Friday, 16 August 2019

SPPU Question Papers for Turbo Machines Unit V: Centrifugal Pump


SPPU Question Papers

Class: TE Mechanical (2015 Course)

Subject: Turbo Machines

Unit V: Centrifugal Pump


May 2015
Q. 5. a) Define specific speed of a hydrodynamic pump. Derive expression for the same. [8 marks]
Q. 5. b) A centrifugal pump running at 800 rpm is working against a head of 20.2 m. The external diameter of impeller is 480 mm and its width is 60 mm. If the vane angle at exit is 40° and manometric efficiency is 70% find: [10 marks]
i) Flow velocity at outlet
ii) Absolute velocity of water leaving the vane
iii) Angle made by the absolute velocity at outlet with direction of motion at the outlet
iv) Discharge
v) Specific speed
                                                (OR)
Q. 6. a) Explain effect of blade angle (outlet) on discharge in centrifugal pump. [6 marks]
Q. 6. b) A three stage centrifugal pump has impeller diameter 400 mm and 20 mm wide. The vane angle at outlet is 45° and the area occupied by the thickness of vane is 8% of total area. Inner diameter of impeller is half of outer diameter and inlet width is twice that of outlet. The pump discharge is 3.6 m3 per minute & runs at 920 rpm. Flow velocity is constant from inlet to outlet. Find: [12 marks]
i) Power output of pump in kW
ii) Total manometric head
iii) Specific speed
iv) Shaft power
v) Vane angle at inlet
Take mechanical efficiency = 88%, Manometric efficiency = 77%
December 2015
Q. 5. a) Explain the Priming and Cavitation of Centrifugal pump? [8 marks]
Q. 5. b) A centrifugal pump having outer diameter equal to two times the inner diameter and running at l000 rpm work against total head of 40 m. The velocity of flow through the runner is constant and equal to 2.5 m/s. The vanes are set back at an angle of 40° at outlet. If the outer diameter of the impeller is 50 cm and width at outlet is 5 cm, Determine:
i) Vane angle at inlet
ii) Work done by impeller on water per second
iii) Manometric efficiency.                                 [10 marks]
                                                (OR)
Q. 6. a) Derive an expression of minimum starting speed of centrifugal pump? [8 marks]
Q. 6. b) A centrifugal pump running at 900 rpm is working against a head 20 m. The external diameter of the impeller is 460 mm and outlet width is 50 mm. If the vane angles at outlet is 40° and manometric efficiency is 70 %, determine: [10 marks]
i) Flow velocity at outlet
ii) Absolute velocity of water leaving the vane
iii) Angle made by the absolute at outlet with the direction of motion at outlet
iv) Rate of flow through the pump
May 2016
Q. 5. a) Define the maximum suction lift. State the expression to calculate it. What factors affect its values? [6 marks]
Q. 5. b) Following data relates to centrifugal pump: Eye and rim diameter = l0 cm and 20 cm respectively, outer width = l.25 cm, vane angle at outer rim = 25°, speed = 3000 rpm, constant flow velocity = 3 m/s, manometric efficiency = 78% and overall efficiency = 72%. Determine: [12 marks]
i) Inlet vane angle
ii) Discharge
iii) Manometric head and
iv) Shaft Power
v) Mechanical efficiency
                                                (OR)
Q. 6. a) Derive an expression for rise in pressure through impeller of a centrifugal pump. [6 marks]
Q. 6. b) Power input to centrifugal pump is 50 kW at the shaft while running the pump at l440 rpm. The impeller tip diameter is 30 cm and the blade width at the tip is l.5 cm. The water flow rate is ll0 lit/s. The vacuum gauge reading at the suction flange is – 20 cm of mercury and at the delivery flange the pressure gauge reading is 370 kPa. The blade outlet angle is 65°. Calculate: [12 marks]
i) Theoretical head
ii) Ideal head
iii) Hydraulic efficiency
iv) Mechanical efficiency
v) Overall efficiency
vi) Specific speed of the pump
Assume radial entry and constant flow velocity.
December 2016
Q. 5. a) Derive an expression for the minimum speed for starting a centrifugal pump. [6 marks]
Q. 5. b) Explain different types of casing used in centrifugal pump. [4 marks]
Q. 5. c) A centrifugal pump delivers l800 lit/min against a total head of 20 m. Its speed is l450 rpm. Inner & outer diameters of impeller are l20 mm & 240 mm respectively and the diameter of suction & delivery pipes are both l00 mm. Determine the blade angles of the impeller vane at inlet & outlet respectively if the water enters radially. Assume manometric efficiency is 0.90. [8 marks]
