Water Hamme

7/21/2019 Water Hamme

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17 Parcel , ITCC Project

KB-01,02

Water hammer

Design criteria :

H = 31.0 m Pump head

28.0 m Static head

L = 500.0 m Pipeline length

D = 250 mm Pipeline diameter = 0.250 m

t = 9.3 mm Pipe wall thickness = 0.0093 m

403.9 Total flow ( pump delivery capacity ) = 0.11220

Pipe material : 3289.25

1- water velocity in the pipe :

S = S = 3.14 x 0.250 x 0.250

0.04909--------------------- ------------------------------------------- =4 4

V =

V =0.11220

2.285!9 m " s--------- ---------------------- =.

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =1

-----------------------------------------------------

1

$D

)

a : Wave velocity ( m sec )

1!!! Water density

2E+009 %a compression elastisity modulus ( young"s modulus ) for water ( pa = nm#)$

2E+011 %a

g = %$&1 'cceleration of gravity

a =1

12!4.31 m"sec ----------------------------------------------------------------

1000 x ( 1 + 0.250 )2.1E+009 0.0093 x 2.1 E+11

3- eriod o! vi"ration :

& = 2 x L

& = 2 x 500.00

0.!8 sec ------------------ -------------------------- = a 12!4.3

#- Wave propa$ation :

%ta$e 1 : &epression wave

%ta$e 2 : &epression ret'rn wave

%ta$e 3 : i$h press're wave

%ta$e # : i$h press're ret'rn wave

5- )i*e o! clos're t :

e!erin$ to the previo's para$raph :

,t sta$es 1 and 2 o! wave propa$ation a depression persist at one side o! chec valve

so that the chec valve still open at these sta$es .

)his *ean : !$& sec

'ec(mmen)ati(n

r x ( * water

pipe

r = +g"m3

* water

=

* pipe

= Tension elastisity modulus ( young"s modulus ) for pipe material $( pa = nm # )

m"sec 2

& : eriod o! vi"ration

t = T =

,hie) ater #/m# VD se/ence ( (#erati(n hae t( tae the time ( res#(nse t( eiminateh)ra/ic hammer in the chie) ater sstem




KB-03

Water hammer

Design criteria :


32.0 m Static head




1!4.4 Total flow ( pump delivery capacity ) = 0.04845

Pipe material :


S = S = 3.14 x 0.200 x 0.200

0.03142 --------------------- -------------------------------------------

V =

V =0.04845

1.54226 m " s--------- ----------------------.

2- Wave velocity :

a =1

-----------------------------------------------------

1 $ )


1!!! Water density


2E+011 %a


a =1

1286.!! m"sec ----------------------------------------------------------------

1000 x (1

+0.200

)2.1E+009 0.00/2 x 2.1 E+11


& = 2 x L

& = 2 x 420.00

0.65 sec ------------------ -------------------------- = a 1286.8







H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2

r x ( * water

pipe

r = +g"m3

* water

=

* pipe

= Tension elastisity modulus ( young"s modulus ) for pipe material $( pa = nm# )

m"sec 2





KB-04

Water hammer

Design criteria :


16.0 m Static head



t = !.1 mm Pipe wall thickness = 0.00!1 m96.5 Total flow ( pump delivery capacity ) = 0.02680

Pipe material :


S = S =

3.14 x 0.150 x 0.150

0.01!6! --------------------- -------------------------------------------

V =

V =0.02680

1.51661 m " s--------- ----------------------.

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m

2



2- Wave velocity :

a =1

-----------------------------------------------------

1 $ D )


1!!! Water density


2E+011 %a


a =1

1303.65 m"sec ----------------------------------------------------------------

1000 x (1

+0.150

)2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 300.00

0.46 sec ------------------ -------------------------- = a 1303.6










)his *ean : !$+ sec

'ec(mmen)ati(n

r x ( * water

x pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =

,hie) ater #/m# VD se/ence ( (#erati(n hae t( tae the time ( res#(nse t( eiminate

h)ra/ic hammer in the chie) ater sstem




KB-05

Water hammer

Design criteria :

H = 2!.0 m Pump head

15.0 m Static head



t = !.1 mm Pipe wall thickness = 0.00!1 m


Pipe material :


S = S = 3.14 x 0.150 x 0.150

0.01!6! ----- -- -- -- -- -- -- -- -- -- -- -- -- -- -- --- -- -- -- -- -- -- -- -- -- -- -- -- -- -- =

V =

V =0.03240

1.83352 m " s--------- ---------------------- =.

