156
EFFICIENCY OF HEAT TRANSMISSION IN A VACUUM EVAPORATOR T. AGAZI'M J. G. SHAKMAN ARMOUR INSTITUTE OF TECHNOLOGY 19 14 542,48 Ag 1

Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

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Page 1: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

EFFICIENCY OF HEAT

TRANSMISSION IN A VACUUM EVAPORATOR

T. AGAZI'M

J. G. SHAKMAN

ARMOUR INSTITUTE OF TECHNOLOGY

19 14

542,48Ag 1

Page 2: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Illinois Institute

of Technology

UNIVERSITY LIBRARIES

Page 3: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

AT 322Agazim, T.Efficiency of heattransmission in a vacuum

F«" Use to Ubraiy Only

Page 4: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 5: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 6: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 7: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

EFFICIENCY OF HEAT TRANSMISSION IN A VACUU:.

EVAPORATOR.

A THESIS

PRESENTED BY

TOLY AGAZIM

AND

JAMES G. SHAKMAN

TO THE

PRESIDENT AND FACULTY

OF

ARMOUR INSTITUTE OF TECHJ OLOGY

FOR THE DEGREE OF

BACHELOR OF SCIENCl

IN

CHEMICAL ENGINEERING

HAVING COMPLETED THE PRESCRIBED COURSE OF STUDIES

IN

CHEMICAL ENGINEERI] ( .

APPROVE _

ILLINOIS INSTITUTE OF TECHNOLOGY

PAUL V. GALVIN LIBRARY

35 WEST 33RD STREET

CHICAGO, IL 60616 ®L±¥^ZLr+r*ri(S&Jb

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Introduction .

description of apparatus

Hethod of proci. ci -

*

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Page 14: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
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Efficiency of Heat Transmission

in a

Vacuum 3vap orator.

Evaporation plays an important part in a

large number of chemical industries. It is

effected by the use of various forms of appar-

atus, amongst the most efficient of which is

that type known as the vacuum, or reduced

pressure, evaporator.

The most common source of heat for use in

evaporators is steam, the energy of which is

transmitted to the liquid to be evaporated through

metallic surfaces of some kind. Hence, it is

desirable to know the effect produced on the

ecomomy of evaporation by the various metals

used in practice. In the following pages, we

will show the behavior of the metals, copper,

lead, steel, tin, and aluminum, in regard to

their properties of conducting heat. Since

impurities in the metals affect these properties

to marked degrees, it is necessary to obtain

an exact analysis of each metal used, in order

that the data gathered may have comparative

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I

Page 17: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

value. For this reason, the metals used were

analyzed, and the methods used are herein

incorporated

.

Th"e evaporator used was designed "by the

Swenson Evaporator Company, for experimental

purposes. The general outline and dimensions

of the apparatus are shown in detail in the

accompanying plates and drawings. The walls

of the evaporator were of half inch, cast

iron plate, "bolted with three-eighths inch

holts. The metals used in the tests were in tube

form. Thirty-two tubes fitted into holes Ln

walls in the steam chests, and were held steam

tight "by means of rubber gaskets and cast iron

tube plates. The tubes opened at each end into

steam chests. In the entering steam chest, a

guage and thermometer were inserted, in order

to measure the pressure and actual temperature

of the entering steam. The exhaust temperature

was read from a thermometer placed in the exhaust

pipe. The quality of the entering steam was

determined by means of a Carpenter separating

calorimeter, connected into the stea:.. line

near admission. A baffle-plate was bolted in

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proper position in the dome of the evaporator,

in order to prevent entrainment of water with

the vapors .The vapors are taken from the evap-

orator through a five inch cast iron plate,

which led them to a jet condenser of the parallel

current, standard low vacuum type. The water

from the condenser was exhausted by a direct

acting steam pump. The pump was manufactured b£

The American Pump Company, under the following

specifications:

Diameter of steam cylinder - 4 inches.

Diameter of water cylinder - 3 inches.

Diameter of piston rod- 7/8 inch.

Length of stroke - 6 inches.

