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

  1. To enhance the understanding of fluid mechanics, including the equations of motion in differential form.
  2. To get solution of parallel and nearly parallel flows.

Course Outcomes

The course is intended to provide students with the following benefits:
1. Ability to derive governing equations for momentum transport
2. Understanding the physical meaning of general equations in fluid flow phenomena
3. Ability to address problems in Chemical engineering, and to solve the problems.

Essential Reading

  1. R.L. Panton, Incompressible Flow, John Wiley & Sons , 2013
  2. W.M. Deen, Analysis of Transport Phenomena, OUP USA , 2011

Supplementary Reading

  1. G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press , 2000
  2. L. G. Leal, Advanced Transport Phenomena, Cambridge University Press , 2007