Fluid Machines (ME-303E)

Time: Three Hours Maximum Marks: 100 Note: - Attempt any FIVE questions taking at least one from each unit.

UNIT – I

l. (a) A jet of water moving with a velocity of 22 m/sec. strikes a curved vane tangentially at one end and leaves at an angle of l20° to the direction of motion of the vane. The nozzle angle is l8° and the vane velocity is 10 m/sec. Calculate (i) Vane angle at Inlet and Outlet. (ii) Work done per second per unit mass of water. (b) A jet of water of diameter 75 mm moving with a velocity of 25 m/sec. strike a fixed plate in such a way that angle between the jet and the plate is 60°. Find the force exerted by the jet on the plate. (i) In the direction normal to the plate (ii) In the direction of jet.

2. (a) Define the following dimensionless number : (i) Froude's Number (ii) Weber's Number (b) Using Buckingham π theorem, show that the discharge Q consumed by an oil ring is given by:

=

dN

w

dNNdNdQ

2322

3,,ρρ

σ

ρ

µφ

where d = internal diameter of the ring N is rotational speed. ρ is density, σ is surface tension, µ is viscosity, w is specific weight of oil.

UNIT - II

3. (a). Describe various components of a Hydro-Power plant with neat sketch. (b). A Pelton wheel is to be designed for the following specification: Shaft power = II772 Kw, Head = 380 m. Speed = 750 r.p.m., Overall efficiency = 86% Jet diameter is not to exceed one-sixth of the wheel diameter. Determine: (i) The Wheel Diameter (ii) Diameter of Jet (iii) No. of Jets required, Take Kv1 = 0.985 and KU1= 0.45. 4. (a) What is Specific Speed of a Turbine ? Derive the expression for the Specific Speed of a Turbine. (b) A Franci's turbine has inner diameter of wheel 0.6 times the outer diameter. Water enters the turbine at 12° to the tangent of the wheel. Blade angles are radial at the inlet. The velocity of flow is constant through the turbine and is 2.5 m/sec. The speed of the runner is 280 rpm. The width of the wheel at the inlet is 10 cm. 5% of area of flow is blocked by the runner blade. Determine: (i). Inner and Outer diameter of Wheel (Ii). Working Head.

UNIT-III

5. (a). Compare Centrifugal and Reciprocating Pumps. (b). A single acting reciprocating pump has a plunger diameter of 250 mm and stroke of 45O mm and it is driven with S.H.M. at 60 r.p.m. The length and diameter of delivery pipe is 60 m and 1OO mm respectively. Determine the power saved in overcoming friction in the delivery pipe by fitting an air vessel on the delivery side of the pump. Assume friction factor = 0.01. 6. (a). A double acting reciprocating pump, running at 40 r.p.m. is discharging 1.0 m

3 of water/minutes. The pump has

a stroke of 400 mm. The diameter of the Piston is 200 mm. The delivery and suction heads are 20 m and 5 m respective$. Find the slip of pump and the power required to drive the pump. 8 (b). A Centrifugal Pump Works against a head of 8 m and pumps 1500 litre/sec. It rotates at 180 r.p.m. Diameter of the impeller at the outlet is 1.3 m and the area at the outer periphery is O.3 m

2. Assume the ratio of the external to the

internal diameter to be 2 and the vane angle at the outlet 3O°, find: (i). Hydraulic Efficiency (ii). Power Required (iii). Minimum Starting Speed.

UNIT-IV

7. {a) Explain Torque Converter with neat sketch. (bl Explain various methods to prevent Cavitation. (c) The diameter of the ram of a hydraulic accumulator is 40 cm which is working under a total weight of 50 tones. Frictional resistance against the movement of the ram is 5% of the total weight. Calculate the intensity of pressure of water, when (a). Ram moves down with Uniform Velocity (b). ram moves up with Uniform Velocity 8. (a). The efficiency of a Hydraulic Crane, which is supplying water under a pressure of 7O N/cm

2 for lifting a weight

through a height of 10 m is 60%. If the diameter of the ram is 150 mm and velocity ratio is 6, find:- (i). the weight lifted by the crane (ii). the volume of water required in liters to lift the weight. (b). Write short note on Submersible Pump.

