CAE355 Boundary Layer Theory Syllabus:
CAE355 Boundary Layer Theory Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
Of this course are
• To acquaint students with the fundamental concepts in boundary layer flow and with the governing equations of viscous flow
• To make students familiarize with obtaining analytical solutions for low speed viscous flow problems commonly found in engineering applications
• To introduce the basic concepts in laminar boundary layer theory and its applications in engineering to students
• To elucidate students on the complex phenomenon in turbulent boundary layer theory and turbulence modelling
• To make students knowledgeable on the techniques used for boundary layer control.
UNIT I FUNDAMENTAL EQUATIONS 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 – dimensionlisation the basic equations and boundary conditions, vorticity considerations, creeping flow and boundary layer flow.
UNIT II SOLUTIONS OF VISCOUS FLOW EQUATIONS
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
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 – Pohlhausen method.
UNIT IV 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 and mixing length.
UNIT V BOUNDARY LAYER CONTROL
Boundary layer control in laminar flow-Methods of Boundary layer control: Acceleration of the boundary layer-Suction- Injection of a different gas-Prevention of transition – Cooling of the wall Boundary layer suction- Practical examples of Boundary Layer Control.
TOTAL: 45 PERIODS
COURSE OUTCOMES:
Upon completion of this course, Students will be able to
CO1: Apply fundamental equations of the viscous flow for practical examples.
CO2: Analyze the viscous flow problems for solutions.
CO3: Explain the importance of viscosity and shear flow adjacent to the airframe of the aerospace vehicles.
CO4: Build an understanding about the laminar boundary layer concepts and solution methods.
CO5: Illustration about the importance of turbulence boundary layer in an aerospace engineering problem.
TEXT BOOK:
1. White, F. M., Viscous Fluid Flow, McGraw-Hill Education; 3rd edition, 2005.
REFERENCES:
1. A.J. Reynolds, “Turbulent flows in Engineering”, John Wiley & Sons, 1980.
2. Frank White – Viscous Fluid flow – McGraw Hill, 1998
3. H. Schlichting, “Boundary Layer Theory”, McGraw-Hill, New York, 1979.
4. Ronald L., Panton, “Incompressible fluid flow”, John Wiley & Sons, 1984.
5. Tuncer Cebeci and Peter Bradshaw, “Momentum transfer in boundary layers”, Hemisphere Publishing Corporation, 1977