ATMW Continuum Mechanics : Principles and Applications (2018)- Speakers and Syllabus

Speaker Affiliation  No.of Lectures Detailed Syllabus
Speaker-1 PC
 Peeyush Chandra		 Rtd., IIT Kanpur 5 Fundamental principles of Continuum Mechanics
Eulerian and Lagrangian Coordinate Systems, strain and stress tensors,
Polar Decomposition Theorem, Governing differential equations of continuum
mechanics, conservation laws for the mass, momentum, energy, and momentum
moment, First and Second Laws of Thermodynamics for a Continuum; Equations
of State, Boundary Conditions; Fundamental Restrictions on Constitutive
Laws, Fundamentals of Newtonian Fluids, Inviscid and Viscous Compressible
Flow; Navier-Stokes Equations, Ideal and Rotational Flows. Transport equation etc.
Speaker- 2 PS
Pardeep Siddeshwar		 Bangalore University) 5

Convection and patterns in Hydrodynamics
Governing equations of fluid dynamics, Free forced and mixed convection. Non dimensional numbers and their physical meanings, Boussinesq approximation,
Convection heat transfer- forced and natural; Rayleigh-Benard convection Principle of exchange of stabilities, Normal mode analysis method, Lorenz and
Ginzburg-Landau models, Evaluation of convection heat transfer coefficient Nusselt number, Turbulent flow over a flat plat, Forced convection inside tubes, Heat transfecoefficient for laminar flow in a tube with constant heat flux and constant wall temperature, Basics of radiation heat transfer.
Speaker-3 AKN
A. K. Nandkumaran		 IISc, Bangalore 4 Homogenization PDE model of Continuum Mechanics
Homogenization: Homogenization of partia differential equations.
Mathematical procedure to develop Homogenization model, Examples to understand homogenization procedure in a general perspective together with applications. Some well known mathematical techniques. Homogeneous description of a highly oscillating in-homogeneous media. Some methods from- asymptotic expansion method, test function method, two scale convergence, Gamma convergence,method of unfolding and so on.
Speaker-4 SKT
S. K. Tomar		 Panjab University, Chandigarh 4 Relations and equations for elastic solid and wave propagation
Basic concepts of theory of elasticity, e.g., stress – strain and their properties, Hooke’s law and is generalization, symmetry of stress tensor, equation of equilibrium and motion, compatibility conditions, Finite deformation, Waves in uniform elastic medium, Helmholtz decomposition of vector, Body waves and their reflections/ refraction, Surface waves - Rayleigh, Love and Stoneley, Haskell matrix method for n-layered media, Radial vibrations of an elastic sphere.
Speaker-5 MDS
M. D. Sharma		 Kurukshetra University, Kurukshetra 2 Latest dynamical problems in elastic solids
Governing relations and field equations of porous elastic medium saturated with single/multiple fluids. Propagation of time harmonic waves in porous media.
Solving christoffel equation.

 

Time Table

Day 9:30- 11:00 11:00- 11:30 11:30- 1:00 1:00- 2:00 2:00- 3:30 3:30- 4:00 4:00-5:00
19- 11-18 PC Tea PC Lunch PS Tea Discussion
PC+PS
20- 11-18 PC Tea PC Lunch PS Tea SKT
21- 11-18 PS Tea SKT Lunch AKN Tea Discussion
SKT+AKN
22- 11-18 AKN Tea AKN Lunch SKT Tea MDS
23- 11-18 AKN Tea SKT Lunch PS Tea Discussion
PC+PS
24- 11-18 PS Tea PC Lunch MDS Tea Discussion
SKT+MDS

 Abbreviations used:
PC – Peeyush Chandra (Rtd., IIT Kanpur),
PS – Pardeep Siddeshwar (Bangalore University),
SKT –S. K. Tomar (Panjab University, Chandigarh),
AKN- A. K. Nandkumaran (IISc, Bangalore),
MDS – M. D. Sharma (Kurukshetra University, Kurukshetra)