                                                (OR)
Q. 6. a) Derive an expression of specific speed of centrifugal pump? [6 marks]
Q. 6. b) Write a short note on Priming of a centrifugal pump. [4 marks]
Q. 6. c) A three stage centrifugal pump has impellers 50 cm diameter and 3 cm width at outlet. The thickness of the blades has reduced the circumferential area by l0%. The manometric efficiency is 90%, overall efficiency is 80%, whirl velocity at outlet is 20 m/s, velocity of flow at outlet is 2.25 m/s and speed is l000 rpm. Calculate: [8 marks]
i) Head generated
ii) Discharge
iii) Exit vane angle
iv) Shaft power
May 2017
Q. 5. a) Explain the different types of casing used for centrifugal pump. [6 marks]
Q. 5. b) Derive an expression of minimum starting speed of centrifugal pump. [6 marks]
Q. 5. c) Discuss the influence of blade angle on the performance of centrifugal pump. [6 marks]
                                                (OR)
Q. 6. a) An impeller of inside diameter l5 cm and outside diameter 40 cm having a width at inlet 4 cm and width at outlet 2 cm is running at l440 rpm. The inlet and outlet blade angles are 25° and l5° respectively. The whirl velocity at inlet is zero. Determine:
i) Flow rate in LPM
ii) Power of impeller
iii) Absolute velocity at outlet.                       [10 marks]
Q. 6. b) Write a short note on Priming & Cavitation of Centrifugal pump. [8 marks]
December 2017 (2012 Pattern)
Q. 5. a) Explain manometric head, manometric efficiency, mechanical efficiency and overall efficiency of a centrifugal pump. [8 marks]
Q. 5. b) A three stage centrifugal pump has impellers 30 cm diameter and l.5 cm width at outlet. The velocity of water at inlet is radial, the vanes are curved back at an angle of 30º to the tangent at outlet and occupy 8% of the outlet area. While running at l000 rpm, the pump delivers 40 lit/sec with 85% manometric efficiency and 75% overall efficiency. Calculate the head generated by the pump and the input power. [10 marks]
                                                (OR)
Q. 6. a) A centrifugal pump with a discharge l565 lit/sec against a mean lift of 6.l m when the impeller rotates at 200 rpm. The impeller diameter is l2 cm and area of the outlet periphery is 6450 cm2. If the vanes are set back at an angle of 26º at the outlet, find: [12 marks]
(i) Hydraulic efficiency
(ii) Power required to drive the pump
If the ratio of external to internal diameter is 2, find the maximum speed to start pumping.
Q. 6. b) What is multi staging in a centrifugal pump? Describe the methods used for multi staging. [6 marks]
December 2017 (2015 Pattern)
Q. 7. a) Explain with neat sketch any two types of impellers used in centrifugal pump. [6 marks]
Q. 7. b) The impeller of the centrifugal pump has an outer diameter of 250 mm and an effective area of the 0.0l7 m2. The blades are bent backward so that the direction of outlet relative velocity makes an angle of l48 deg. with the tangent drawn in the direction of impeller rotation. The diameters of suction and delivery pipes are l50 mm and l00 mm respectively. The pump delivers 0.03l m3/s at l450 rpm when suction and delivery lifts are 4.6 m and l8 m respectively. The head losses in the suction and delivery pipes are 2 m and 2.9 m respectively. The motor driving the pump delivers l0 kW. Assuming that water enters the pump without shock and whirl, determine (i) Manometric efficiency and (ii) The overall Efficiency of the pump. [10 marks]
                                                (OR)
Q. 8. a) Discuss the significance of the effect of outlet blade angle on performance of centrifugal pump. [7 marks]
Q. 8. b) Three stage centrifugal pump has impellers 40 cm diameter and 2 cm wide at outlet. The vanes are curved back at the outlet at 45 deg. and reduce the circumferential area by l0%. Its Manometric efficiency is 90% and overall efficiency is 80%. Determine the head generated by the pump when running at l000 rpm delivering 50 LPS. What should be the shaft power and specific speed? [6 marks]
Q. 8. c) Tests on a pump model indicate a Thomas cavitation factor is 0.l. A homologous unit is installed at a location where atmospheric pressure is 0.9l bar and vapour pressure as 0.035 bar (abs) and is to pump water against a head of 25 m. What is the maximum permissible suction lift / head? Neglect frictional losses in the suction pipe. [3 marks]
May 2018
