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

Nondimensionalization and Simplification of the Navier-Stokes Equation, Stokes equation, Euler’s equation, Exact solutions of Navier-Stokes Equations

Unidirectional and nearly unidirectional flows, Lubrication flows, Boundary layer theory

To enhance the understanding of fluid mechanics, including the equations of motion in differential form.

To get solution of parallel and nearly parallel flows.

On successful completion of the course, the student will be able to:
1. use index notation for vector and tensor operations,
2. formulate and simplify equations of change,
3. understand the physical meaning of general equations in fluid flow phenomena, and
4. address and solve fluid flow problems in Chemical engineering.

R.L. Panton, Incompressible Flow, John Wiley & Sons , 2013

W.M. Deen, Analysis of Transport Phenomena, OUP USA , 2011

G. K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press , 2000

L. G. Leal, Advanced Transport Phenomena, Cambridge University Press , 2007