The steam pressure gauge was manufactured

by the Ashcroft Manufacturing Company. It was

calibrated with a Crosby gauge tester, and from

the data obtained, the calibration curve was

plotted. By means of this curve, the gauge

readings were corrected. The vacuum gauge, made

by the Schaffer and Budenberg Company, was

calibrated against a mercury column. A

calibration curve was plotted, from which the

readings were corrected. Tme thermometers used

were compared to a standard thermometer

.

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.

..

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Platform scales, used to weigh the water evap-

orated and the steam condensed, were checked

with standard weights.

After all the instruments and metal tubes

were properly set, the apparatus was inspected

for steam leaks, and if none were found, the

evaporator was ready for the test. If a leak

appeared, it was remedied. All runs were made

of two hours duration, and were made under as

nearly constant conditions as possible.

Throughout the experiment, steam was admitted

at a pressure of ten pounds. The vacuum was

varied, some tests "being made at eighteen inches

others at twenty. Readings "'ere taken every five

minutes during the two hours of a run, of the

pressure gauge, of the vacuum gauge, of the

temperature of the incoming steam, and of the

temperature of the condensed steam.

In starting the run the evaporator was

filled with water to a point above the upper

tu"be level, and the conditionsunder which

the test was to "be made, we re reached a - main-

tained for a time long enough to ensure constancy,

The vacuum was then broken, and the level of

Page 22: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

. riio

-

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the water adjusted to a definite mark, just

up to the top of the tube level. It has "been

determined that the most economic and rap-id

evaporation takes place when the liquid just

covers the tubes; hence, this level was main-

tained, approximately, throughout the run.

After adjustment of the level of the water,

upon "breaking the vacuum, the conditions of

the test were again attained, with the least

possible evaporation. As soon as these were

reached, the required readings were taken,

these constituting the first of the run.

Water from a weired tank, at a known temperature,

was added to the evaporator at frequent intervals,

in order to replace that which had evaporated.

The steam exhausted into a trap (Crane Company //l),

in which complete condensation took place. The

condensate was collected under weighed amounts

of cold water.

Data for a complete run included not only

"both gauge readings, and both temperature

readings, but also the barometer, the weight

and temperature of the water added to the

evaporator, and the weight of the condensed

steam. M.'hen the two hours of a run ended, the

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Page 25: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

vacuum pump and steam supply was cut off, the

vacuum was broken, and the water level adjusted

to the mark. It was found that, by careful

manipulation, little water had to "be drawn

off for correct level adjustment. If the amount

dravm off exceeded two pounds, the heat absorbed

by it was calculated and added to that transferred

during the run. For amounts under two pounds,

the error introduced by not considering the

heat content of the water withdrawn, was negligible.

The level was carefully watched, so that it

was unnecessary at the end of a test to add water

to reach the proper mark.

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Page 27: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Methods of Analysis.

Aluminum tubes.

Alkalies:

Two gram samples are dissolved in 30 cc

of dilute hydrochloric acid .Ammonia in slight

excess is added; the solution is boiled until

barely alkaline, and filtere d.The residue is

dissolved in a minimum quantity of hydr chlor-

ic acid, and re-precipitated with ammonia as a

hove. After filtration, the filtrate is added to

the first, and the combined filtrates tested

for aluminum. The solution evaporated is freed

from ammonia salts at incipient redness. The

residue is taken up in water and filtered in-

to a platinum dish.The solution is evaporated,

the residue dried and weighed. an£ reported

as alkalies

.

Silicon:

Two gram samples are dissolved in30 cc

of sulphuric acid, in casseroles .'nhe solution

is evaporated to dryness and baked on the hot

plate. To the residue, 30 cc of hydrochloric

acid (1:1) is aadedjthe solution is boiled

and filtered. The residue is washed, dried, ig-

nited, and weighed i : platinum. Several drops

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Page 29: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

of sulphuric acid and 5 cc of hydrofluoric

acid are added. The acids are evaporated and

the residue is ignited and weighed.The loss

in weight is the weight of silica present in

the sample .Prom this silicon ie calculated.

Iron:

Two grams of the sample are treated with

40 cc of50 % caustic potash on the waterbath.