Fluid machines (ME-303E) Time: Three Hours Maximum Marks: 1OO Note: - Attempt any FIVE questions, at least ONE question from each part. All questions carry equal marks.

PART - A 1. (a) Explain what do you understand by the terms Newtonian and non-Newtonian fluids. Give examples of two fluids in each category. (5) (bl A ship 63 m long and 9 m broad has a displacement of 16000 KN- When a weight of 2OO KN is moved across the deck through a distance of 5.4 m, the ship is tilted through 5°. The second moment of area of the water line section about its fore and aft axis is 75 percent of that of circumscribing rectangle, and centre of buoyancy is 2.1 m below the water line. Determine: (i) Metacentric Height, and (ii). The position of centre of gravity of ship. (15) 2. (al Distinguish between path lines, stream lines and streak lines. (5) (bl For a three-dimensional flow the velocity distribution is given by u = -x, v = 3 - y and w = 3 - z. What is the equation of a stream line passing through (l , 2, 2) ? (15)

PART - B 3. (a) What is the difference between a venturimeter and an orifice meter? (5) (b) A vertical venturimeter carries a liquid of relative density O.8 and has inlet and throat diameters of 15O mm and 75 mm respectively. The pressure connection at the throat is 150 mm above that at the inlet. If the actual rate of flow is 4O litres/sec and the Cd = 0.96, calculate the pressure differencebetweeninletarrdthroatinN/m2. (15) 4. A long circular cylinder lies in an air stream having a velocity of 6O m/sec. In addition there is a flow around the cylinder with circulation of 4OO m

2/sec (clockwise). Neglecting all viscous and compressibility

effects determine the (i). maximum velocity due to air stream alone' (ii). velocity at the cylinder surface due to the circulation alone, (iii). Maximum velocity {iv). location of stagnation points. (v). maximum and minimum pressures. (vi). lift force per unit length of cylinder. The density of air is 1.22 Kg/m

3 and the cylinder diameter is 1.2 m. (20)

PART - C

5. (a). What is the difference between a laminar flow and a turbulent flow ? (5) (b). An oil dash pot consists of a piston moving in a cylinder having oil. This arrangement is used to damp out the vibrations. The piston falls with uniform speed and covers 5O mm in 100 seconds. If an additional weight of 1.334 N is placed on the top of the piston, if falls through 50 mm in 86 seconds with uniform speed. The diameter of piston is 75 mm and its length is 100 mm. The clearance between the piston and the cylinder is I.2 mm which is uniform throughout. Find the viscosity of the oil. (15) 6. The pipes of diameter D and d of equal length L are considered. If the pipes are arranged in parallel, the loss of head for either pipe for a flow of Q is h. If the pipes are arranged in series and the same quantity e flows through them, the loss of head is H. lf d = 0.5 D, find the percentage of total flow through each pipe when placed in parallel and the ratio of H to h neglecting minor losses and assuming friction coefficient to be constant. (20)

PART - D 7. How are the thickness of boundary layer, shear stress and the drag force along the flat plate determined by Von-Karman momentum equation? (20) 8. (a) Derive an expression for the velocity distribution for turbulent flow in smooth pipes. (8) (b) The velocity of flow in a badly corroded 7.5 cm pipe is found to increase 2O percent as a pitot tube is moved from a point 1 cm from the wall to a point 2 cm from a wall. Estimate the height of roughness. (12)

Heat Transfer (ME-3O5E) Time: Three Hours Maximum Marks: 100 Note: - Attempt any FIVE questions. l. (a). Derive the General Heat conduction Equation in spherical co-ordinate system. (10) (b) A composite wall is made of 3 layers of materials. The central layer is made of brick (K = O.72 W/mC) and has a thickness of 20 cm. The outer layers, on either side of the brick layer, are each 3 cm thick and are made of plaster (K = O.22 W/mc). The exposed faces of plaster are at 45°C and 15°C respectively. Find the steady-state heat flux and interfacial temperatures. (10) 2. (a). Obtain the temperature variation in a spherical shell having uniform internal heat generation. Assume radial conduction and convective boundary condition at the inner and outer surfaces of the shell. (15) (b). Explain the concept of critical insulation radius. Derive an expression for the same for a cylindrical Surface. (5) 3. (a). A straight fin of uniform circular cross-section of area O.2 cm

