Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 5th Sem New 2154002 Fluid Mechanics And Hydraulics Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2154002 Date: 21/11/2019
Subject Name: Fluid Mechanics and Hydraulics
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Explain the followings in detail:
(i) Newtonian and Non-newtonian fluids; (ii) Surface Tension;
(iii) Compressibility; (iv) Vapour pressure.
07
(b) Derive an expression for the depth of center of pressure from free liquid surface
of an inclined plane surface submerged in the liquid.
07
Q.2 (a) In a two-dimensional, incompressible flow the fluid velocity components are
given by: u = x ? 4y and v = ? y ? 4x. Show that the flow satisfies the continuity
equation and obtain the expression for the stream function. If the flow is potential
(irrotational) obtain also the expression for the velocity potential.
07
(b) State Bernoulli?s theorem and derive Bernoulli?s equation from fundamentals.
Mention the assumptions made. List out its engineering applications.
07
OR
(b) What is free jet of liquid? Derive an expression for the path travelled by free jet
issuing from a nozzle.
07
Q.3 (a) What is orifice-meter? Derive an expression for the discharge through an orifice-
meter.
07
(b) The following data is given for a Francis Turbine. Net head H = 60 m; Speed N
= 700 rpm; shaft power = 294.3 kW; ?? 0 = 84%; ?? ? = 93%; flow ratio = 0.20;
breadth ratio n = 0.1; Outer diameter of the runner = 2 ? inner diameter of runner.
The thickness of vanes occupy 5 % of circumferential area of the runner, velocity
of flow is constant at inlet and outlet and discharge is radial at outlet. Determine:
(i) Guide blade angle; (ii) Runner vane angles at inlet and outlet; (iii) Diameters
of runner at inlet and outlet; and (iv) Width of wheel at inlet.
07
OR
Q.3 (a) Derive an expression for the discharge over a triangular notch in terms of head
of water over the crest of the notch.
07
(b) Draw and discuss the characteristics curves of a centrifugal pump. 07
Q.4 (a) Three pipes of diameters 300 mm, 200 mm and 400 mm having lengths 450 m,
255 m and 315m respectively are connected in series. The difference in water
surface levels in two tanks is 18 m. Determine the rate of flow of water if co-
efficient of friction are 0.0075, 0.0078 and 0.0072 respectively, considering:
(i) Minor losses and (ii) Neglecting minor losses.
07
(b) Explain briefly the following in context to open channel flow:
(i) Uniform and non-uniform flows; (ii) Laminar and turbulent flows;
(iii) Steady and unsteady flows; (iv) Subcritical and supercritical flows;
(v) Gradually varied and rapidly varied flows.
07
OR
Q.4 (a) Derive Darcy-Weisbach formula for loss of head due to friction in pipe. 07
(b) The discharge of water through a rectangular channel of width 8 m, is 15 m
3
/s
when depth of flow of water is 1.2 m. Calculate: (i) Specific energy of the flowing
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? V (New) EXAMINATION ? WINTER 2019
Subject Code: 2154002 Date: 21/11/2019
Subject Name: Fluid Mechanics and Hydraulics
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Explain the followings in detail:
(i) Newtonian and Non-newtonian fluids; (ii) Surface Tension;
(iii) Compressibility; (iv) Vapour pressure.
07
(b) Derive an expression for the depth of center of pressure from free liquid surface
of an inclined plane surface submerged in the liquid.
07
Q.2 (a) In a two-dimensional, incompressible flow the fluid velocity components are
given by: u = x ? 4y and v = ? y ? 4x. Show that the flow satisfies the continuity
equation and obtain the expression for the stream function. If the flow is potential
(irrotational) obtain also the expression for the velocity potential.
07
(b) State Bernoulli?s theorem and derive Bernoulli?s equation from fundamentals.
Mention the assumptions made. List out its engineering applications.
07
OR
(b) What is free jet of liquid? Derive an expression for the path travelled by free jet
issuing from a nozzle.
07
Q.3 (a) What is orifice-meter? Derive an expression for the discharge through an orifice-
meter.
07
(b) The following data is given for a Francis Turbine. Net head H = 60 m; Speed N
= 700 rpm; shaft power = 294.3 kW; ?? 0 = 84%; ?? ? = 93%; flow ratio = 0.20;
breadth ratio n = 0.1; Outer diameter of the runner = 2 ? inner diameter of runner.
The thickness of vanes occupy 5 % of circumferential area of the runner, velocity
of flow is constant at inlet and outlet and discharge is radial at outlet. Determine:
(i) Guide blade angle; (ii) Runner vane angles at inlet and outlet; (iii) Diameters
of runner at inlet and outlet; and (iv) Width of wheel at inlet.
07
OR
Q.3 (a) Derive an expression for the discharge over a triangular notch in terms of head
of water over the crest of the notch.
07
(b) Draw and discuss the characteristics curves of a centrifugal pump. 07
Q.4 (a) Three pipes of diameters 300 mm, 200 mm and 400 mm having lengths 450 m,
255 m and 315m respectively are connected in series. The difference in water
surface levels in two tanks is 18 m. Determine the rate of flow of water if co-
efficient of friction are 0.0075, 0.0078 and 0.0072 respectively, considering:
(i) Minor losses and (ii) Neglecting minor losses.
07
(b) Explain briefly the following in context to open channel flow:
(i) Uniform and non-uniform flows; (ii) Laminar and turbulent flows;
(iii) Steady and unsteady flows; (iv) Subcritical and supercritical flows;
(v) Gradually varied and rapidly varied flows.
07
OR
Q.4 (a) Derive Darcy-Weisbach formula for loss of head due to friction in pipe. 07
(b) The discharge of water through a rectangular channel of width 8 m, is 15 m
3
/s
when depth of flow of water is 1.2 m. Calculate: (i) Specific energy of the flowing
07
2
water; (ii) Critical depth and critical velocity; (iii) Value of minimum specific
energy (iv) Froude number and state whether flow is subcritical or supercritical.
Q.5 (a) Determine from first principle the conditions required for the formation of
hydraulic jump in the case of a rectangular channel of constant width and derive
an expression for loss of head in terms of depth just before and after the hydraulic
jump.
07
(b) An inverted tube differential manometer having an oil of specific gravity 0.8 is
connected to two different pipes carrying water under pressure. Determine the
pressure in the pipe B. The pressure in pipe A is 4 m of water.
07
OR
Q.5 (a) The resisting force of a plane during flight can be considered as dependent upon
the length of aircraft, velocity, air viscosity, air density, and bulk modulus of air.
Express the fundamental relationship between these variables and the resisting
force using dimensional analysis.
07
(b) Derive Hagen-Poiseuille equation and state the assumptions made. 07
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This post was last modified on 20 February 2020