"he insoluaole material is filtered off, wash-

ed, and dissolved in hydrochloric acid .This sol'

ution contains the iron present in the sample.

It is titrated with fiftieth normal potass-

ium permanganate solution "by the stannous chlr

oride method, using guard solution. Iron, is re-

ported as such.

Aluminum:

One quarter gram of sa. .pie is dissolved

in hydrochloric acid .Excess ammonia is added

and the solution 'boiled to slight alkalinity.

The precipitate is filtered , washed and re-

dissolved in a minimum amount of hydrochloric

acid. Ammonia is again added and the solution

to ilea to traces of the alkali .The precipitate

is filtered .washed, dried, ignited, and weighed

.

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Page 31: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

This weight is recorded as combined iron and

aluminum oxides.irom this the percentage of

iron, previously determined, is subtracted and

from the remainder, aluminum is calculated.

Steel Tubes.

The common impurities, namely, sulphur,

phosphorous, manganese, carbon, and silicon

are determined by methods described in the

bulletin of the Government bureau of Standards

Circular of the Bureau number 14.

"o methods of analysis appear for the

copper, tin and lead tubes. \7e have taken the

results obtained by other workers for these

metals .

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Lata for the tu"bes.

Metal Analysis MeasurementsInside Thick,diameter, of wall,

Copper Cu - 99.92 % .63 in. .06 in,No impuritiesfound .

Lead Sb - 9.5 % .45 in. .15 in.Pb -90'. 2 %

Tin i3n -99.6 % .48 in. .125 in.Sb - .4 %

Aluminum Al -97.9 %' .6 in. .075 in.Al

Page 34: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

.

Page 35: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Mechanical Engineering LaboratoryARMOUR INSTITUTE OF TECHNOLOGY

Date

CALIBRATION OF VACUUM GAUGE.

By comparison with mercury column.

Maker and number of gauge BohSkt£.££ and Eudenburg.,

Observer

Number

Page 36: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 37: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 38: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 39: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Mechanical Engineering LaboratoryARMOUR INSTITUTE OF TECHNOLOGY

Date.

CALIBRATION OF PRESSURE GAUGE.

By comparison with Square Inch Gauge Tester.

Maker and number of gauge Ashcroft Company. 18050.

Page 40: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 41: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

mmm p.^!%^zu^'rzfl£^J_CL«Ast*!A^: : i__i

I

'

i ;

;

!

1

pJ 1 :

j

4_—i ;, \ ,

: : \:-

: h . i. . *f i%ps-o.

20

fjr

Page 42: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 43: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Formulae

:

Heat lost "by steam -

(1) W(xr+ti-t 2 )

w" = weght of steam condensed .

x= quality of stear.;.

r = latent heat of steam.t-,= temperature of entering stear..

t 2= temperature of exhaust steam.

###Heat transferred to water -

(2) w[r,+t -t ]

w = weight of water evaporated

.

r-,= latent heat of steam.t 3

= temperature of hoiling liquid,t = temperature of water atentrance to evaporato:4

A

Quality of steam -

(3) x =

x = quality of steam.w = weight of water in steam.V/ = weight of steam.

Quality of steam, corrected -

( 4 ) X = xr+q-qc

X = quality corrected.

Capacity of evaporation -

(5( r _ wSxWCxr+ti-tiT

C = water evaporated per sqare foot per E.T.U.S = total heating surface.

Page 44: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

J

.

Page 45: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Velocity of steam thru tuoes.-

6 ) y _ x .W . s

A.T

V = velocity in feet per minute.s = specific volume of steam.A = total area of steam passages.T = time in minutes.

Mean temperature difference -

(?) d' = t x - ts + t,

2

d' = mean temperature difference.

Coefficient of heat transference -

(8) 60(v:[ ri+t ,-t J)

f"7s .d' .V.d

K = coefficient of heat transference.T = time in hours,d = density of steam.

The foregoing formulates the theory upon whichthe results have "been calculated.

Page 46: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 47: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Data

and

Calculations

f or the

Copper Tu"bes

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Page 49: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 50: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe
Page 51: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Run One .

Vacuum, corrected- 19.7 inches.Absolute pressure - 4.7 l"bs.

