__ME-574 FLUID DYNAMICS__

Credit Hours = 3

**COURSE CONTENT**

**Introduction:**Reynolds transport theorem, Conservation of mass equation, Navier Stokes equation, Energy equation, Dimensionless form of governing equations, Vorticity transport equation**Exact solutions of Navier Stokes equation:**Fully developed flow in a parallel channel and a pipe, Unsteady flow in a tube, Couette flow, steady and unsteady external flows.**Potential theory:**Irrotational flow, stream function / velocity potential approach, examples of potential flow: uniform flow, source, sink and vortex flow, airfoil theory, types of airfoils.**Laminar boundary layer and hydrodynamic stability:**Blasius flow over a flat plate, Momentum integral equations, Separation of boundary layer, Separation and vortex shedding, flow stability, Tollmien Schlichting waves.**Turbulence:**Length scales, spectrums, Energy cascade, Computations of turbulence, RANS, LES and DNS, RANS based models.**Computational Fluid Dynamics:**Classification and application of partial differential equations: elliptic, parabolic and hyperbolic partial differential equations.**Numerical solution methods:**Explicit and implicit methods, Upwind differencing, Power law and hybrid differencing; QUICK scheme, SIMPLE and SIMPLEC algorithm.- Truncation errors, Round-off errors, Aliasing errors, Verification and validation.
**Implementation of boundary conditions:**Numerical treatment of Dirichlet, Nuemann, and mixed type boundary conditions.- Use of CFD software.

**RECOMMENDED BOOKS**

*(01) Advanced Fluid Mechanics by W. Graebel*

*(02) Fluid Mechanics by J. Spurk, N. Aksel*

*(03) Fluid Dynamics: Theory, Computation, and Numerical Simulation by C. Pozrikidis*

*(04) An Introduction to Computational Fluid Dynamics: The Finite Volume Method by H. Versteeg & W. Malalasekera*