Course

Module-1

Introduction: Ideal and real fluids, Boundary-Layer concept, Laminar boundary layer, turbulent boundary layer, Separation of boundary layer, Navier- Stokes equations, Laminar Boundary Layer Equation : Two dimensional equations, displacement and momentum thickness, general properties of the boundary layer equations, wall friction, drag and lift.

Module-2

Boundary layer on an airfoil. Boundary layer control, Continuous suction and blowing. Solution of the boundary layer equation (Plane flows): Similarity Solutions, Boundary layer with and without outer flow, moving plate, Wedge flow, Free jet, Flows in straight channel. Approximate Methods, Momentum-Integral methods. Numerical integration of boundary layer equations.

Module-3

Turbulent Boundary Layer: Mean motion and fluctuations, Equations for turbulent flows, Prandtl’s mixing layer Karman’s hypothesis. Thermal Boundary Layers: Effect of Prandtl Number, Similar solution of thermal boundary layer, Integral method for computing heat transfer, Coupling of the velocity field to the temperature field. Boundary layer in non-Newtonian flows, Boundary layer in Magnetohydro dynamics.
Separation in adverse pressure gradients. Concept of and occurrence in steady flows, and at rear stagnation point of impulsively started cylinder. Form of skin friction near separation point : Gold steins ingularity.
Introduction to interactive boundary layers. Goldstein near wake. Trailing-edge triple deck.

• CO1 : Understand the concept of hydro dynamic boundary layer and derive the boundary layer equations.
• CO2 : Identify the effective method for boundary layer control and apply the appropriate method for optimized design.
• CO3 : Understand the concept of thermal boundary layer and its control.

• Schlichting, H. and Gersten, K., Boundary Layer Theory, Springer-Verlag,2004
• White, F.M.,Viscous Flow, 3^rd, Mc GrawHill.2005
• A.Oleinik and V.M. Samokhin, Mathematical Models in Boundary Layer Theory, CRC Press,1999
• Cebeci,T. and Cousteix, J., Modeling and Computation of Boundary-Layer Flows, 2^nd, Springer-Verlag.2005
• Rozenhead, L., Laminar Boundary Layers,Dover Publications,1988
• Kays,W.M.,Crawford,M.E., and Weig and, B., Convective Heat and Mass Transfer, 4^th,Mc Graw Hill. 2004