2, length 15 cm and thermal

Conductivity 200 W/mc has its two ends maintained at 100°C and 50°C respectively. The ambient air is at 3O°C and the convective heat transfer coefficient is 15 W/

m2c. Determine the total heat

loss from the fin to the ambient air. What is the minimum temperature of the fin and where does it occur? (16) (b). Define the terms. Fin Effectiveness and Fin Efficiency. (4) 4. (a) why is it necessary to introduce dimensionless numbers in the study of Heat Transfer by convection? (6) (b) Air with a velocity of 3 m/s flows parallel to a flat plate 30 cm in length. The plate is maintained at 4OO K and the incoming air is at 300 K and 1 atm pr. Determine the heat flux at the trailing edge of the plate. Also find the total heat transferred to air. Take ρ = O.995 Kg/m

3 , v = 20.82 x 10

-6 m

2 /s.

K = O.O3 W/mK , Pr = O.7 for air. (14) 5. (a). Explain the concept of Reynolds Analogy. (10) (b). Derive the relationship between Nusselt number, Prandtl Number and Grashoff number for

natural convection from a vertical Plate. (10) t

6- (a). what are the limitations of the LMTD method of Heat Exchanger Design ? How can these be overcome by using E-NTU relationships? (10) (b). Hot gases having Cp = 2500 J/kg°C, T = 600°C flow through a parallel flow heat exchanger at the rate of 3O kg/s. The gases are Cooled by a cold stream of coolant which enters at 1O0°C @ 3O kg/s, with a specific heat of 4200 J/kg°c. The total heat transfer area is 50 cm

2 and the overall

heat transfer coefficient is 1500 w /m2c

. Calculate the exit temperatures of both the hot and cold streams. (10) 7 - (a). Explain the concept of shape Factors used in calculating heat exchanger by radiation. (8) (bl Derive the relationship between Total Emissive Power and Intensity of Emitted Radiation. (12) 8. Write short notes on any TWO: (a) Integral Momentum Equation (b) Kirchoffs Law of Radiation (c) Classification of Heat Exchanger. (20)

Heat Transfer (ME-3O5E) Time : Three Hours Maximum Marks : 100 Note :- Attempt any FIVE questions. 1. (a). Derive the heat conduction equation for an anisotropic medium having three dimensional heat conduction along with internal heat generation. (12) (b). A spherical shell of inner radius 5 cm and outer radius 10 cm has its inner and outer surfaces maintained at 10O°C and 30°C respectively. Obtain the steady-state temperature variation in the shell if the conduction is radial and there are no heat sources or sinks. Also find the steady-state heat flux at the inner and outer surfaces. Take K = 105 W/mK. (8) 2. (a) Obtain from first principles an expression for the steady-state heat transfer rate from a fin of circular cross-section rosing heat by convection from its tip. State the assumptions made. (12) (b). An aluminium (K = 2OO W/mK) fin is in the form of a plate. 3 mm thick and 150 mm long. The ambient air is at 30°C with a heat transfer coefficient of 67 W /

m2K. How much heat is dissipated

per meter width if the fin base is at 100°C? 3. A double pipe heat exchanger is to be used to cool water from 22°C to 6°C using brine entering at 2°C and leaving at 3°C. The overall heat transfer coefficient is 500 W/m

2C.

Calculate the heat transfer area for a design heat load of 10 kW for both parallel-flow and counter flow arrangements. (20) tip. State the assumptions made. 4. (a). Define the terms 'Total Emissive Power' and Intensity of Radiation. Derive a relation between them, clearly stating the assumptions made. (15) (b). The filament of an electric bulb is maintained at a temperature of 2900 K and may be realized as a black body. Determine the wavelength at which the monochromatic emissive power is maximum, for radiation emitted by the filament. (5) 5. (a). Derive the relation Nµ = CPr

mRc

n for forced convection heat transfer using dimensional

analysis. (8) (bl Define Grashoff Number. Explain its significance. Differentiate between hydrodynamic and thermal boundary layers. (12) 6. Air with a free stream temperature of 10°C and free stream velocity of 15 m/s flows parallel to a flat plate, 1.5 m long which is held at a temperature of 90°C. Calculate the heat transfer rate from one side of the plate. What is the drag force experienced by the plate? Use the following property values: At 50°C. Density of air, ρ = 1.088 kg/m

