Continuum Mechanics and Transport Phenomena

By Prof.T. Renganathan | IIT Madras

Learners enrolled: 601

This is a unique course which introduces continuum mechanics and transport phenomena to the second year student. The main objective of this course is to relate the laws of physics to the conservation equations of transport phenomena. Continuum mechanics brings out the analogy between solid and fluid mechanics. Transport phenomena brings out the analogy between the transport of momentum, energy and mass.

INTENDED AUDIENCE : III or IV semester undergraduate students in Chemical Engg., Mechanical Engg., Biotechnology

PREREQUISITES : Engineering physics, I year Engineering mathematics, Chemical process principles, Engineering thermodynamics

INDUSTRY SUPPORT : Any process industry

Summary

Course Status :	Completed
Course Type :	Core
Duration :	12 weeks
Category :	Mechanical Engineering Chemical Engineering
Credit Points :	3
Level :	Undergraduate
Start Date :	29 Jul 2019
End Date :	18 Oct 2019
Exam Date :	17 Nov 2019 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

Week 1: Fluid kinematics : Eulerian vs. Lagrangian; material derivative; flow visualization; system vs. control volume; Reynolds transport theorem

Week 2: Total mass balance : integral balance and applications; differential balance and applications

Week 3: Linear momentum balance : Integral balance; calculation of force

Week 4: Stress : Traction vector, stress at a point, stress element, stress tensor; Cauchy’s formula; equality of cross shears; fluids at rest; stress in fluids

Week 5: Strain : Types and measures of deformation; displacement field, displacement gradient – 1D, 3D; relationship between strain and displacement field;
displacement gradient tensor, strain tensor, rotation tensor; fluids vs. solids; strain rate tensor

Week 6: Hooke’s law; Lame’s equation; Relationship between material properties; Newton’s law of viscosity; Navier-Stokes equation

Week 7: Pascals’s law and applications; Bernoulli equation and applications; Applications of Navier-Stokes equation - Couette flow and Poiseuille flow

Week 8: Momentum transport : Shear stress as momentum flux; Navier Stokes equation; integral energy balance and applications

Week 9: Differential balance for total energy, potential energy, kinetic energy, internal energy, enthalpy, temperature; Fourier’s law; Applications of differential
energy balance - composite walls, Couette flow

Week 10:Integral component mass balance and applications (batch reactor and CSTR); Fick’s law; total flux, diffusion flux, convection flux, different average
velocities; differential component mass balance

Week 11:Applications of differential component mass balance : Diffusion through stagnant film; diffusion with homogeneous reaction

Week 12:Shell balance in cylindrical and spherical coordinates : Liquid flow through pipe; current flow through wire; sublimation of solid; concluding remarks

Books and references

1. Cengel, Y. A. and Cimbala, J. M., Fluid Mechanics : Fundamentals and Applications, Mc Graw Hill, 2010 Solid Mechanics

2. Means, W. D., Stress and Strain, Springer-Verlag, 1976

3. Parnes, R, Solid Mechanics in Engineering, John Wiley, 2001 Transport Phenomena

4. Bird, R. B., Stewart, W. E. and Lightfoot, E. N., Transport Phenomena, John Wiley, 1960/1994 (1st Edn.) 2002 (2nd Edn.)

5. Welty,J., Wicks, C. E., Rorrer, G. L. and Wilson, R. E., Fundamentals of Momentum, Heat and Mass Transfer, 5th Edition, John Wiley, 2008

Instructor bio

Prof. T.Renganathan is a faculty in the Department of Chemical Engineering at IIT Madras. Prior to joining IIT Madras, he worked as a faculty at Anna University, Chennai. He has taught many of the core courses in chemical engineering and established two undergraduate laboratories. His areas of research include multiphase flows, microfluidics, gasification and capture of CO2. He has carried out many sponsored and consultancy projects mainly in the area of energy and environment

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 17th November 2019 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100
Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75.

If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.
Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras. It will be e-verifiable at nptel.ac.in/noc.
Only the e-certificate will be made available. Hard copies are being discontinued from July 2019 semester and will not be dispatched

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