# ENGRMAE 130B Introduction to Viscous and Compressible Flows (2011-2012)

#### ENGRMAE 130B Introduction to Viscous and Compressible Flows

**ENGRMAE 130B Introduction to Viscous and Compressible Flows (Credit Units: 4)** Introduction to the analysis of viscous flows including fully developed laminar and turbulent flow in a pipe, viscous flow over immersed bodies, evaluation of boundary layer characteristics, lift and drag, compressible flow in a duct and normal shock waves. Prerequisite: Mathematics 2D, Physics 7C, and MAE91 each with a grade of C- or better; MAE130A. (Design units: 1)

Course Web Page: http://supersonic.eng.uci.edu/mae130b

1. Demonstrate the ability to apply mathematical skills to analyze laminar and turbulent internal and external flows (EAC a, EAC-9 ME-2)

2. Demonstrate an understanding of the effect of viscosity on fluid near solid surfaces (EAC e)

3. Demonstrate an understanding of how lift and drag are generated on immersed objects and the effect of list and drag on those objects. (EAC e)

4. Demonstrate an understanding of basic concepts as applied to compressible flows. (EAC a)

5. Demonstrate the ability to solve open ended design problems (EAC c, EAC-9 ME-4)

- Fundamentals of Newtonian Mechanics
- Calculus and Differential Analysis
- Control Volume Analysis
- Fundamentals of Thermodynamics

- Review of mass, momentum, and energy equations. Bernoulli’s equation, vorticity, streamfunction, velocity potential.
- The origin of viscous effects. Stress-deformation relationships
- Laminar Flow: Couette and Poiseuille flow.
- Viscous flow in pipes: laminar or turbulent flow, entrance region and fully developed flow, pressure and shear stresses.
- Boundary layer characteristics: boundary layer structure and thickness on a flat plate, Prandtl/Blasius boundary layer solution, transition to turbulent flow.
- Flow over immersed bodies: lift and drag concepts, friction and pressure drag, surface pressure distribution and circulation.
- Review of 1st and 2nd laws of thermodynamics, ideal gas relationships, Mach number and speed of sound.
- Isentropic flow of an ideal gas: effect of variations in flow cross-section area, converging-diverging duct flow.
- Nonisentropic flow of an ideal gas: adiabatic constant-area duct flow with friction, frictionless constant-area duct flow with heat transfer, normal shock waves.

Meets for 4 hours of lecture and 1 hour of discussion each week for 10 weeks.

Computer usage for both analysis and presentation is required. Spreadsheet analysis, programming in Fortran, C, or usage of commercial packages such as Matlab or Mathematica are used during design testing and plotting of data results. Word processing software is used for report writing. In general, students will use the computer tools learned in previous courses (e.g., Matlab, Excel,, MathCad, etc.)

Contributes toward the Mechanical Engineering Topics courses and Major design experience. Contributes toward the Aerospace Engineering Topics courses and Major design experience.

One design project exercise is assigned during the quarter in addition to homework problems oriented towards design. Such problems are open-ended problems and in some cases under-constrained or require cost optimization. Each design problem builds or is based on engineering analysis presented in the preceding lectures. The design exercise includes not only the analysis which leads to the final design but also a written report which describes the analysis procedure and presents the results of the analysis.

- Homework: 20%
- Design Project: 20%
- Midterm: 30%
- Final Exam: 30%
- Total: 100%

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 4.0 credit units

Engineering Science: 3.0 credit units

Engineering Design: 1.0 credit units