3, v = 18.65 x 10

-6 m

2/s

K = 0.0281 W/m°C, Pr = 0.703. (20)

7. A cylindrical wire of 6 mm diameter if heated by a current passing through it. 100 W of heat is dissipated per meter length of the wire. The wire is covered by an insulation of outer diameter 12 mm. The material of the insulation has a thermal conductivity of 0.4 w/m°C. The outer surface of the insulation is exposed to a gas at 3O°C. The temperature of the outer surface of the insulation is measured to be 6O°C. Determine the temperature variation in the wire and the maximum temperature in the wire. (20) Take K = 15 W/m°C for the wire material. 8. Write short notes on any TWO of the following topics: (a) Critical Insulation Radius (b) Reynolds Analogy

(c) Shape Factor. (2xI0=20)

Industrial Engineering (ME-3O7E) Time: Three Hours Maximum Marks: 100 Note: - Attempt any FIVE questions. 1. (a). What is "Method Study" ? What are its objectives? How will you determine the areas that require method study application in an industry ? (11) (b). Discuss the principles of motion economy. How these are related to "Design of Tools and Equipment”? (9) 2. (a). Define Standard Time of an Operation. List its various uses. Discuss the various allowances which are taken into account while calculating Standard Time. (11) (b). Distinguish between standardization and simplification. Outline the different techniques of work measurement. (9) 3. (a). What are the objectives of an Organization ? Discuss the importance and principles of Organization. (12) (b). Compare line and staff organizations. Discuss their suitability. (8) 4. (a). Discuss briefly the functions of Production Planning and Control. Differentiate between loading and scheduling. (11) (b). Compare and discuss the functioning of centralized and decentralized dispatching in a toy manufacturing plant. (9) 5. (a) What is the importance of Sales Forecasting ? Explain the following: (i) Method of Least Squares (ii) Moving Average Method (10) (b) A firm producing paints, plans to use simple exponential smoothing to forecast weekly demand and has collected data for 15 weeks as shown below:

Week No.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Actual Demand

30 35 20 15 10 10 15 20 30 35 30 10 12 20 30

Using the 15 week moving average, determine the exponential smoothing forecast for the 16th week. (10) 6. (a). What are the objectives of Inventory Control ? What type of cost has to be considered in controlling inventory. (8) (b) What is Economic Lot Size? Develop for economic lot size when there is zero lead time. (12)

7. (a). "Value engineering is a powerful cost reduction tool". Justify. (10) (b). Define standardization specialization, simplification and diversification. Discuss the factors which affect simplification and diversification. (10) 8. Write notes on any THREE of the following:- (i) Wages and Incentives (ii) Supply Chain Management (iii) JIT (iv) MRP. (20)

Industrial Engineering (ME-3O7 E) Time: Three Hours Maximum Marks: 1OO Note: - Attempt any FIVE questions. 1. (a) Discuss the contribution of I{.L. Gantt and Frank B. Gilbreth made in management thoughts. (b) Discuss briefly the functions of Industrial Engineering and the role it can play in raising industrial productivity. (10+10) 2. (a) Discuss the method of time series analysis for sales forecasting. Give its disadvantages and disadvantages. (8) (b) A manufacturer of musical instruments finds that the semi annual sales of one of his products during the past four years have been as follows:

