CE6303 MECHANICS OF FLUIDS, Second year, Department of Civil Engineering, Model Exam Questions.

Answer ALL QuestionsPART A – (10 x 2 = 20 Mark )
1.      Define viscosity?
2.      Write down the expression for capillary rise?
3.      State Bernouillie’s equation?
4.      Define stream function?
5.      What are the characteristics of laminar flow?
6.      List major and minor losses of flow in a pipe?
7.      Define momentum thickness?
8.      Draw the diagram for drag force on a plate due to boundary layer?
9.      Define dimensions analysis?
10.  List out the advantages of velocity?

PART –B (5x16=80 marks)
11.  (a) Thedynamic viscosity of a oil used for lubrication between a sharp and a sleeve of poise the shaft is a diameter of 0.4m and rotate at 180rpm .calculate the power lossed in the bearing for a sleeve length of 90mm. thickness of the oil film is 1.5mm.                                                                                                    (16)
(OR)
11. (b)Ifthe velocity profile of a fluid over a plate is a parabolic with a vertex 20cm from the plate where the velocity is 120cm/s . calculate the velocity gradient and shear stresses at a distance of 0,10,20 cm from the plate. If the viscosity of the fluid is 8.5 poise.                                                                                                               (16)

12.  (a)Avertical sluice gate is used to cover and opening in a dam. The opening is 2m wide and 1.2m height. On the upstream of the gate,the liquid of specific gravity
1.45 lies upto a height of 1.4m above the top of the gate where as on the down stream side the water is available upto height touching the top of the gate. Find the resultant force acting on the gate and position of centre of pressure. Find also the force acting horizontally at the top of the gate which is capable of opening it. Assume that the gate is hinged at the bottom.                                           (16)
                                                (OR)
12.(b)A rectangular plane surface 2m wide and 3m deep lies in water in such a way that its plane makes an angle of 30degree with the free surface of water. Determine the total pressure and position of centre of pressure when the upper edge is 1.5m below the free water.                                                                                                             (16)
13.  (a)Find the head lost dut to friction in a pipe of diameter 300mm and length 50m through which water is flowing at a velocity of 3m/s using i)chazy’s formula for which c=60(16)
(OR)
13.(b)Explain Euler’s equation of motion.                                                           (16)
14.  (a)Find the displacement thickness for the velocity distribution in the boundary layer given by u/U=2(y/Ïš)-(y/Ïš)2.                                                                        (16)
(OR)
14.(b)Explain force on a flat plate due to boundary layer.                                   (16)
15.  (a)Explain buckingham’s theorem.                                                                (16)
(OR)
15.(b)A 7.2m height and 15m length spillway discharge 94m3/s under a head of 2m. if 1.9scale model of this spillway is to be constructed determine model dimension head over spillway model and the model discharge. If model experience of force of 7500N(764.3kgf)determine force on the prototype.                       (16)