ME-574 Fluid Dynamics


Credit Hours = 3


  • 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.


(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