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Posted By: Sriram Member Level: Diamond Posted Date: 04 Sep 2008
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2008 Andhra Pradesh State Jawaharlal Nehru Technological University B.Tech MECHANICS OF FLUIDS Set No. 1 Question paper
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Code No: RR212101 Set No. 1 II B.Tech I Semester Supplimentary Examinations, February 2008 MECHANICS OF FLUIDS (Aeronautical Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions All Questions carry equal marks
1. (a) Write a note on viscosity and compressibility. (b) Calculate the velocity gradient at distances of 0,10,15 cm from the boundary if the velocity profile is a parabola given by u =Ay2 + By + C and with the vertex 15cm from the boundary, where the velocity is 100 cm/sec. Also calculate the shear stress at these points if the fluid has a viscosity of 8.2 poise. [8+8] 2. (a) Derive the continuity equation for 3-D fluid flow. (b) A fluid flow field is given by V = xyi + 2yzj - (yz + z2)k Determine whether this is a possible steady incompressible fluid flow. If so, determine the valu of rotation at the point P (1,2,3). [8+8] 3. (a) What are the body forces considered in fluid flow problems? (b) A 15-cm diameter pipe is reduced to 7.5 cm diameter through a gradual con- traction. The difference between the piezometric heads at the main and con- tracted section is 4 cm of mercury. By neglecting losses calculate the discharge of water. [8+8] 4. (a) What is meant by smooth boundary and a rough boundary? (b) Describe briefly the phenomenon of boundary layer separation. (c) At what wind speed must a 127 mm diameter sphere travel through water to have a drag of 5 N. [4+6+6] 5. (a) What is the difference between isotropic and adiabatic flow? (b) A normal shock wave occurs in a diverging section when air is flowing at velocity of 420 m/s ,pressure 100KN/m2 and temperature 100C . Determine (i) Mach number before and after shock (ii) pressure rise and (ii) the velocity and temperature after shock. [8+8] 6. (a) Enumerate the characteristics of laminar flow? Give examples where such a flow is encountered. (b) Oil of absolute viscosity 1.5 poise and relative density 0.85 flows through a 30 cm diameter pipe. If the headloss in 3000m length of pipe is 20m, estimate the friction factor by assuming the flow to be laminar. [8+8] 7. (a) Explain different laws of fluid friction in detail? 1 of 2 Code No: RR212101 Set No. 1 (b) A siphon of diameter 20cm connects two reservoirs having a difference in elevation of 20m. The length of the siphon is 500m and the summit is 3m above the water level in the upper reservoir. The length of the pipe from upper reservoir to the summit is 100m. Determine the discharge through the siphon and also pressure at the summit by neglecting minor losses and taking coefficient of friction as 0.005. [8+8] 8. (a) What is the purpose of a differential manometer, and what are the types of differential manometers (b) What are the devises to measure discharge in open channels. [8+8]
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