Syllabus

JNTUK B. Tech Boundary Layer Theory for R13 Batch.

JNTUK B.Tech Boundary Layer Theory gives you detail information of Boundary Layer Theory R13 syllabus It will be help full to understand you complete curriculum of the year.

Course Objective

This course is designed to give graduate students more in-depth understanding and experience of the fundamentals and practical solutions of viscous dominated flows in general and boundary layer theory in particular. In addition, approximate solutions methods are explored along with introductions to turbulence and boundary layer control.

UNIT – I : Basic Laws: Basic laws of fluid flow – Continuity, momentum and energy equations as applied to system and control volume – Concept of flow fields.
Fundamentals Of Boundary Layer Theory: Viscous fluid flow – Boundary conditions – Development of boundary layer – Estimation of boundary layer thickness – Displacement thickness, momentum and energy thickness for two-dimensional flows. General stress system in a deformable body – General strain system.

UNIT – II : Navier Stokes Equation: Relation between stress and strain system in a solid body (Hooke’s Law) – Relation between stress and strain rate system in liquids and gases (Stroke’s Law) – The Navier – Strokes Equation (N-S) – General properties of Navier – Stokes Equation.

UNIT- III : Exact Solution Of N-S Equation: Two dimensional flow through a straight channel, Hagen –Poiseulle flow – Suddenly accelerated plane wall – Flow near a rotating disk – Very slow motion: Parallel flow past a sphere.

UNIT – IV : Laminar Boundary Layer: Analysis of flow past a flat plate and a cylinder – Integral relation of Karman – Integral analysis of energy equation – Laminar boundary layer equations – Flow separation – Blasius solution for flat–plate flow – Boundary layer temperature profiles for constant plate temperature.
Boundary Layer Methods: Falkner Skan Wedge flows – Integral equation of Boundary layer – Pohlhausen method – Thermal boundary calculations – One parameter and two parameter integral methods.

UNIT – V : Incompressible Turbulent Mean Flow: Two-dimensional turbulent boundary layer equations – Integral relations – Eddyviscosity theories – Velocity profiles.

UNIT – VI : Compressible – Boundary Layer Flow: The law of the wall – The law of the wake – Turbulent flow in pipes and channels – Turbulent boundary on a flat plate – Boundary layers with pressure gradient.

TEXT BOOKS

  • “Turbulent Flows in Engineering”, Reynolds AJ, John Wiley & Sons, 1980
  • “Incompressible Flow”, Panton RL, John Wiley & Sons, 1984

REFERENCE BOOKS

  • “Boundary Layer Theory”, Schlichting H, McGraw Hill, New York, 1979
  • “Viscous fluid Flow”, White FM, McGraw Hill Co. Inc., NY, 1991, 2nd Edition
  • “Fundamentals of Aerodynamics”, Anderson JD, McGraw Hill Book Co., Inc., NY, 2001, 3rd Edition.

Course Outcomes
Upon completion of this course students are expected to

  • Formulate low Reynolds number flow approximation equations to a variety of flow geometries and conditions.
  • Solve for velocity and pressure fields within a viscous flow subjected to steady and transient conditions.
  • Formulate boundary layer approximations and understand the differential and integral solution methods for boundary layer analysis
  • Predict flow separation conditions in external flow environments and develop concepts for flow control.

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