Course Details
Subject {L-T-P / C} : CE6431 : Advanced Fluid Mechanics { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Anurag Sharma
Syllabus
Module 1:
Fluid Kinematics: Velocity field, Acceleration of a fluid element, Conservation of mass and momentum: continuity and momentum equation, Rotation of fluid element, Stream lines and stream function, Irrotational flow, Reynolds transport theorem.
Module 2:
Fluid Dynamics: Euler’s equation, Integration of Euler’s equation to get Bernoulli’s equation. One-dimensional Viscous Flow: Couette flow, Flow through a pipe and channel, Laminar and turbulent regimes, Navier-Stokes equations, Exact solutions for simple cases,
Module 3:
Boundary Layer: Boundary Layer Theory for low and high Viscosity, Boundary Layer thickness, Prandtl’s Equation, Momentum Integral Equation, Pressure Distribution in boundary layer, Flow over a flat plate, Flow through conduits, Momentum integral equation, Flow separation and drag
Module 4:
Ideal Flow: Ideal Fluid Flow, Circulation and Vortices, Source and sink, combining flow field by super position, combined flow field for engineering importance. Doublet in rectilinear flow and Doublet with Circulation. Flow past a cylinder curved flow and with circulation and their different combinations
Module 5:
Dimension analysis and similarities: Buckingham pi theorem, types of similarities, forces influencing hydraulic phenomenon, significance of dimensionless numbers, distorted model, and model proto type similarity law.
Course Objectives
- To provide students with a sound foundation in the mathematical, scientific and engineering fundamentals necessary to formulate, solve and analyze engineering problems in Fluid Mechanics.
- Ability to apply mass, momentum and energy conservation principles for fluid flow
- Ability to understand and apply the knowledge regarding the boundary layer theory to the real life hydraulic structures
- Understanding the application of fluid mechanics principles for practical problems
Course Outcomes
CO1: To have the basic understanding on fluid mechanics. <br />CO2: Calculate and determine the effect of boundary layer on solid body. <br />CO3: Relates the basic theory of laminar and turbulent flow with application of fluid mechanics. <br />CO4: Provides an understanding how the boundary layer characteristics affect drag force. <br />CO5: An ability to independently carry out research/ investigation and development work to solve practical problems.
Essential Reading
- F. M. White, Fluid Mechanics,, McGraw-Hill
- K. Subramanya, Theory and application of Fluid Mechanics, Tata Mc Graw hill, New Delhi
Supplementary Reading
- V.L. Streeter, Fluid Mechanics,, McGraw-Hill Book, New York.
- J.F. Douglas, J.M. Gasiorek, J.A. Swaffield, Fluid Mechanics, Person Education