Advanced Transport Processes

NPTEL via Swayam

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ABOUT THE COURSE:The study of transport phenomena an essential part of chemical engineering, and other disciplines concerned with material transformations such as biomedical engineering, microfluidics, reactor design and metallurgy. Material transformations require the motion of constituents relative to each other, the transfer of heat across materials and fluid flow. This course introduces the student to the fundamentals and applications of transport phenomena in a single volume, and explains how the outcomes of transformation processes depend on fluid flow and heat/mass transfer. It demonstrates the progression from physical concepts to the mathematical formulation, followed by the solution techniques for predicting outcomes in industrial applications. This course also provides a foundation for advanced courses in fluid mechanics, multiphase flows and turbulence.INTENDED AUDIENCE: BE/B. Tech Final year/M. Tech. First Year Chemical Engineering/Biochemical Engineering/Materials EngineeringPREREQUISITES: Undergraduate mathematics, linear algebra, ordinary differential equations.INDUSTRY SUPPORT: Companies that design or operate processes for material transformations.

Syllabus

Week 1: Conservation equations: Mass conservation.
1.Ch.7, Sec.1: Conservation equations, Cartesian co-ordinates.
2.Ch.7, Sec.2: Conservation equations, Spherical co-ordinates.
3.Ch.7, Sec.2: Conservation equations, Spherical co-ordinates.
4.Ch.7, Sec.2: Conservation equations, Vector operators, Gradient Divergence, Curl.
Ch.7, Sec.2: Conservation equations, Vector operators, Gradient Divergence, Curl.
Week 2:Conservation equations: Momentum conservation.
6.Ch.7,Sec.3.1: Conservation equations, Navier-Stokes mass conservation, stream function.
7.Ch.7, Sec.3.2: Conservation equations, Stress tensor.
8.Ch.7,Sec.3.2: Conservation equations, Stress tensor, pressure.
9.Ch.7,Sec.3.3: Conservation equations, Rate of deformation tensor.
Ch.7,Sec.3.3: Conservation equations, Decomposition of rate of deformation tensor.
Week 3:Conservation equations, Transport into infinite medium.
11. Ch. 7, Sec. 3.4: Conservation equations, Newton’s law of viscosity.
12. Ch. 7, Sec. 3.5: Conservation equations Navier-Stokes momentum equation.
13. Ch. 7 Sec. 3.6: Conservation equations, Potential flow.
14. Ch. 4, Sec. 4: Similarity solution. Transport into infinite medium.
Ch. 4, Sec. 4: Similarity solution. Transport into infinite medium.
Week 4:Unsteady transport: Similarity solutions.
16. Ch. 4, Sec. 4.1: Similarity solution. Diffusion into infinite film.
17. Ch. 4, Sec. 5: Similarity solution. Decay of a pulse.
18. Ch. 4, Sec. 5: Similarity solution. Decay of a pulse.
19. Ch. 4, Sec. 6: Similarity solution. Time-dependent length scale.
Ch. 5, Sec. 1.3: Similarity solution. Heat conduction from a wire.
Week 5:Unsteady transport: Separation of variables.
21. Ch. 4, Sec. 7: Separation of variables: Transport into finite medium. Cartesian co-ordinates.
22. Ch. 4, Sec. 7: Separation of variables: Transport into finite medium. Cartesian co-ordinates.
23. Ch. 5, Sec. 1.4: Separation of variables. Heat conduction into a cylinder.
24. Ch. 5, Sec. 1.4: Separation of variables. Heat conduction into a cylinder.
Ch. 5, Sec. 2.4: Separation of variables. Heat conduction into a sphere.
Week 6:Unidirectional flow: Oscillatory flow in a pipe.
26. Ch. 5: Sec. 4: Oscillatory flow in a pipe.
27. Ch. 5: Sec. 4: Oscillatory flow in a pipe.
28. Ch. 5: Sec. 4.1: Oscillatory flow in a pipe. Low Reynolds number.
29. Ch. 5: Sec. 4.2: Oscillatory flow in a pipe. High Reynolds number.
Ch. 8: Sec. 1: Diffusion equation: Separation of variables. Cartesian co-ordinates
Week 7:Diffusion equation: Separation of variables.
31. Ch. 8: Sec. 1: Diffusion equation: Separation of variables. Cartesian co-ordinates.
32. Ch. 8: Sec. 2: Diffusion equation: Temperature around a spherical inclusion.
33. Ch. 8: Sec. 2: Diffusion equation: Legendre polynomials.
34. Ch. 8: Sec. 2: Diffusion equation: Temperature around spherical inclusion.
Ch. 8: Sec. 2: Diffusion equation: Effective conductivity of a composite
Week 8:Diffusion equation: Separation of variables.
36. Ch. 8: Sec. 2: Diffusion equation: Separation of variables: Nonaxiysmmetric.
37. Ch. 8: Sec. 2: Diffusion equation: Separation of variables: Nonaxiysmmetric.
38. Ch. 8: Sec. 3: Diffusion equation: Multipole expansion: Point source, dipole.
39. Ch. 8: Sec. 3: Diffusion equation: Multipole expansion: Quadrupole.
Ch. 8: Sec. 3: Diffusion equation: Separation of variables & Multipole expansion
Week 9:Diffusion equation: Method of images; Forced convection.
41. Ch. 8: Sec. 4: Diffusion equation: Method of images.
42. Ch. 8: Sec. 4: Diffusion equation: Green’s function method.
43. Ch. 8: Sec. 4: Diffusion equation: Green’s function method.
44. Ch. 9: Sec. 1.1: Forced convection: Flow past rigid surface.
Ch. 9: Sec. 1.1: Forced convection: Flow past rigid surface
Week 10:Forced convection: Flow in a pipe, flow past a particle.
46. Ch. 9: Sec. 1.2: Forced convection: Heat transfer in a pipe.
47. Ch. 9: Sec. 1.3: Forced convection: Flow past spherical particle.
48. Ch. 9: Sec. 1.3: Forced convection: Flow past spherical particle.
49. Ch. 9: Sec. 1.4: Forced convection: General flow-fields, no-slip condition at surface.
Ch. 9: Sec. 2.1: Forced convection: Diffusion from a gas bubble.
Week 11:Forced convection: Diffusion from a bubble, Taylor dispersion.
51. Ch. 9: Sec. 2.1: Forced convection: Diffusion from a gas bubble.
52. Ch. 9: Sec. 2.2: Forced convection: General flow-fields, slip at the surface.
53. Ch. 9: Sec. 2.3: Forced convection: Flow in packed column.
54. Ch. 9: Sec. 2.3: Forced convection: Taylor dispersion.
Ch. 9: Sec. 2.3: Forced convection: Taylor dispersion.
Week 12:Natural convection.
56. Ch. 10: Sec. 1: Natural convection: Bousinessq approximation.
57. Ch. 10: Sec. 1: Natural convection: Bousinessq approximation.
58. Ch. 10: Sec. 2: Natural convection: High Grashof number limit.
59. Ch. 10: Sec. 2: Natural convection: High Grashof number, low Peclet number
Ch. 10: Sec. 2: Natural convection: High Grashof number, high Peclet number