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- Advanced Fluid Mechanics - AFM
- 2018
- PYQ
**Biju Patnaik University of Technology Rourkela Odisha - BPUT**- Mechanical Engineering
- B.Tech
**60 Views**- 3 Offline Downloads
- Uploaded 10 months ago

Registration No : Total Number of Pages : 02 M.Tech HTPC101 1st Semester Back Examination 2018-19 ADVANCED FLUID MECHANICS BRANCH : HEAT POWER THERMAL ENGG, HEAT POWER ENGG, MECH. ENGG (HEAT POWER ENGG), MECH. ENGG., THERMAL ENGG, THERMAL POWER ENGG Time : 3 Hours Max Marks : 70 Q.CODE : E645 Answer Question No.1 which is compulsory and any FIVE from the rest. The figures in the right hand margin indicate marks. Q1 c) d) e) f) Answer the following questions : Write two methods to control the boundary layer separation. What is basic difference between approximate and similarity solution for boundary layer flow of an incompressible fluid over a flat plate? Define time averaging of a flow quantity in a turbulent flow. What do you mean by closure of turbulence? Define isotropic turbulence. Explain what you mean by ‘Stationary turbulence’. g) Find the vorticity components at point (1, 1, 1) for the following flow field. a) b) (2 x 10) 3 u 2 x 2 3 y , v 2 xy 3 y 2 3 zy , w z 2 2 xz 9 y 2 z 2 h) i) j) Explain Euler’s equation and its significance. Explain circulation and its significance. Sketch the velocity distribution curves for laminar and turbulent flow in a circular pipe. Q2 a) b) Discuss Prandtl's Mixing Length Theory Explain Stokes and Oseen's approximation (5) (5) Q3 a) Use Reynolds decomposition and suitable averaging procedure to derive Reynolds average Navier-Stokes system (RANS) of equations for an incompressible turbulent flow. How is turbulent viscosity determined in zero-equation, one-equation models of turbulence? (5) Assuming second degree velocity distribution, i.e. u/Umax=2(y/δ)-(y/δ)2 in the boundary layer, determine using integral momentum equation, the thickness of boundary layer friction coefficient, displacement and momentum thickness Derive the differential form of continuity equation for in-compressible fluid in Cartesian coordinates (5) Consider a two-dimensional flow field defined by u x(1 2t ) and v y . Find the equation for streamline passing through the point (1, 1). Find the equation for path line passing through the same point. (5) b) Q4 a) b) Q5 a) b) (5) (5) (5)

Q6 The stream function for Blasius-boundary layer flow is given by (10) U and f is the solution of f ''' ff '' 0 2 x with boundary conditions f (0) f '(0) 0 and f '() 1 . Show that the (2U x) f ( ) where y displacement thickness is given by * A x . Use the table given below to U determine the value of constant A. f ( ) 0.0 0.0 Q7 f '( ) 0.0 f ''( ) 0.46960 0.1 0.00235 0.04696 0.46956 0.3 0.00939 0.09391 0.46931 5.6 4.38322 0.999995 0.000022 5.8 4.58322 0.999998 0.000009 6.0 4.78322 0.999999 0.000003 Find the velocity profile, co-efficient of friction factor and average velocity for a fully developed laminar flow in between two parallel plates. State your assumptions clearly. Q8 a) b) c) d) Write short answer on any TWO : Stream and potential functions Separation of boundary layer Laminar and Turbulent Boundary layer Coquette flow (10) (5 x 2)

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