HUNTERTUTORING

Standard syllabus

Fluid mechanics · Undergraduate · Physics

Topics

Statics and kinematics

  • Pressure, buoyancy, and manometry
  • Hydrostatic forces on submerged surfaces
  • Streamlines, pathlines, and material derivative
  • Conservation of mass and continuity equation
  • Euler equations for inviscid flow

Viscous flow

  • Navier–Stokes equations (Cartesian form)
  • Poiseuille flow and Couette flow
  • Reynolds number and flow regimes
  • Boundary layers and separation
  • Drag, lift, and Bernoulli applications

Advanced topics

  • Vorticity and circulation; Kelvin's theorem
  • Compressible flow and Mach number (intro)
  • Turbulence phenomenology
  • Surface waves and shallow-water equations
  • Dimensional analysis and similitude

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