Details of PH5103 (Autumn 2014)

Level: 5 Type: Theory Credits: 3.0

Course CodeCourse NameInstructor(s)
PH5103 Elasticity and Continuum Mechanics Rajesh Kumble Nayak

Syllabus
Elasticity, Basic ideas about fluid motion. Dimensional analysis and dynamical similarity. Qualitative discussion of instabilities and turbulence. The Euler fluid. The convective derivative and Euler's equation of fluid flow. Bernoullie's theorem. Flow measuring instruments. Gravity waves in a shallow fluid. The Coanda effect. Potential flow and Laplace's equation for fluids. Kelvin's circulation theorem. Analytic solutions of Laplace's equation in some simple cases. Magnus effect. Motion in two dimensions. Effect of uniform flow on immersed bodies. Joukowski's theorem. Infinite span airwings. Waves in fluids. Propagation of wave groups in one dimension. Gravity waves, ripples and surface waves. Viscous fluids. Shear stresses in Newtonian fluids. Poiseuille's law. Stress tensor. The Navier-Stokes equation. Laminar flow of a viscous fluid around a solid sphere and a solid cylinder. Boundary layer approximation. Flow past a flat plate. Basic notions of turbulent flow. Statistical description. Mean flow equations. Energy cascades and the Kolmogorov hypothesis. An introduction to numerical simulation methods.

References
References: G. Backus, Continuum Mechanics, Samizdat Press.

Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 1 Not Allowed
2 IP 3 Not Allowed
3 MR 1 Not Allowed
4 MR 3 Not Allowed
5 MS 9 Elective
6 RS 1 Not Allowed
7 RS 2 Not Allowed