HUNTERTUTORING

Fluid mechanics

Undergraduate · Engineering

Syllabus focus

Standard syllabus · STEM / applied

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$60.00 · 60 min · Undergraduate · Online ($60/hr)

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Topics typically covered

Standard syllabus

Fluid properties and statics

  • Density, specific weight, and specific gravity
  • Viscosity: dynamic and kinematic definitions
  • Surface tension and capillary effects
  • Pressure at a point and Pascal's law
  • Hydrostatic pressure distribution in fluids
  • Manometers and pressure measurement devices
  • Forces on plane submerged surfaces
  • Forces on curved submerged surfaces
  • Buoyancy, Archimedes' principle, and stability
  • Rigid-body acceleration of fluid containers

Integral analysis and pipe flow

  • System versus control volume formulations
  • Conservation of mass for control volumes
  • Linear momentum equation and force on CV
  • Angular momentum equation for turbomachinery
  • Bernoulli equation assumptions and applications
  • Energy grade line and hydraulic grade line
  • Major losses: Darcy-Weisbach and Moody chart
  • Minor losses: fittings, valves, and expansions
  • Laminar versus turbulent flow in pipes
  • Reynolds number and flow regime transitions

STEM / applied

External flow and turbomachinery

  • Drag and lift on immersed bodies (intro)
  • Boundary layer concepts and separation
  • Flow over flat plates and cylinders (qualitative)
  • Open-channel flow: uniform depth and Froude number
  • Pumps: system curves and operating points
  • Turbines: impulse and reaction types
  • Dimensional analysis and Buckingham Pi theorem
  • Similitude and model testing principles
  • CFD workflow overview for external flows
  • Lab: venturi meters, orifice plates, and pump tests

Multiphysics and design applications

  • Compressible flow intro: Mach number effects
  • Aerodynamic forces in vehicle and wing design
  • HVAC duct design and fan selection
  • Hydraulic circuit design for mobile equipment
  • Blood flow and biofluid mechanics (survey)
  • Environmental flows: rivers and mixing (intro)
  • FE fluids topic alignment and problem sets
  • MATLAB/Python for pipe network iteration
  • Failure case studies: cavitation and water hammer
  • Capstone fluid system sizing project elements

Notes

Topics reflect common engineering syllabi at US colleges and universities. Exact order, depth, and applied emphasis vary by institution, department, and instructor.