# #Temperatures in degrees F.Inlet 231.4Exhaust 18 5

Boil, point of v/ater(4.7 les)159.5# #

Latent heats -

At 231 . 4°F . 956 . E .T .U .

At 4.7 lhs. 1002.0 E.T.U.# #

Quality of steam, corrected -

x = » 21 = .85 85 ^.246

x c = .85x89 7+286-206 _ 075 g7 5 <f

958 " '

# #Heat lost "by steam -

177 ( .875x958 +231.4-185) =156,200 E.T.U.

Heat transferred to water -

123. 4[ 1002* (159. 5-60) J = 135,700 E.T.U.

Efficiency ofevaporati on - 86.8 %.# #

Capacity of evaporation -

C = 123.4 = .00073 l"bs.

10xl77y"8'86.8 =

f #Velocity of stea/: thru tubes -

Specific volume at 208°?. - 28.75 cu .f t

.

Density - .0347 lhs

V= 177x28. 7 5 x_j£i7_5.06~9 4xT20 = 5 36 f t ./min .

it j/rr Jr

Coefficient of heat transference -

d» = 231.4 - 159.5+60 = 121uI

.

2K = 135 ,700x60 - 167 .

2x10 .8x121 . 4x5 36x. 0347

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Run Two

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Page 57: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Run Three.

Time Vacuum Steam Temperature of SteamPressure Inlet Exhaust

10

11

12

14 14.5 8 110 C 99o C

19 18 10 114 9624 IS 10 114.5 8629 16 10 115 86.434 18 10 114.3 65.539 18 10 114.5 E5.544 18 10 114.8 65.549 18 10 115 85.554 18 10 115 8659 18 10 115.3 8604 16 10 lid 8609 16 10 115 6614 16 10 115.5 £5.519 18 10 115. 65.524 16 10 115.5 6529 16 10 115 £4.534 16 10 114 63.239 16 10 115.7 64.544 18 10 • 115.5 8449 16 10 116 6454 18 10 115 £3.259 16 10 115.7 £304 18 10 116 63.2

:09 18 10 116 £3:14 18 10 114.5 63

Average Values18 10 115 66

Water evaporated - 100.1 l"bs

.

Initial temperature - 68.5° F.

Steam condensed - 136 l"bs

.

Bar ome t e r - 29 . 5

4

quality of steam -

Weight of steam - 1.1Weight of water - .151

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Run Three

.

Vacuum, corrected - 17.7 inches.Ac-solute pressure - 5.66 lbs.

# #Temperature in degrees F.-Inlet - 250.2.Exhaust - 186.8Boiling point at 5.66 lbs.- 168.5

# #Latent heats -

At 250. 2°F. 945 B.T.U.At 5.66 l"bs

.

997 B.T.TT.

# |Quality of steam, corrected -

x= 1.1 =.88 66^1.251

xc = .68x69 4. 5+289, 5-216. 5x100 = 90.5 %945

# #Heat lost "by steam -

136 ( .905x945 +250.2-63) = 124, 800 B .T .U .

Heat transferred to water -

100. l[997 + 168. 5-66. 5)J = 110, 000 F .T .U .

Efficiency of evaporation - 88.5 ^# #

Capacity of evaporation -

C = 100.1 = .0007 44 lbs.10.8x124.800# #

Velocity if steam thru tubes -

Specific volume at 216. 5°F.- 24 cu.ft.Bensity - .0146 7 lbs.

V = .905x136x24 = 355 ft ./mill..0694-120

# iCoefficient of heat transference -

d' =250.2- 166.5+68.5 = 132° F.

K = 110,000x60 = 156.2x10.6x132x355x704167

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Run Four.

Time Vacuum Steam Temperature of SteamPressure Inlet Exhaust

12:38 16 10 116. 4°c. 78° c:43 20 10 114 60:48 20 10 114 79.5:53 20 10 115.4 79.5:58 20 10 114.5 £0.1

1:03 20 10 114 79.6:08 20 10 114 79.5

13 20 10 115 79.6IE 20 10 114 79.523 20 10 114.1 79.52£ 20 10 113.4 7933 20 10 112 793E 20 10 110 7843 20 10 111 7848 20 10 111 7£.653 20 10 111.4 78.658 18.5 10 110.5 79.503 20 10 110.5 76.508 20 10 111 78.213 20 10 110 77.518 20 20 111 7£23 20 10 111 78.226 20 10 111 76.233 20 10 111 7«.