Years Semi annual period Sales 10000 units

1 5.5 1

2 4.2

1 5.1 2

2 3.9

1 4.8 3

2 3.5

1 4.4 4

2 3.2

Using time series analysis of this data obtain a seasonally adjusted forecast for semi annual sales during the fifth and six years. (12) 3. (a). Explain the various costs associated with inventory. (5) (b). A manufacturer requires rivets at an approximately constant rate of 2500 kgs per year. The cost of rivets is Rs. 40 per kg. The company's purchase manager estimates that the carrying cost of inventory 10% per year. Procurement cost is Rs. 20O per order:- (i). How frequently should orders for rivets be placed and what quantities should be ordered? Also calculate total cost of inventory. (ii). If the ordering cost is Rs. 4To per order and 15% is the carrying cost, how would the optimal policy change ? How much is the loss per years because of imperfect cost information? (15) 4. (a). Differentiate between control charts for attributes and control charts for variables. (7) (b). Differentiate between sampling inspection and IOO% inspection. (7) (c). Explain the operating characteristic curve. (6) 5. (a). What is meant by break-even analysis? What are the assumptions of break-even analysis? (b). The data of an industrial unit is as follows: (8+12) Fixed cost of assets= Rs. 24OOO Variable cost= Rs. 64000 Sales price/unit= Rs. 10 Contribution for 8000 units = Rs. 16000 (i). What is the sales volume for break even? (ii). What should be selling price if the break even quantity is to be brought down to I0000 units? 6. (a). Explain the function of production control department. (8) (b). What do you mean by dispatching? Give its functions and explain the dispatching procedure for any industry . (12) 7. (a). Explain the different methods of allocating overhead expenses. (10) (b). Explain the methods of determining depreciation costs. (10) 8. Write short notes on any FOUR: (a). Break even analysis (b). ABC Analysis of inventory control (c). Crushing of Network (d). Floats and Slacks (e). PERT and CPM. (4x5=20)

Industrial Engineering (Paper: ME-3O7E) Time: Three Hours Maximum Marks: l00 Note: - Attempt any FIVE questions. 1. (a). Define Industrial Engineering and discuss its functions. (10) (b) What is the importance of plant Location? Discuss in detail the factors which should be

considered in selecting a site for an industrial plant. (10) 2. (a) Enlist the methods of sales forecasting. Discuss the method of time series analysis for sales forecasting. Give its advantages and disadvantages. (8) (b) A wholesale distributor finds that the number of one of his products sold during post seven years is related to an economic index and the data is as follows:

Years

Economic Index

Sales (1OOO units)

1 87 13.1

2 122 17.4

3 119 15.3

4 130 22.8

5 93 11.6

6 124 19.2

7 115 14.7

(i) Determine the equation of the least squares line that gives the relationship between the economic index and sales. (ii). Determine the coefficient of correlation between the two. (12) 3. (a) Discuss the cost factors associated with inventory control. (8) (b) A hardware store produces and sells hardware items. Following information is available: - (12) Expected annual sales = 8000 units Ordering cost = Rs. 18O per order Holding cost = 10% of average inventory value. The items can be purchased in the following schedule:

Lot Size

Unit Price Rs.

1 -999

22.00 1000 - 1499

20.00

1500 - 1999

19.00 2000 and above

18.50

You are required to determine the order size. 4. (a) The balls for ball bearings are inspected by attributes. A sample of 100 inspected daily Continuously ten days. The samples are taken randomly from the daily production of 1000 balls. Compute the control limits for (i). P-chart (ii). np chart. (10) The observations are as follows:

Date 1 2 3 4 5 6 7 8 9 10

Rejection 18 12 6 15 2 20 14 10 8 6

(b). Write notes on: (i). Consumer's risk and Producer's risk (ii). Sequential sampling plan. (5x2=10) 5. (a). Discuss the elements of Product development and design. (10) (b) Discuss the economics of introduction of a new design in place of present production. (10)

6. (a). Define Production, Planning and control. Enlist its objectives and discuss under different heads. (8) (b). What do you mean by dispatching? Give its functions and explain the dispatching procedure for any industry. (12) 7. (a) Explain the following : (i). Prime Cost (ii). Costing v/s Estimating. (3x2=6) (b) Draw the network of the project with the following situation: (i). P is prerequisite of S (ii). Q is prerequisite of S and T (iii) R is prerequisite of T (iv). S and T are prerequisite of V. (8) (c) Define stock and updating. Explain the various types of floats. (6) 8. Write notes on any FOUR of the following: (i). Effect of Industrial revolution and World War-II on Manufacturing Techniques. (ii). ABC Analysis (iii). Types of Production (iv). Purpose and types of depreciation.

