Fluid Mechanics

Meinhard Taher Schobeiri, Ph.D., is Professor of Mechanical Engineering at Texas A&M University in College Station, where he studies fluid flow within turbomachinery components, behavior of turbomachinery systems, turbine performance, aerodynamics, heat transfer, and thermodynamics. Dr. Schobeiri is received his B.S., M.S., and Ph.D. degrees from the Technical University Darmstadt in Germany, later joining the Department of Mechanical Engineering to establish two gas turbine research areas at Texas A&M University. He also worked for the Brown Boveri Gas Turbine Division in Switzerland, where he headed R&D for high efficiency gas turbine engines. Dr. Schobeiri holds a number of external grants and contracts, has won the Alexander von Humboldt Research Award (2000), and is a TAMU Faculty Fellow (2001) and TEES Fellow (1998).

1 The Concept of Continuum and Kinematics.- 1.2 Kinematics.- 2 Fundamental Laws of Continuum Mechanics.- 2.1 Conservation of Mass, Equation of Continuity.- 2.2 Balance of Momentum.- 2.3 Balance of Angular Momentum.- 2.4 Momentum and Angular Momentum in an Accelerating Frame.- 2.5 Applications to Turbomachines.- 2.6 Conservation of Energy.- 3 Constitutive equations.- Problem 3-1 Velocity of a raft.- Problem 3-2 Energy balance in a journal bearing.- Problem 3-3 Pressure driven flow of paper pulp.- Problem 3-4 Flow of a non-Newtonian fluid.- Problem 3-5 Extensional flow.- 4 Equation of Motion for Particular Fluids.- 4.1 Newtonian Fluids.- 4.2 Inviscid flow.- 4.3 Initial and Boundary Conditions.- 5 Hydrostatics.- 5.1 Hydrostatic Pressure Distribution.- 5.2 Hydrostatic Lift, Force on Walls.- 6 Laminar Unidirectional Flow.- Problem 6-1 Flow in an annular gap.- Problem 6-2 Crude oil transport through pipeline.- Problem 6-3 Oscillating pipe flow.- Problem 6-4 Comparison of a Couette-Poiseuille flow of a Newtonian fluid, a Stokes fluid, and a Bingham material.- 7 Fundamentals of Turbulent Flows.- Problem 7-1 Turbulent Couette flow.- Problem 7-2 Velocity distribution in turbulent Couette flow with given Reynolds number.- Problem 7-3 Turbulent pipe flow.- Problem 7-4 Crystal growth on pipe walls.- Problem 7-5 Comparison of momentum and energy flux in laminar and turbulent flow in a pipe.- Problem 7-6 Velocity distribution in a turbulent pipe flow resulting from the Blasius friction law.- Problem 7-7 Location of a pipe leakage.- Problem 7-8 Cooling of superheated steam by water injection.- 8 Hydrodynamic Lubrication.- Problem 8-1 Bearing with step slider.- Problem 8-2 Friction torque transmitted by the shaft to the journal.- Problem 8-3 Slider load in squeeze flow: Comparison between different slider geometries.- 9 Stream filament theory.- 9.1 Incompressible Flow.- 9.2 Steady Compressible Flow.- 9.3 Unsteady Compressible Flow.- 10 Potential Flow.- 10.3 Incompressible Potential Flow.- 10.4 Plane Potential Flow.- 11 Supersonic Flow.- 11.1 Oblique Shock Waves.- 11.3 Reflection of Oblique Shock Waves.- 11.5 Prandtl-Meyer Flow.- 11.6 Shock Expansion Theory.- 12 Boundary Layer Theory.- Problem 12-1 Boundary layer momentum equation.- Problem 12-2 Flow over a wedge.- Problem 12-3 Diffuser with discontinuous change of the cross-section.- Problem 12-4 Drag coefficient of a diamond airfoil.