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The exhaustive list of topics in Fluid Mechanics in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Cartesian Tensors:
  • Index Notation, Introduction of Cartesian Tensor, Algebra of Tensors, Tensor fields, Integral Theorems.
  • Conservation Equations:
  • Properties of fluids, Kinematics, Constitutive equations, Integral and differential form of conservation laws, dimensional analysis.
  • Incompressible Inviscid Flow:
  • Vorticity dynamics, Bernoulli equation, Irrotational flow: potential flow theory, superposition of solutions, complex potential.
  • Incompressible Viscous Flow:
  • Exact solutions of Navier-Stokes equations, Low Reynolds number flow.
  • Boundary layer theory.
  • Non-Newtonian Flow.
  • Compressible Flow:
  • One-dimensional gas dynamics, Normal shock wave, Method of characteristics.
  • Hydrodynamic Stability:
  • Method of normal modes, Applications.
  • Turbulent Flow:
  • Method of averaging, Reynolds Stress, Equations of motion, Fully developed channel flow, Turbulence models.