»* 20 xO 110 78

Average Values20 10 112.5 76.7

V/ater evaporated - 100.6 lbs.Initial temperature - 63° F.

Steam condensed - 140 ll>s

.

Barometer - 29.54 inches.

Quality of steam - 1.1 lbs.Weight of steam -

Weight of water - .151 lbs.

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Run Four.

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Data

and

Calculations

for the

Lead Tuoes.

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.

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Run One.

Time Vacuum Steam Temperature of SteamPressure Inlet Exhaust

1

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19,

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,

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Run Two.

Time Vacuum Steam Temperature of SteamPressure Inlet Exhaust

10 113° C 102010 112.5 91.510 113 8610 113 8310 112 82.510 112 8210 112 8210 111 8210 112 6310 112 83.510 111 84.510 112 83.510 111.5 83.510 112 8410 112 8410 111 83.510 112 83.710 112 8410 111 6410 112 8410 112 84.510 112 84.510 112 64.510 111 85.510 112 65.5

10 112 84

Water evaporated - 104.9 lbs.Initial temperature - 71° F.

Steam condensed - 152.4 lbs.

Barometer - 29.5 inches.

Quality of steam -

Weight of steam - .63 lbs.Y/eight of water - .105 lbs.

6

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.

.

_

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Run Two .

Vacuum, corrected - 17.7 inches.Absolute pressure - 5.8 lis.

# #Temperatures in degrees P.Inlet - 234Exhaust - 183Eoiling point at 5,8 Ids. - 168.5

# #Latent heats -

At 23 1° I .- 956 B.T.U.At 5.8 Ids. - 997 E.T .U .

# #Quality of steam, corrected -

x = .63 =.86 86. %.735

Xc = .86x894.1*290.2-202.1 = 69. 6g9~56

# #Heat lost "by steam -

152. 4( .896x856 +234-183) = 158 , 300 B.T .U .

Heat transferred to water -

104.9[997 + (166.5-71)J = 114,800 B.T .U

.

Efficiency of evaporation - 83 %# #

Capacity of evaporation -

C = 104.9 = .00097 lbs.7.8 2x136,300# #

Velocity of steam thru tubes-Specific volume at 206.5° F.- 28.58 cu.ftDensity - 03499 lbs,

v = 152. 4x28

.

56". 896 = 919 ft ./mi

n

' .0354x120# #

Coefficient of heat transference -

d' = 234 - 168.5+71 = 114° P.2

K = 114,800x60 = 120.2x7. 82x114x9 19x. 03499

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»1JJ

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Run Thn

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Run Four.

Time Vacuum Steam Temperature of SteamPressure Inlet Exhaust

10 115.5° C 103 °i

10 114 9610 113 90.510 112 89.510 113.5 8810 113 8610 113 8610 113 6610 114 86.510 113 86.510 113 87

10 112.5 8710 113 6810 113 6710 113.5 6810 113.5 67.510 113 8610 113 87.510 113.5 6710 113 86.510 113 8710 114 8710 114 6710 112.5 6610 112.5 88

10 113 87

\7ater evaporated - 117.6 Its.Initial temperature - 77.5° F.

Steam condensed - 172.75 lias.

Barometer - 29.4 inches.

Quality of steam -

Weight cf steam - .53 l"bs

.

Weight of water - .079 lbs

.

10

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Run Four

.

Vacuum, corrected - 17.7 inches,.absolute cressure - 5.75 Its.

# #Temperature in degrees F.-Inlet - 236Exhaust - 188.5Eoiling point at 5.75 Ids.- 167.5

# #Latent heats-

At 236° F.- 95 4 B.T.U .

