8HP Transport Phenomena - April'2000

Part A (20 x 2 = 40 Marks)

1. What are the units of kinematic viscosity?
2. Define Newtonian fluids
3. What are Bingham plastics?
4. Write down the the momentum balance equation
5. Define compressible and incompressible fluids
6. For Newtonian fluids flowing through two parallel infinite flat plates, the average velocity is __________ of maximum velocity
7. Write down the dimensionless numbers
8. Define Nusselt number
9. Define friction factor
10. Write the continuity equation
11. Define porosity
13. Write down the Brinkman number
14. How is thermal diffusivity defined?
15. What are the limitations on the relation Cp - Cv = R?
16. State Fick's second law of diffusion
17. Define molar average velocity
18. What is the effect of pressure on diffusivity?
19. Define mass flux
20. What is diffusion?
21. Part B (5 x 12 = 60 Marks)

22. Prove that the flow of a liquid in laminar flow between two infinite parallel flat plates is given by
Po - PL = 12mVavgL / a2
where L is length of plate in the direction of flow, a is the distance between plates.

23. Or
24. A test on water in a capillary viscometer gave the following data:

25. Flow rate = 880 mm3/sec, Tube length = 1 m, Tube diameter = 0.5 mm, Pressure drop = 10 mPa. Determine the viscosity of water and test the flow is in laminar region.

26. Derive the Navier-Stokes equation.
27. Or

28. Derive the Hagen-Poiseuillie equation by the application of Navier-Stokes equation.
29. (a) Explain with a neat figure, the velocity distribution for turbulent flow in tubes.
30. (b) Write down the equations for three regions of turbulent flow.

Or
31. (a) Define friction factors for flow in conduits and for flow in submerged objects.
32. (b) Write down the Blake-Kozeny equation and Burke-Plummer equation.

33. Derive the equations for temperature profile and heat flow at the surface for heat conduction with an electrical source.
34. Or

35. A furnace is constructed with 225 mm of fire brick, 120 mm of insulating brick, 225 mm of building brick. The inside temperature is 1200 K and the outside temperature 330 K. If the thermal conductivities are 1.4, 0.2 and 0.7 W/m.K, find the heat loss per unit area and the temperature at the junction of the fire brick and insulating brick.
36. Derive the equation for diffusion through a stagnant gas film.
37. Or

38. Derive the equations of continuity for a binary mixture.