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =

1

----------------------------------------------------- 1

$D

)


1!!! Water density


2E+011 %a


a =1

1303.65 m"sec ----------------------------------------------------------------

1000 x (1

+0.150

)2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 220.00

0.34 sec ------------------ -------------------------- = a 1303.6










)his *ean : !$,+ sec

'ec(mmen)ati(n

r x ( * water

pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =





KB-06Water hammer

Design criteria :


20.0 m Static head





Pipe material :


S = S = 3.14 x 0.150 x 0.150

0.01!6! ----------- ---------- --- ----------------- ----------------- ------

V =

V =0.03320

1.8!8!9 m " s--------- ---------------------- =.

2- Wave velocity :

a =1

-----------------------------------------------------

1 $

D)


1!!! Water density


2E+011 %a


a =1

1303.65 m"sec ----------------------------------------------------------------

1000 x (1

+0.150

)2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 280.00

0.43 sec ------------------ -------------------------- = a 1303.6






5 )i*e o! clos're t :

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2

r x ( * water

x pipe

r = +g"m3

* water

=

* pipe


m"sec 2





WH-01,04

Water hammer

Design criteria :


2!.0 m Static head



t = 9.3 mm Pipe wall thickness = 0.0093 m2!0.0 Total flow ( pump delivery capacity ) = 0.0!500

Pipe material :


S = S = 3.14 x 0.250 x 0.250 0.04909--------------------- -------------------------------------------4 4

V =

V =0.0!500

1.52!93 m " s--------- ---------------------- =S 0.04909

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =1

-----------------------------------------------------

1 $ D )


1!!! Water density


2E+011 %a


a =1

12!4.31 m"sec ----------------------------------------------------------------

1000 x (1

+0.250

)2.1E+009 0.0093 x 2.1 E+11


& = 2 x L

& = 2 x 390.00

0.61 sec ------------------ -------------------------- = a 12!4.3










)his *ean : !$1 sec

'ec(mmen)ati(n

r x ( * water

x pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =





WH-05

Water hammer

Design criteria :


2!.0 m Static head



t = !.1 mm Pipe wall thickness = 0.00!1 m95.0 Total flow ( pump delivery capacity ) = 0.02640

Pipe material :


S = S = 3.14 x 0.150 x 0.150 0.01!6! --------------------- -------------------------------------------4 4

V =

V =0.02640

1.49398 m " s--------- ---------------------- =S 0.01!6!

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =1

-----------------------------------------------------

1 $ D )


1!!! Water density


2E+011 %a


a =1

1303.65 m"sec ----------------------------------------------------------------

1000 x (1

+0.150

)2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 320.00

0.49 sec ------------------ -------------------------- = a 1303.6










)his *ean : !$+% sec

'ec(mmen)ati(n

r x ( * water

x pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =







WH-06

Water hammer

Design criteria :


18.0 m Static head



t = !.1 mm Pipe wall thickness = 0.00!1 m96.! Total flow ( pump delivery capacity ) = 0.02685

Pipe material :


S = S = 3.14 x 0.150 x 0.150 0.01!6! --------------------- -------------------------------------------4 4

V =

V =0.02685

1.51944 m " s--------- ---------------------- =S 0.01!6!

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =1

-----------------------------------------------------

1 $ D )


1!!! Water density


2E+011 %a


a =1

1303.65 m"sec ----------------------------------------------------------------

1000 x (1

+0.150

)2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 310.00

0.48 sec ------------------ -------------------------- = a 1303.6










)his *ean : !$+& sec

'ec(mmen)ati(n

r x ( * water

x pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =







RD-03

Water hammer

Design criteria :


29.0 m Static head





Pipe material :


S = S = 3.14 x 0.150 x 0.150

0.01!6! --------------------- ------------------------------------------- =

4 4

V =

V =0.02865

1.62131 m " s--------- ---------------------- =S 0.01!6!

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =1

-----------------------------------------------------

1 $ D )


1!!! Water density


2E+011 %a


a =

1

1303.65 m"sec ----------------------------------------------------------------

1000 x (1

+0.150

)2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 280.00

0.43 sec ------------------ -------------------------- =

a 1303.6










)his *ean : !$+, sec

'ec(mmen)ati(n

r x ( * water

pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =







RD-04

Water hammer

Design criteria :


16.0 m Static head



t = !.1 mm Pipe wall thickness = 0.00!1 m135.5 Total flow ( pump delivery capacity ) = 0.03!65

Pipe material :


S = S = 3.14 x 0.150 x 0.150 0.01!6! --------------------- -------------------------------------------4 4

V =

V =0.03!65

2.13062 m " s--------- ---------------------- =S 0.01!6!

