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- Advanced Fluid Dynamics - AFD
- 2017
- PYQ
**Biju Patnaik University of Technology Rourkela Odisha - BPUT**- Chemical Engineering
- B.Tech
**577 Views**- 12 Offline Downloads
- Uploaded 1 year ago

Registration No. Total number of pages : 03 B.Tech. PCE3D001 3rd Semester Regular/Back Examination 2017-18 ADVANCED FLUID DYNAMICS BRANCH : CHEM Time : 3 Hours Max Marks : 100 Q.CODE : B1205 Answer Question No.1 and 2 which are compulsory and any four from the rest. The figures in the right hand margin indicate marks. Assume suitable notations and any missing data wherever necessary. Answer all parts of a question at a place. 1. (a) (b) (c) (d) (e) (f) (g) (h) Answer the following questions : Which of the following is most viscous fluid? a) Water b) Glycerin c) Coal tar d) Ethyl alcohol A shear stress of 6 dyn/cm2 causes a Newtonian fluid to have an angular deformation of 2 rad/s. Its viscosity in centipoises is: a) 300 b) 3 c) 12 d) 1200 The Prandtl mixing length is: a) Zero at the pipe wall b) A universal constant c) Useful for analyzing laminar flow problems d) All of the above Navier-Stokes equation is useful in the analysis of: a) Viscous flows b) Non-viscous flows c) Turbulent flows d) Both viscous and turbulent flows The eddy viscosity is: a) Greater for laminar flow than for turbulent flow b) A constant if the temperature remains same c) Mainly a function of the type of turbulence involved d) A fluid property The boundary layer thickness in turbulent flow over a flat plate: a) Increases as x1/5 b) Increases as x1/2 c) Increases as x4/5 d) Increases as x5/4 A fluid can be considered incompressible for Mach number upto: a) 0.1 b) 0.3 c) 1 d) 0.75 The speed of sound wave in an ideal gas is a function of: (2x10)

(i) (j) 2. (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) 3. (a) (b) (c) 4. (a) (b) 5. (a) (b) 6. (a) (b) a) Its pressure only b) Its temperature only c) Its specific volume only d) All of the above For motion of spherical particle in a stationary fluid, the drag coefficient in the Stoke’s law range is given by: a) 16/NRe,P b) 24/NRe,P c) 64/NRe,P d) 6/NRe,P The wall drag is primarily due to: a) Separation of boundary layer b) Pressure distribution over the body surface c) Shear stresses generated due to viscous action d) Development of stagnation point Answer the following questions : What are shear thinning and shear thickening fluids? Define a pathline. What do pathlinesindicate? What do you understand by total acceleration, local acceleration, and convective acceleration for any fluid flow field? Explain rotation and linear translational motion of a fluid particle. Define vorticity. Define momentum thickness and energy thickness. Show the velocity profiles in a pipe for laminar and turbulent flows by means of diagrams. What is creeping flow? What are wall drag and form drag? Define Mach number and mention its significance. (2x10) Consider two-dimensional, steady, and incompressible flow through the plane converging channel. The velocity on the horizontal centerline (x axis) is given by: ⃗= 1+ ̂ Find an expression for the acceleration of a particle moving along the centerline using (i) the Eulerian approach and (ii) the Lagrangian approach. Differentiate between forced vortex flow and free vortex flow. Derive the integral form of continuity equation for a control volume in a rectangular co-ordinate system. (4) Consider flow fields with purely tangential motion (circular streamlines): Vr = 0 and Vθ= f(r). Evaluate the rotation, vorticity, and circulation for rigidbody rotation, a forced vortex. Show that it is possible to choose f(r) so that flow is irrotational, i.e., to produce a free vortex. Derive general form of Navier-Stokes equation in rectangular co-ordinate system for Newtonian fluid. (5) (3) (8) (10) Define and explain briefly the following: i) Velocity potential ii) Stream function Consider the flow field given by ψ = ax2 - ay2, where a= 3 s-1. Show that the flow is irrotational. Determine the velocity potential for this flow. (5) (5) (5) Obtain von-Karman momentum integral equation. Explain Prandtl’s mixing length theory. (10) (5)

7. Discuss briefly the development of boundary layer for flow over a flat plate and the different flow regimes. What are the methods of preventing the separation of boundary layer flow? (15) 8. Derive the basic general equations for one-dimensional compressible flow. (15) Write briefly on lift and drag in air foils. Discuss in detail the mechanism of fluidization. Write types and applications of fluidization. (5) (10) 9. (a) (b)

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