CE6451 Fluid Mechanics and Machinery
Second year, Department of Mechanical Engineering
First and second Units Questions.

Answer ALL Questions        PART A – (10 x 2 = 20 Marks)
1.      Explain the variation of viscosity with temperature.
2.      Calculate the specific weight and specific gravity of 1 litre of a liquid with a density of 713.5kg/m3 and which weighs 7N.
3.      Differentiate between kinematic viscosity and dynamic viscosity.
4.      State Newton’s law of viscosity.
5.      State the continuity equation for a 3-D incompressible fluid flow.
6.      Write the impulse momentum equation.
7.      Explain the term capillarity.
8.      State  the use of venturimeter.
9.      What is orificemeter and mention its basic principle ?
10.  Define surface tension and express its unit.
 11.a  (i)State the Bernoulli’ s theorem for steady flow of an incompressible fluid.(8)
ii) Water is flowing through a pipe of diameter 30 cm and 20cm respectively. The rate of flow through pipe is 35lps.The section 1 is 8m above datum and section 2 is 6m above datum. If the pressure at section I is 44.5 N/cm2.Find the intensity of pressure at section 2.  (5)
12. a (i) Derive the continuity equation for a 3-dimensional flow in cartesian coordinates. (8)
          (ii) The velocity distribution for flow over a flat plate is given by u=3/4y-y2 in which u is the velocity in metre per second at a distance y metre above the plate. Determine the shear stress at y=0.15m.Take dynamic viscosity of fluid as 8.6 poise. (5)           
 13.   a) i) Derive the expression for force exerted on the bend.(5)
ii) A liquid of specific gravity 0.85 is flowing through in an inclined venturimeter of 250mm×115 mm size. The difference of pressures between the main and throat is measured by a liquid of specific gravity 0.65 contained in a inverted U-tube which gives a reading of 275mm.If the loss of head between the main and throat is 0.3 times the kinetic head of the pipe. determine the rate of flow of liquid. (8)        
14.a)  i)A venturimeter is used for the measurement of discharge of water in a horizontal pipeline.The upstream diameter is 300 mm.The throat is 150 mm diameter and the pressure difference between inlet and throat is 3 m head of water. If the loss of head through converging section of the meter is 1/8 th of the throat velocity head.Calculate the discharge in the pipeline.  (8)
            ii)Derive Euler’s equation of motion for flow along a stream line.(5)
        15.a) i) A bend in a pipeline converging water gradually reduces from 700mm to 400mm diameter and deflects the flow through an angle of 45°.Find the magnitude and direction of force exerted on the bend, if the velocity of flow at 700mm section is 8m/s and pressure is 350kN/m2. (8)
                             ii) A flat plate of 0.5m2 in area moves through oil between large fixed parallel planes 150mm apart.The gap between two parallel planes is filled with oil of kinematic viscosity 0.4×10-4 m2/s, specific gravity 0.75 and the plate moving with the velocity of 0.8m.s.Calculate the drag force when (i) the plate is 30mm from one of the planes (ii) the plate is placed midway between the plates. (5)
PART – B( 1×15=15 Marks)
16. Water flows through a pipe AB of diameter 50mm which is in series with pipe BC of diameter 75mm in which velocity is 2 m/s. At  pipe C forks and one branch CD is of unknown diameter such that the velocity is 1.5m/s.The other branch CE is of diameter 25mm and condition are such that the discharge in the pipe BC  divides o that the discharge in the pipe CD is equal to two times if discharge in CE. Calculate (i) discharge in Pipe AB and CD(ii) velocity in pipe AB and CE.(iii) diameter of pipe CD.