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =1

-----------------------------------------------------

1 $ D )


1!!! Water density


2E+011 %a


a =1

1303.65 m"sec ----------------------------------------------------------------

1000 x (1

+0.150

)2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 420.00

0.64 sec ------------------ -------------------------- = a 1303.6










)his *ean : !$+ sec

'ec(mmen)ati(n

r x ( * water

x pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =







IT-01

Water hammer

Design criteria :


24.0 m Static head



t = !.1 mm Pipe wall thickness = 0.00!1 m108.! Total flow ( pump delivery capacity ) = 0.03020

Pipe material :


S = S = 3.14 x 0.150 x 0.150 0.01!6! --------------------- -------------------------------------------4 4

V =

V =0.03020

1.!0902 m " s--------- ---------------------- =S 0.01!6!

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =1

-----------------------------------------------------

1 $ D )


1!!! Water density


2E+011 %a


a =1

1303.65 m"sec ----------------------------------------------------------------

1000 x (1

+0.150

)2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 220.00

0.34 sec ------------------ -------------------------- = a 1303.6










)his *ean : !$,+ sec

'ec(mmen)ati(n

r x ( * water

x pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =







IT-02

Water hammer

Design criteria :


24.0 m Static head





Pipe material :


S = S = 3.14 x 0.150 x 0.150

0.01!6! --------------------- -------------------------------------------4 4

V =

V =0.03640

2.05988 m " s--------- ----------------------S 0.01!6!

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2



2- Wave velocity :

a =1

-----------------------------------------------------

1

$D

)


1!!! Water density


2E+011 %a


a =1

1303.65 m"sec ----------------------------------------------------------------

1000 x ( 1 + 0.150 )2.1E+009 0.001 x 2.1 E+11


& = 2 x L

& = 2 x 350.00

0.54 sec ------------------ -------------------------- = a 1303.6







e!erin$ to the previo's para$raph : ,t sta$es 1 and 2 o! wave propa$ation a depression persist at one side o! chec valve


)his *ean : !$*+ sec

'ec(mmen)ati(n

r x ( * water

pipe

r = +g"m3

* water

=

* pipe


m"sec 2


t = T =




Water hammer

Design criteria :


35.0 m Static head





Pipe material :


S = S = 3.14 x 0.250 x 0.250

0.04909--------------------- -------------------------------------------

V =

V =0.02222

0.452!2 m " s--------- ---------------------- =S 0.04909

2- Wave velocity :

a =1

-----------------------------------------------------

1 $

D)


1!!! Water density


2E+011 %a


a =1

1128.36 m"sec ----------------------------------------------------------------

1000 x (1

+0.250

)2.1E+009 0.00# x 2.1 E+11

H 0 =

# = m3 " h m3 " sec

# = V x S

3.14 x D2

m2

r x ( * water

x pipe

r = +g"m3

* water

=

* pipe


m"sec 2




& = 2 x L

& = 2 x 500.00

0.89 sec ------------------ -------------------------- = a 1128.4



%ta$e 2 : &epression ret'rn wave%ta$e 3 : i$h press're wave






)his *ean : !$&% sec

- axi*'* press're variation :

a x V 11#&$+ - !$+*,*#$1 m------------------ ......................... =

g %$&1


t = T =

T : eriod o! vi"ration

t : hec valve closin$ ti*e .

4't in reality ( t will "e less than ( T "eca'se o! p'*p and chec valve inertia .

6! ( t is less or e7'al to ( T then the *axi*'* press're is $iven "y the !ollowin$ !or*'la :

Dh = Dh =



- %teady state head !riction loss :

----- x --------- D 2 g

!$!## 1"1 8riction coe!!icient o! the pipe

L = 500 m Pipeline length


V = 0.453 m " sec /ean water velocity in the pipe


!$!## -

*!!$ !$+*, -!$+*,

!$+ m------------- x -------------------- = !$#*! # - %$&1

)his press're is s'pposed to "e added to the static press're pl's the !riction head loss :

,*$!! 0 *#$! 0 !$+ = &$* m

Dhh!riction=

l x

L V 2

l =

m"sec 2

Dhfriction =

H *ax

H static

+ Dhha**er

+ Dh

!riction

H *ax

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Water Hamme