Q. 7. a) What do you mean by cavitation? What are its effects? How we can overcome the cavitation effect in centrifugal pump. Derive relation for maximum suction lift of a centrifugal pump. [8 marks]
Q. 7. b) The outer diameter of an impeller of a Centrifugal pump is 400 mm and outlet width is 50 mm. The pump is running at 800 rpm and is working against a total head of l5 m. The vanes angle at outlet is 40° and manometric efficiency is 75%. Determine: [10 marks]
i) Velocity of flow at outlet,
ii) Velocity of water leaving the vane,
iii) Angle made by the absolute velocity at outlet with the direction of motion at outlet,
iv) Discharge
                                                (OR)
Q. 8. a) Show that rise in pressure in impeller of a centrifugal pump is expressed as:
Where, all symbols have their usual meanings. [6 marks]
Q. 8. b) A centrifugal pump impeller has an external diameter of 450 mm and discharge area of 0.ll m2. The vanes are bent backwards at an angle of 35° at outlet. The diameter of the suction and delivery pipes is 300 mm and 230 mm respectively. Pressure gauge at points on suction and delivery pipes close to the pump and each gauge l.50 m above the level of supply sump showed gauge pressure head of 3.70 m below and l9 m above atmospheric head respectively. When the pump was delivering 200 lit/sec of water at 800 rpm. It requires 70 kW to drive the pump. Find the loss of head in the suction pipe, manometric efficiency and overall efficiency of the pump. [12 marks]
December 2018
Q. 7. a) Define maximum suction lift. State the expression to calculate it. What factors affect its values? [6 marks]
Q. 7. b) The effective inlet and outlet radial area of flow of a centrifugal pump are respectively 645 cm2 and 580 cm2, the water entering with the radial velocity of 5.50 m/s. The impeller vanes are set back at an angle of 45º to the tangent at outlet. The outer peripheral velocity is 27.50 m/s and manometric efficiency is 80%. Assuming the losses of head due to friction are i) between suction flange and impeller inlet = 3.05 m, ii) Through impeller = 4.80 m, iii) between guide vanes and delivery flange = 1.52 m and that at the outlet velocity from the guides is two-fifths of the inlet velocity to them. Find: 1) The loss of head due to friction in guides vanes. 2) The guide vane efficiency. [12 marks]
                                                (OR)
Q. 8. a) What is cavitation? Explain the phenomenon of cavitation. State some methods of eliminating or reducing cavitation. [6 marks]
Q. 8. b) Show that rise in the pressure in the impeller of a centrifugal pump is given by:
A centrifugal pump has an impeller of internal diameter 125 mm and exit diameter 250 mm and rotates at 1800 rpm. The absolute velocity of water at inlet is radial and the vanes are bent back at an angle of 30º to the tangent at discharge. The breadth of the impeller at inlet and outlet are 12.5 mm and 6.25 mm respectively. Determine the rise in pressure head as water passes through the impeller neglecting losses. The discharge of the pump is 8.5 lit/sec. [12 marks]
May 2019
Q. 7. a) Explain the effect of blade angle (outlet) on discharge in centrifugal pump. [4 marks]
Q. 7. b) Explain NPSH and cavitation with respect to centrifugal pump. [4 marks]
Q. 7. c) A three stage centrifugal pump has impeller diameter at outlet 400 mm and 20 mm wide. The vane angle at outlet is 45o and the area occupied by the thickness of vane is 8% of total area. Inner diameter of impeller is half of outer diameter and inlet width is twice as that of outlet. The pump discharges 3.6 m3 per minute and runs at 920 rpm. Flow velocity is constant from inlet to outlet. Find:
i) Power output of pump in kW,
ii) Total manometric head,
iii) Specific speed,
iv) Shaft Power,
v) Vane angle at outlet.
Take mechanical efficiency = 88%, Manometric efficiency = 77%. [10 marks]
                                                (OR)
Q. 8. a) A centrifugal pump at 900 rpm has an impeller diameter of 500 mm and eye diameter of 300 mm. The blade angle at outlet is 35o with tangent. Determine assuming zero whirl at inlet, the inlet blade angle, absolute velocity at outlet and its direction and the manometric head. The velocity of flow is constant throughout and is 3 m/sec. [10 marks]
Q. 8. b) What is the significance of specific speed? Derive the relation for the same for centrifugal pump. [4 marks]
Q. 8. c) Explain different types of casing used in centrifugal pumps. [4 marks]
(Next Paper will be Dec. 2019)

