M E 421
Viscous Flow Analysis and Computation (3) Apply analytical and computational methods to solve the differential equations describing fluid flow. Incompressible external flows past objects and internal flows in pipes and ducts are some problems considered.
M E 421 Viscous Flow Analysis and Computation (3)
M E 421 is an intermediate course in fluids mechanics that bridges between the required undergraduate fluid mechanics course and the graduate fluid mechanics courses. Steady and unsteady flows are considered past objects and in pipes, ducts, and annuli. Analytical and numerical methods are used to solve the boundary layer and Navier-Stokes equations that describe fluid motion. Analytical methods include solutions for steady and unsteady internal flows with heat transfer. Similarity equations for boundary layer flows are derived and then solved numerically using the Runge-Kutta method. Finite difference methods for viscous flows are introduced and applied. Turbulence modeling is presented and applied in a boundary layer code. The stages of transition from laminar to turbulent flow and methods for the prediction of transition are introduced.
Topics in M E 421 include:
1. Analytical solutions for one-dimensional viscous flows in Cartesian and cylindrical coordinates with heat transfer.
2. Unsteady viscous flow solutions using Separation of Variables.
3. Boundary layer similarity solutions using the Runge-Kutta method.
4. Panel method for incompressible inviscid flows.
5. Finite-differenced equations for viscous flows and the accuracy and stability of the schemes.
6. Using a commercial CFD code for a simple geometry.
7. Algebraic turbulence models and the approximations of each.
8. Higher-order turbulence models and the approximations used.
9. Stages of transition from laminar to turbulent flow.
10. Methods to predict boundary layer stability and transition.
General Education: None
Bachelor of Arts: None
Effective: Spring 2011
Prerequisite: M E 201, M E 320, AERSP 308, AERSP 311 orC E 361;CMPSC 200 orCMPSC 201 orCMPSC 202;MATH 220;MATH 250 orMATH 251
Note : Class size, frequency of offering, and evaluation methods will vary by location and instructor. For these details check the specific course syllabus.