Course Details
Subject {L-T-P / C} : CH6101 : Advanced Fluid Dynamics { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Akhilesh Kumar Sahu
Syllabus
Definition and properties of Fluids, Continuum approximation Vector algebra and calculus, Index notation, Cylindrical and spherical coordinates, fundamental theorems of calculus: gauss divergence theorem, Stokes theorem Lagrangian and Eulerian viewpoint, Substantial derivative, Fluid kinematics: Decomposition of Motion General conservation equation, Conservation of mass, Conservation of linear and angular momentum, Reynolds transport theorem Pressure, Stress tensor, rate of deformation tensor, Navier-Stokes equation, Boundary conditions Dimensional analysis, Approximate forms of Navier-Stokes equation, Stokes equation, Euler’s eqution, Exact solutions of Navier-Stokes Equations: Couette flows, Poiseuille flows, Fully developed flows in noncircular cross-sections, Unsteady flows, Creeping flows Unidirectional and nearly unidirectional flows, Lubrication flows, Boundary layer theory.
Course Objectives
- To enhance the understanding of fluid mechanics, including the equations of motion in differential form.
- To get solution of parallel and nearly parallel flows.
Course Outcomes
On successful completion of the course, the student will be able to: <br />1. use index notation for vector and tensor operations, <br />2. formulate and simplify equations of change, <br />3. understand the physical meaning of general equations in fluid flow phenomena, and <br />4. address and solve fluid flow problems in Chemical engineering.
Essential Reading
- R.L. Panton, Incompressible Flow, John Wiley & Sons , 2013
- W.M. Deen, Analysis of Transport Phenomena, OUP USA , 2011
Supplementary Reading
- G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press , 2000
- L. G. Leal, Advanced Transport Phenomena, Cambridge University Press , 2007