## Transport Phenomena

### Course Name:

Transport Phenomena (MT251)

### Programme:

### Semester:

### Category:

### Credits (L-T-P):

### Course Outcomes:

CO1: The student should be able to solve momentum, heat and mass transfer problems in processing of materials

CO2: To inculcate a sense of confidence among students in solving industry oriented problems involving heat, mass and momentum transfer

CO3: The student should be able to appreciate the importance of reliable input, in the form of properties, initial and boundary conditions, to material processing software

### Course modules and teaching hours:

Module 1: (26 hours)

Momentum Transfer:

1. Units & Dimensions, applications of transport phenomena in materials processing, properties of fluids, Newton’s law of viscosity, momentum diffusivity, Newtonian and Non-Newtonian Fluids

2. Laminar flow, simple cases of flow along an inclined plane, flow between parallel plates, flow through a circular pipe, Equation of Continuity and Navier-Stokes Equation, Creeping flow around a sphere, Stokes law

3. Turbulent and complex flows, Concept of friction factor, dimensional analysis for friction factor, flow over a flat plate, flow past submerged bodies, applications, Packed beds, Darcy’s law, Tube Bundle Theory and Ergun’s Equation, Fluidized beds

4. Bernoulli’s Equation, friction loss in pipes, concept of friction loss factor and entrance loss coefficient, flow through ladles, Pitot tubes, head meters, pumps, flow of compressible fluids, isentropic flow, convergent-divergent nozzles, vacuum pumps, conductance and throughput, Diffusion Pumps, Ion pumps

Module 2: (20 hours)

Heat Transfer:

1. Fourier law of heat conduction, thermal properties of solids, gases and liquids, steady state heat transfer, steady state heat transfer across a composite wall and a cylinder, concept of thermal resistance, critical thickness of insulation, Newtonian heat transfer, Biot Number

2. Unsteady state heat conduction, Semi-infinite and finite systems, error functions for solving heat conduction problems, Chart solutions, Finite Difference techniques, Modeling of latent heat

3. Natural and Forced Convection, Dimensional analysis for the heat transfer coefficient, correlations in convective heat transfer, heat exchangers, Significance of LMTD

4. Solidification heat transfer, Derivation of Chvorinov’s rule, Radiation heat transfer, concept of black body, radiation resistance, radiation shields, radiation in gases, Similarity Criteria in heat transfer

Module 3: (10 hours)

Mass Transfer:

1. Steady state diffusion, molar diffusivity, Fick’s Ist law of Diffusion, bulk flow, logarithmic mean of concentration difference, Ordinary and Knudsen Diffusion, Unsteady state diffusion, applications in microelectronic materials processing and homogenization heat treatment

2. Mass Transfer coefficient, mass transfer correlations, Models of Mass Transfer coefficient, Staged operations, counter current cascade, determination of number of stages