SPPU Question Papers for Turbo Machines Unit IV: Steam Turbines



SPPU Question Papers

Class: TE Mechanical (2015 Course)

Subject: Turbo Machines

Unit IV: Steam Turbines


March 2015
Q. 5. a) Define Nozzle and discuss effect of friction through convergent-divergent nozzle with the help of T-S diagram. [4 marks]
Q. 5. b) For certain stage of a 50% reaction axial steam turbine the mean rotor diameter is l.35 m and speed ratio is 0.69. The rotor speed is 3000 rpm and the outlet blade angle is 55°. Calculate:                [6 marks]
i) Inlet blade angle
ii) Blade efficiency and
iii) Maximum blade efficiency. All the angles are measured with respect to axial direction.
                                                (OR)
Q. 6. a) What is compounding? Explain need of compounding? State methods of compounding? [4 marks]
Q. 6. b) Explain: [6 marks]
i) Blade efficiency
ii) Stage efficiency
iii) Nozzle efficiency
May 2015
Q. 3. b) Steam issues from the nozzle at an angle of 22° with a velocity of 430 m/s. The friction factor is 0.9. For a stage turbine designed for maximum efficiency, find: [6 marks]
i) The blade velocity
ii) Moving blade angles for equiangular blades
iii) Power developed
                                                (OR)
Q. 4. a) Prove that for Parson’s reaction turbine moving & fixed blades are symmetrical in shape. [6 marks]
December 2015
Q. 3. b) Derive an expression for maximum utilization factor (Diagram efficiency) of Parson’s reaction turbine in terms nozzle angle? [6 marks]
                                                (OR)
Q. 4. b) Explain with neat sketch throttle governing of steam turbines? [4 marks]
March 2016
Q. 5. a) Steam issues from the nozzles of an impulse steam turbine with a velocity of 1200 m/s. The nozzle angle is 20°, the mean blade speed is 400 m/s and the inlet and outlet angles of moving blades are equal. The mass of steam flowing through the turbine is 900 kg/hr. Assume friction factor is 0.8.
      Determine: [8 marks]
                        i.            The tangential forces on the blades.
                      ii.            Power developed.
                    iii.            The blade efficiency.
Q. 5. b) Explain the need of compounding in steam turbines. [2 marks]
                                                (OR)
Q. 6. a) In Parson’s reaction turbine running at 500 rpm with 50% reaction turbine develops 75 kW per kg of steam. The exit angle of the blades is 20° and steam velocity is 1.5 times the blade velocity.
Determine: [6 marks]
i.                    Blade velocity
ii.                  Inlet angle of moving blades
Q. 6. b) Explain the method of nozzle control governing. [4 marks]
May 2016
Q. 3. b) In a De Laval turbine, steam is issued from the nozzle with a velocity of l500 m/s whereas the mean blade velocity is 500 m/s. The nozzle angle is 20° and the inlet and outlet angles of blades are equal. The mass of the steam flowing through the turbine is at the rate of l200 kg/hr. Assuming blade velocity coefficient k = 0.8, draw the velocity diagram and determine: [6 marks]
i) The blade angles.
ii) The power developed by turbine.
iii) The blade efficiency.
                                                (OR)
Q. 4. b) A Parsons turbine runs at 400 rpm with 50% reaction and it develops 75 kW of power per unit mass of steam flow per second. The exit angle of the blades is 20° and the steam velocity is l.4 times the blade velocity. Find:  [6 marks]
i) Blade velocity and
ii) Inlet angle of the blades
December 2016
Q. 4. a) Define the following terms:  [4 marks]
i) Diagram efficiency
ii) Nozzle efficiency
Q. 4. b) In a Parson’s turbine running at l500 rpm, the available enthalpy drop for an expansion is 63 kJ/kg. If the mean diameter of the rotor is l00 cm, find the number of moving rows required. Assume that efficiency of a stage is 0.8, blade outlet angle 20º and speed ratio 0.7. [6 marks]
March 2017
Q. 5. a)  What do you mean by compounding of steam turbine?  Discuss any one method. [4 marks]
Q. 5. b)  A single stage steam turbine is supplied with steam at 5 bar & 200º at the rate of 50 kg/min. It expanse into condenser at a pressure of 0.2 bar. The blade speed is 400 m/s, the nozzle are inclined at an angle is 20º to the plane of the wheel and the outlet blade angle is 30º. Neglecting frictional losses, determine the power developed, blade efficiency and stage efficiency. [6 marks]
