**AO4075 Theory of Boundary Layers Syllabus:**

AO4075 Theory of Boundary Layers Syllabus – Anna University PG Syllabus Regulation 2021

**COURSE OBJECTIVES:**

1. This course imparts knowledge to students on growth of boundary layer and its effect on the aerodynamic design of airframe of flight vehicles.

2. This course will introduce them the solution methods for boundary layer problems.

3. This course enables the students to understand the importance of viscosity and boundary layer in fluidflow.

4. This course also introduces the theory behind laminar and turbulent boundary layers.

5. This course will make students to learn the concepts of boundary layer transition and separation.

**UNIT I THEORY OF VISCOUS FLOW**

Fundamental equations of viscous flow, Conservation of mass, Conservation of Momentum Navier-Stokes equations, Energy equation, Mathematical character of basic equations, Dimensional parameters in viscous flow, Non-dimensionalising the basic equations and boundary conditions, vorticity considerations, creeping flow, boundary layer flow.

**UNIT II INCOMPRESSIBLE VISCOUS FLOWS AND BOUNDARY LAYER**

Solutions of viscous flow equations, Couette flows, Hagen-Poisuelle flow, Flow between rotating concentric cylinders, Combined Couette-Poiseuille Flow between parallel plates, Creeping motion, Stokes solution for an immersed sphere, Development of boundary layer, Displacement thickness, momentum and energy thickness.

**UNIT III LAMINAR BOUNDARY LAYER THEORY**

Laminar boundary layer equations, Flat plate Integral analysis of Karman – Integral analysis of energy equation – Laminar boundary layer equations – boundary layer over a curved body-Flow separation- similarity solutions, Blasius solution for flat-plate flow, Falkner–Skan wedge flows, Boundary layer temperature profiles for constant plate temperature –Reynold’s analogy, Integral equation of Boundary layer – Pohlhausen method – Thermal boundary layer calculations.

**UNIT IV THEORY OF TURBULENT BOUNDARY LAYER**

Turbulence-physical and mathematical description, Two-dimensional turbulent boundary layer equations –– Velocity profiles – The law of the wall – The law of the wake – Turbulent flow in pipes and channels – Turbulent boundary layer on a flat plate – Boundary layers with pressure gradient, Eddy Viscosity, mixing length , Turbulence modelling.

**UNIT V BOUNDARY LAYER TRANSITION AND SEPARATION**

Boundary layer control in laminar flow-Methods of Boundary layer control: Motion of the solid wallAcceleration of the boundary layer-Suction- Injection of different gas-Prevention of transitionCooling of the wall-Boundary layer suction-Injection of a different gas.

**TOTAL: 45 PERIODS**

**COURSE OUTCOMES:**

Upon completion of this course, students will be able

CO1: To apply proper governing equations for various types of viscous flows in engineering applications.

CO2: To obtain solutions for various viscous flow problems in engineering.

CO3: To estimate skin friction over solid surfaces, over which laminar boundary layer persists.

CO4: To arrive at the solutions for turbulent boundary layer and the resulting drag.

CO5: To gain insights on the techniques for boundary layer control.

**REFERENCES:**

1. White, F. M., Viscous Fluid Flow, McGraw-Hill & Co., Inc., New York, 2008.

2. Schlicting, H., Boundary Layer Theory, McGraw-Hill, New York, 1979.

3. Reynolds, A, J., Turbulent Flows Engineering, John Wiley and Sons, 1980.