At 5.75 lbs. - 996.2 B.T.U.# #

Quality of steam, corrected -

x = .55 = .66 66 %._609

"

Xc = .86x691+294.2-205.2 =.90 90 %95~4

# #Heat lost by steam -

172. 75( .9x954+236-166.5) = 156,500 B.T.U.

Heat transferred to v; ater -

117. 6[996.2+(167. 5-77. 5)J * 127,800 B.T.U.

Efficiency of evaporation - 62 %# #

Capacity of evaporation -

C = 117.6 = .00096 lbs.7.62x156" 500

# #Velocity; of steam thru tubes -

Specific volume at 211 F. 26.79 cu.ft.Density - .03664 lbs

V = 17 2,75x .9x2£.79 = 979 ft./min..0354x120

# #Coefficient of heat transference -

d' =236 - 167.5+77.5 = 114° F.

K = 127,600x60 = 119.!2x7 ,62xll4x979x. 03664

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[

-I

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Data

and

Calculations

for the

Steel Tubes.

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Time VacuumRun One

.

SteamPressure

Temperature of SteamInlet Exhaust

11

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Run One

Vacuum, corrected -

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- !

.

-

:

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Run Two

.

Time Vacuum SteamPressure

Temperature of SteamInlet Exhaust

1

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Run Two.

Vacuum, corrected - 19.7 inches.Absolute pressure - 4.83 lbs.

# #Temperatures in degrees F.-Inlet - 254Exhaust - 179Boiling point at 4.83 l"6s.- 160.9

# #Latent heats -

At 234° F. - 956.2 B.T.U .

At 4.83 lbs.- 1001.5 E.TJ1..

# #Quality of steam, corrected -

x = .71 = .85 85 %.635

Xc = ^65x894. 2+290. 2-202 = .££5 88.5 %"""956

# #Heat lost "by steam -

176. 1( .885x956. 2+234- 179) = 159,000 B.T.U.

Heat transferred to water -

122. l[l001.5 + (160. 9-71)] = 133,800 B.T.U.

Efficiency of evaporation - 8 4 %# #

Capacity of evaporation -

C = 122.1 = .000897 lbs.8.56x159,000

# #Velocity of steam thru tubes -

Specific volume at 206.5° F. 29.39 cu.ft.

Density - .03402 lbs

V = 176. lx. 885x29 . 39.

= 677 f t ,/min.0436x120

# #Coefficient of heat transference -

d' = 234 - 161+71 = 118° F.

2

K = 133, £00x60 =,

133.

"2x8. 56xll£x£77x. 03402

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Run Three.

Time Vacuum Steam Temperature of SteamPressure Inlet Exhaust

9

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Run Three.

Vacuum, corrected - 19.7 inches.Absolute -ores sure - a. 87 lbs.

# #Temperatures in degrees F.-Inlet - 231.8Exhaust - 185.2Boiling point at 4.87 lbs.- 161.2

# #Latent heats -

At231.6° F.- 956 B.T.U.At 4.87 lbs. - 1001 2.T.U.

# #Quality of steam, corrected -

x = .?43 =.85 85 %.505

Xc = .e5x897. 1+286-199.1 =.888 88.8 %958"# #

Heat lost by steam -

165. 05fc958x. 868+231. 8-165. 2) = 148,500 E ,T .U .

Heat transferred to water -

110. 6[l001+(161. 2-67. 5)J = 121,000 B.T.U.

Efficiency of evaporation - 81.6 %# #

Capacity of evaporation -

c = H0.6 = ..'0088 lbs.8.56x148,500

# #Velocit / of steam thru tubes-Specific volume at 208.5 F.- 28.65 cu.ft.Density - .03466 lbs

V = 16 5. 5x. 868x28. 6

5

= 806 ft./irin..0436x120

# #Coefficient of heat transference -

d' = 232 - 161.2+67.5 = 118 ° F

.

K = 121,000x60 _ =128.2x8 ."56x1 18 x8 08 x"70346

6

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Run Four.

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Data

and

Calculations

for the

Tin Tuoes.

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"acuum

11

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Run One

.

Vacuum, corrected - 19. 7 inches.Absolute pressure - 4.9 lias.

