GTU previous years question papers
GUJARAT TECHNOLOGICAL UNIVERSITY
B.E. Sem-III Regular / Remedial Examination December 2010
Subject code: 130602
Subject Name: Fluid Mechanics
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Explain the terms Dynamic Viscosity and Kinematics Viscosity. Also discuss
effect of temperature on viscosity.
(b) Explain with sketch the relationship between the absolute pressure, atmospheric
pressure and gauge pressure.
Q.2 (a) State the Bernoulli’s equation and obtain Bernoulli’s equation from Euler’s equation of motion.
(b) Derive Darcy Weisbach equation for loss of head in a pipe due to friction.
(b) Calculate the discharge through a rectangular orifice 2 m wide and 1.6 m deep
fitted to a water tank. The water level in the tank is 2.7 m above the top edge of
the orifice. Take Coefficient of discharge = 0.62
Q.3 (a) Define : (1) Specific Weight (2) Buoyancy (3) Meta Centric Height (4)
Hydraulic Gradient Line (5) Co-efficient of Contraction (6) Mach Number (7) Capillarity
(b) Explain the conditions of equilibrium of a floating and submerged body.
Q.3 (a) Determine the total pressure and depth of centre of pressure on a triangular plate
of base 3 m and altitude 3 m which is immersed in the water in such a way that
plan of the plate makes an angle of 60° with the free surface. The base of the
plate is parallel to water surface and at a depth of a 2 m from water surface.
(b) Explain analytical Method to determine Metacentric height.
Q.4 (a) Explain Flow Net in details. Also discuss its characteristics, Utility and Limitations.
(b) The Water is flowing through a pipe having diameters 30 cm and 12 cm at
section 1 and 2 respectively. The rate of flow through pipe is 40 litres/second.
The section 1 is 8 m above datum and section 2 is 6 m above datum. If the
pressure at section 1 is 42 N/cm2, find the intensity of pressure at section 2.
Q.4 (a) Derive expression for rate of flow through venturimeter.
(b) The velocity potential function is given by ф = 5 (x2 – y2). Calculate the velocity
components at the point (4,5).
Q.5 (a) Prove that velocity of sound wave is equal to square root of the ratio of change of pressure to change of density of a fluid due to disturbance.
(b) Derive an expression for loss of head due to sudden contraction.
Q.5 (a) Derive an equation for discharge over a rectangular notch.
(b) Write short note on flow through pipe in series.