                                                (OR)
Q. 6. a) Define the following as related to steam turbines. [4 marks]
i) Speed ratio
i) Blade velocity coefficient
iii) Diagram efficiency
iv) Stage efficiency
Q. 6. b) In an Impulse turbine the diameter of the blade is l.05 m and the speed is 3000 rpm. The nozzle angle is l8º, the ratio of the blade speed to steam speed is 0.42 and the ratio of the relative velocity at outlet from the blades to that at inlet is 0.84 the outlet angle of blade is to be made 30º less than that at the inlet angle. The steam flow is l0 kg/sec. Draw velocity diagram for blades and calculate: [6 marks]
i) Tangential thrust on the blades
 ii) Axial thrust on the blades
iii) Power developed in the blades
May 2017
Q. 3. b) Steam issues from the nozzle of an impulse steam turbine with a velocity of l200 m/s. The nozzle angle is 20°. The mean blade speed is 400 m/s and inlet & outlet angles of moving blades are equal. The mass of steam flowing through the turbine is 900 kg/hr. Assume friction factor =0.8
Determine: [8 marks]     
i) Blade angles
ii) Power developed
iii) Blade efficiency
                                                (OR)
Q. 4. b) Explain: [4 marks]
i) Blade efficiency
ii) Stage efficiency
December 2017 (2012 Pattern)
Q. 3. b) Explain with suitable sketch different methods of compounding of steam turbines. [6 marks]
(OR)
Q. 4. a) The following particulars refer to a stage if Parson’s turbine comprising one ring of fixed blade and one blade of moving blades; Mean diameter of the blade ring = 70 cm, RPM = 3000, steam velocity at exit from blade = l60 m/s, blade outlet angle = 20º, steam flow through blades = 7 kg/s. Draw the velocity diagram and find following: [6 marks]
i) Blade inlet angle,
ii) Tangential force on the ring of a moving blade,
iii) Power developed in a stage
Q. 4. b) What is cavitation? On what factors does the cavitation in reaction turbines depend? [4 marks]
December 2017 (2015 Pattern)
Q. 5. a) Write difference between throttle and nozzle governing used in steam turbines and explain with neat sketch of nozzle governing. [8 marks]
Q. 5. b) Steam issues from the nozzles of an angle of 20° at a velocity of 440 m/s, the friction factor is 0.9, for a single stage turbine designed for a maximum efficiency determine: [8 marks]
i) Blade velocity
ii) Moving blade angles for equiangular blades
iii) Blade efficiency
iv) Stage efficiency if the nozzle efficiency is 93% & power developed for mass flow   rate of 3 kg/s
                                                (OR)
Q. 6. a) Discuss reheat factor with the help of T.S. diagram. [6 marks]
Q. 6. b) Following data refer to the single row of impulse steam turbine mean diameter of the blade ring = l.l m, Speed = 3000 rpm, Nozzle angle = l7 deg., ratio of blade velocity to the steam velocity = 0.45, blade friction factor = 0.82, Blade angle at exit is less by 3 deg. to that at inlet, steam mass flow rate = l0.2 kg/s. Draw a velocity diagram and find the following: [8 marks]
(i) Blade angles at inlet and outlet
(ii) Tangential force
(iii) Axial force
(iv) Resultant force
(v) Power developed.
May 2018
Q. 5. a) Explain the term Reheat Factor in steam turbines. [6 marks]
Q. 5. b) In a stage of a Turbine with Parson's blading delivers dry saturated steam at 2.7 bar from the fixed blades at 90 m/sec. The mean Blade height is 40 mm, and the moving blade exit angle is 20°. The axial velocity of steam is 3/4 of the blade velocity at the mean radius. Steam is supplied to the stage at the rate of 9000 kg/hr, the effect of the blade tip thickness on the annulus area can be neglected. Calculate: [10 marks]
i) Wheel speed in RPM  
ii) The diagram power
iii) The diagram efficiency
iv) The enthalpy drop of steam in the stage
                                                (OR)
Q. 6. a) Explain why subsonic nozzle is convergent while supersonic nozzle is divergent. [4 marks]
Q. 6. b) Derive an expression for diagram efficiency of single stage Impulse Turbine. Obtain the Condition for Maximum efficiency & its value. [6 marks]