Temperatures in degrees P.Inlet - 238Exhaust - 160Boiling point at 4.9 lbs.- 161.5

# #Latent heats -

At 238° P.- 95 4 B.T.U.At 4.9 lbs.- 1001 B.T.U.

# #Quality of steam, corrected -

x = .4 = .86 86 %.468

X c = .86x891.2+291.7-207 =.89 89 %954# #

Heat lost by steam -

174. 4( .89x954+238-160) = 162,000 B.T.U.

Heat, transferred to water -

121.4[l001+(l51.5-68)J = 131,500 B.T.U.

Efficiency of evaporation - 81.5 %# #

Capacity of evaporation -

C = 121.4 = .000913 lbs.8.22x162,000# #

Velocity of steam thru tubes -

Specific volume at 199° P.- 34.26 cu.ft.Density - .02919 lbs.

V = .89x17 4.4x34 .26 _ = 1110 ft./min..0402x120

# #Coefficient of heat tranference -

d' = 238 - 161.5+68 = 123° P.

K = 131, 000x60 = 121.2x8 . 22xl23xlll0x. o~29 19

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Run Two.

Time Vacuum Steam Temperature of SteamPressure Inlet Exhaust

10 113° C 76° '

10 113 7310 115.5 7410 114 74.510 114 74.510 113 7410 113.5 74.510 113 75

10 114 7510 113.5 74.510 113.5 74.510 113 7410 113 74.510 114 7510 113 74.510 113 7510 114 74.510 114 74.510 114 7 4.510 114 74.510 113.5 74.510 114 7410 114 7310 113 72.510 112 72

10 113 74

Y/ater evaporated - 104.2 Ids.Initial temperature - 63° F.

Steam condensed - 155.5 lbs.

Barometer - 29.96

Quality of eteam -

V/eight of .eteam - .4 lbs.Weight of water - .068 lbs.

2

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Run Two

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Time

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Run Three

.

Vacuum, corrected - 17.7 inchesAbsolute pressure - 5.85 lbs.

# #Temperatures in degrees F.Inlet - 237.5Exhaust - 179Boiling point at 5.85 lbs . - 168.5

# #Latent heats -

At 237.5° . 95 4 B.T.U.At 5.85 lbs. 996 E.T.U.

# #tjuality of steam, corrected -

x = .37 = .66 86 %

xc = .£6x891+291.7-207 =.89 69 %954# #

Heat lost by steam -

224. 61( .69x954+56.5) = 204,000 E.T.U.

Keat transferred to water -

153. 4[ (996+166.5-66) J = 166,000 E.T.U.

Efficiencv of evaporation - 82 %i #

Capacity of evaporation -

C = 153.4 =.000915 lbs."8722x204,000

# #Velocity of steam thru tubes -

Specific volume at 208.2° F. 28.41 cu .f

t

Density - .0352 lbs

V = .69x224 .8x28.41 = 1160 f t ./min.0402x120

# #Coefficient of heat transference -

d' = 237.5 - 166.5+66 = 119° F.

K = 166,000x60 = 123.52x8. 22xll9xll80x. 0352

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Run Four

Time Vacuum SteamPressure

Temperature of SteamInlet Exhaust

9

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Run Four.

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- .

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-I.

I

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Data

and

Calculations

for the

Aluminum Tubes.

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JBJ'

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Time

12

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. snO

0101

111

01

01

01

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Run One.

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'

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Run Two,

Time Vacuum SteamPressure

Temperature of SteamInlet Exhaust

2:11

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Run Two .

Vacuum, corrected - 17.7 inches.Absolute pressure - 5.85 Its.

# #Temperatures in degrees F.-Inlet - 226Exhaust - 189Toiling point at5.65 lbs . 168.3

# #Laten^t heats-

At 226° }•'.- 962.1 B.T.U.At 5.85 lbs. - C96 B.T.U.

# #Quality of steai;., corrected -

x = .55 =.64 .84^.655

Xc = .64xE98+ 2£5- 199.1 = .88 86 %962.1

# #Heat lost by steam -

176. 2( .88x962.1+226-169) = 155,500 E.T.U.