(v). Break even analysis (5 x 4 =20) |

Industrial Engineering (ME.3O7E) Time: Three Hours Maximum Marks: 100 Note: - Attempt any FIVE questions. 1 (a) Trace out the evolution of factory system in its modern form. (10) (b) Describe different principles of plant layout. (10) 2. The sale of a product during last five years is tabulated below calculate: (i). The sale in the year 2003 and 2004. (ii) Coefficient of correlation (iii). Standard error of estimate and give its significance. Assume a linear forecaster. (20)

Year 1998 1999 2000 2001 2002 Sale 40 80 60 100 140

3. Explain factors affecting inventory levels. (a). Define and describe in brief: (i). mean (ii). median (iii) Mode (iv). Range (10) (v). Standard deviation (b). Describe control charts for variable. (10) 5. Explain types of production in detail. (20) 6. (a). Explain in brief various methods of allocating overhead expenses. (10) (b). The fixed costs for the year 2OO2-O3 are Rs. 80,000. The estimated sales for the period are valued at Rs. 2,OO,000. The variable cost per unit for the single product made is Rs. 4. If each unit sells at Rs. 20, and the number of units involved coincides with the expected volume of output, construct the breakeven chart. Determine breakeven point above how much units, the company should produce in order to seek profit. (10) 7. (a). Define (i). Forward and backward pass (ii). Slack (iii). Float (6) (b). Differentiate CPM and PERT. (6) (c) An old car was purchased for Rs. 80,000. Its life was estimated as ten years and the scrap value as Rs. 30,000. Using the reducing balances method, calculate the % depreciation rate. Estimate the depreciation fund at the end of two years. (8) 8. Write short notes on any THREE of the following: (2O) (a). Fixed position layout (b). OC Curve (c). Scheduling (d). AOQ

Industrial Engineering (ME-3O7E) Time: Three Hours Maximum Marks: 75 Note: - Attempt any five questions. 1. (a). Define 'Method study'. Discuss the role of method engineer in improving the industrial productivity. Explain the various steps required to conduct method study. (3+5=8) (b). what do you understand by 'work Measurement’? Discuss the procedure to establish standard time for completion of a job. (7) 2. (a) Discuss the primary fundamentals of an organizations. (7) (b) Compare line and staff type of organizations. Discuss their suitability. (8) 3. (a). Discuss briefly the functions planning and control. (8) (b). Discuss the role of product development in order to fight market competition. (7) 4. Determine the quarterly sales for the fifth year by suitable forecasting technique for the data given below (data of 4 years). Also make adjustment for expected seasonal variations:-

Year Quarter Sales (1000 units)

1 1.0

2 3.0

3 4.0 1

4 2.0

1 1.0

2 3.0

3 5.0 2

4 3.0

1 2.0

2 4.0

3 6.0 3

4 3.0

1 2.0

2 5.0

3 7.0 4

4 4.0

From this data, determine the equation of the trend line. With this equation, calculate the trend values of quarterly sales for the coming year i.e. 5th year and adjust these values to provide for expected seasonal variations. (5 + 1 + 6 + 3 = 15) 5. Describe:- (a) (i). Functions of Inventory (ii) Types of inventory (3+2=5) (b) The purchase manager of a distillery company is considering three sources of supply for oak barrels. The first supplier offers any quantity of barrel at Rs. 150 each. The second supplier offers barrels in lots of l50 or more at Rs.l25 per barrel a year at a constant rate. The carrying costs are 4O or more at Rs.l00 each. The distillery uses 1500 barrels a year at constant rate. Carrying costs are 40 percent and it costs the purchasing agent Rs. 400 to place an order. Calculate the total annual cost for the order placed to the probable supplier and find out the supplier to whom orders should be placed. (5+3+2=10) 6. (a). Define value engineering. What are its benefits? (5) (b) "Value engineering is a powerful cost reduction tool". Justify. (10) 7. (a). What is the importance of ergonomics? Discuss man-machine work Place system. (8) (b). What is supply chain management? Give objectives and applications. (7) 8. Write short notes on any THREE of the followings:- (i). Elements of JTF (ii). Wages and Incentives (iii). MRP System (iv). Time Management (v). Economic Indicators method of sales Forecasting. (5 x 3 = 15)

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