Q. 6. c)  In a single stage impulse turbine the mean diameter of the blade ring is l m and the rotational speed is 3000 rpm. The steam is issued from the nozzle at 300 m/sec and nozzle angle is 20°. The blades are equiangular. If the friction loss in the blade channel is l9% of the kinetic energy corresponds to relative velocity at the inlet to the blades. What is the power developed in the blading when the axial thrust on the blades is 98 N. Solve the problem graphically. [6 marks]
December 2018
Q. 5. a) Explain the pressure compounded impulse turbine showing pressure and velocity variations along the axis of the turbine. [6 marks]
Q. 5. b) In a single stage steam turbine saturated steam at 10 bar (absolute) is supplied through a convergent divergent steam nozzle. The nozzle angle is 20º and mean blade speed is 400 m/s. The steam pressure leaving the nozzle is 1 bar (absolute). Find:
i) The best blade angles if the blades are equiangular
ii) The maximum power developed by the turbine if number of nozzles used are 5 and the area at the throat of each nozzle is 0.6 cm2.
Assume nozzle efficiency 88%, blade friction coefficient of 0.87 and index of expansion n = 1.4. Solve using graphical method. [10 marks]
                                                (OR)
Q. 6. a) Enumerate the energy losses in steam turbine. [6 marks]
Q. 6. b) A 50% reaction turbine (with symmetrical velocity triangles) is running at 400 rpm has the exit angle of blades as 20º and the velocity of the steam relative to the blades at the exit is 1.35 times the mean blade speed. The steam flow rate is 8.33 kg/s and at a particular stage the specific volume is 1.381 m3/kg. Calculate for the stage: [10 marks]
i) A suitable blade height, assuming the rotor mean diameter 12 times the blade height.
ii) The diagram work
May 2019
Q. 5. a) Compare impulse turbine & reaction steam turbine.  [4 marks]
Q. 5. b) Explain the need of compounding in steam turbines. Discuss any one method. [4 marks]
Q. 5. c) Steam issues from the nozzles at angle of 20° at a velocity of 440 m/s. The friction factor is 0.9. For a single stage turbine designed for maximum efficiency, determine: [8 marks]
i) The blade velocity
ii) Moving blade angles for equiangular blades
iii) The blade efficiency
iv) The stage efficiency if the nozzle efficiency is 93%
v) Power developed for a mass flow rate of steam of 3 kg/s.
                                                (OR)
Q. 6. a) For a certain stage of 50% reaction turbine, the mean root diameter is 1.35 m and speed ratio is 0.69. The rotor speed is 3000 rpm and outlet blade angle is 55°. Find: [8 marks]
i) Inlet blade angle
ii) Blade efficiency and maximum blade efficiency
Q. 6. b) Define the following terms: [4 marks]
i)          Diagram efficiency
ii)         Nozzle efficiency
Q. 6. c) Explain with neat sketch throttle governing of steam turbine. [4 marks]