Keat cransfeired to water -

113.7L996+(168.3-73)j = 124, 100 B.T .U .

Efficiency of evaporation - 80 %# #

Opacity of evaporation -

C = 113.7 = .000712 lbs.10.26x155,500

# #Velocity of steam thru tubes -

Specific volume at 207.5° F. 29.64 cu.ft.Density - .03435 lbs

v = _J76_x2x.88x29.64 _ = 610 ft./min.."06 3x120*

# #Coefficient of heat transference -

2x1026x111x6 lOx. 03435

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Time

283338454853580308131623283338434£5358050813182328

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Run Three

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Run Pour.

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,J

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Conclusion

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Page 139: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

In conclusion, we wish to give a comparative

report of our results. It is not pos sible to

compare exactly the action of the different metals

with regard to their heat conducting properties,

since they do not occur in exactly the same

conditions of purity and thickness. In all the

calculations, the thicknesses of the tubes are

neglected, due to the fact that they have slight

effect for the small values given.

Table of Results.

Values of K.

Vacuum Copper Lead Steel Tin Aluminum

18in. 165.5 120 135.7 122.5 160

20 in. 165.5 116.3 131.5 122.5 169

Values of efficiency..

18 in. 87.8 82.5 82.2 81.3 80

20 in. 86.2 83.1 82.8 81.5 81.9

Values of cap^tty.

18 in. .000737 .000975 .000872 .000896 .00071

20 in. .00072 .000972 .000888 .000908 .00073

The following table shows the relation

between the velocity of the steam in the tubes

to the water evaporated, in each test.

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.

^

Page 141: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

Copper tubes

.

Velocity 536 ft. 314 ft. 355 ft. 485 ft.per min.

Water evap. 123.4 72.4 100.1 100.6 pounds

Lead tubes.

Velocity 929.5 919 1098 979

Water evap. 101.6 104.9 161.8 117.6

Steel tu"bes .

Velocity 800 877 808 812

Water evap. 119 122.1 110.6 113.5

Tin tubes.

Velocity 1110 955 1180 1150

Water evap. 121.4 104.2 153.4 126.8

Alminura tubes.

Velocity 612 610 677 875

Water evap. 120 113. 118 149

With reference to the first three tables,

the results for the different conditions of

operation are shown to agree closely. The

agreement is so general that we may state that

variations in conditions of operation affect

none of the constants of the metals, but serve

merely to vary the capacity of the evaporator.

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. i

.

Page 143: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

The capacities recorded in the tables rep-

resent the evaporation in pounds of water per

square foot of heating surface per B. T. U.

It remains practically constant. Values of the

coefficient of heat transferrence and of

efficiency are constant. The first three tables

represent the averages of check runs, for the

different conditions maintained during a run.

The table of velocities shows the results for

each run made on a tu"be

.

In the following table , averages are rep-

orted. This is allowable, since it was found

that no differences in the constants of the tubes

were caused by the changes in the conditions.

Table of Averages.

Metal K Efficiency C

Copper

Page 144: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

siiT

i i

'10' v.r tO 9l

-

-

.

Page 145: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

From the standpoint of the industries, there

is little choice "between any of the tubes, with

the exception of copper, on the "basis of efficiency.

The variation of the coefficient of heat

transf errence of the different metals is shown

in the ta"ble, likewise that of the capacity

coefficient. The results obtained on the tin

and lead tubes cannot be properly compared with

the other results, for the reason that the

temperature maintained during a test, caused

an elongation of the tubes, with the resulting

increase in heating surface which was impossible

to measure accurately. This accounts for the

unusual values of the constants of the lead add

tin tubes, more so in the case of the former

than in that of the latter.

The quality of the steam from the boiler

was determined at boiler pressure. Lit earn was

admitted to the evaporator at a pressure of

ten pounds. The throttling of the steam through

the valve dried it somewhat, necessitating the

correction as made.

Page 146: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

a

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Page 149: Efficiency of heat transmission in a vacuum evaporator...value.Forthisreason,themetalsusedwere analyzed,andthemethodsusedareherein incorporated. Th"eevaporatorusedwasdesigned"bythe

"h b pi l.

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