ME 19
Fluid Mechanics

Course Outline

• Introduction to fluid flow, fluid properties and state variables. Viscosity and Couette flow.
• Fluid statics, atmospheres, oceans, ship hydrostatics.
• Surface tension, contact angle, capillarity.
• Lagrangian and Eulerian descriptions of flow and time derivatives, streamlines, streaklines, pathlines, kinematics of flow.
• Macroscopic, differential and integral continuity equations, stream function.
• Kinematics, rate of deformation, dilation, vorticity.
• Euler's equations, irrotational flow, velocity potential, Bernoulli's equation, steady and unsteady.
• Bernoulli's equation and modifications for real flows, loss coefficients, friction factor, analysis of piping systems, pumps, turbines, measurements methods.
• Potential flow. Water waves. Sources, sinks, doublets, vortices and construction of flows by superposition. D'Alembert's paradox.
• Numerical solutions of potential flow. Finite differences.
• Transport thereom. Momentum thereoms and macroscopic applications to jet engines, rockets, etc.

• General equations of motion for a viscous fluid, stress tensor, constitutive law for a viscous fluid, Navier-Stokes equations, Reynolds number, boundary conditions for fluid flow.
• Exact solutions of Navier-Stokes equations, Couette flow, Poiseuille flow, pipe flow, Rayleigh flows.
• Vorticity transport equation and boundary layers.
• Boundary layers, laminar boundary layer properties and characteristics. Blasius solution, Falkner-Skan solutions, boundary layer separation.
• Karman momentum integral equation and approximate boundary layer methods.
• Boundary layer stability, transition to turbulence, turbulent flow models, Reynolds stresses, Prandtl mixing length models.
• Turbulent pipe flows and boundary layers on smooth and rough surfaces.
• Overviews of flows around bodies, drag, lift and propulsion. Fluid mechanics of sport. Flight and propulsion in nature.