This class provides students with an introduction to principal concepts and methods of fluid mechanics. Topics covered in the course include pressure, hydrostatics, and buoy- ancy; open systems and control volume analysis; mass conservation and momentum conservation for moving fluids; viscous fluid flows, flow through pipes; dimensional analysis; boundary layers, and lift and drag on objects. Students will work to formulate the models necessary to study, analyze, and design fluid systems through the application of these concepts, and to develop the problem-solving skills essential to good engineering practice of fluid mechanics in practical applications.

1.Thermodynamics (MECH250).
2.Elementary ordinary differential equation (MATH130).

There will be two closed-book midterm exams (40% (20%+ 20%)) and a closed- book final exam (30%). Attendance at regular classes will not be checked. However, three-to-five 10-minute quiz sessions (10%) will be held randomly without a priori notice and a failure taking the quiz will result in reduction of grade points per quiz in lieu of the attendance check (10%). There will be homework sets, but they will not be collected. Instead, about 70% of the problems in the exams and quizzes will be selected from the homework sets. The remaining 10% of your grade will be determined by reports on experiments which will be provided as a part of the schedule of the course.

• “Fundamental of Fluid Mechanics” by Bruce R. Munson et al.
• “Fox and McDonald’s Introduction to Fluid Mechanics” by Philip J. Prichard
• “Fluid Flow: A First Course in Fluid Mechanics” by Rolf H. Sabersky et al.

Topics

• Introduction: Concept of a fluid. Fluid as a continuum, Thermodynamic properties of a fluid, Viscosity, Flow kinematics
• Pressure distribution in a fluid: Pressure and pressure gradient, Hydrostatics, Manome- try, Buoyancy and stability, Rigid-body motion
• Integral relations for a control volume: Basic laws of fluid mechanics, The Reynolds transport theorem, Conservation of mass, The Bernoulli equation, Momentum conservation, Energy conservation
• Differential relations for fluid flow: Acceleration of a fluid, Differential equations of mass conservation, momentum conservation, and energy conservation, Boundary conditions, Stream function, Vorticity, Irrotationality, The Navier-Stokes equations
• Dimensional analysis and similarity: Dimensional homogeneity, Pi theorem, Nondimen- sionalization of the basic equations, Modeling
• Viscous flow in ducts: Reynolds number regimens, Friction factor, Laminar fully developed pipe flow, Turbulence modeling, Turbulent pipe flow, Flow in noncircular ducts, Minor or local losses, Multiple-pipe systems
• Flow past immersed bodies: Reynolds number and geometry effects, Momentum integral estimates, The boundary layer equations, Flat-plate boundary layer, Pressure gradient effects
• Potential flow: Elementary plane flow solutions, Superposition, Plane flow past closed-body shapes, Images

Lectures: M 14:00-15:15, W 14:00-15:15 Science Building V, Room 108.
Recitations: To be announced.
Experiments: To be announced.