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ME 412 - Numerical Thermo-Fluid Mechs

Spring 2021

Official Description

Numerical techniques for solving the equations governing conduction and convective heat transfer in steady and unsteady fluid flows: finite-difference and finite-volume techniques, basic algorithms, and applications to real-world fluid-flow and heat-transfer problems. Course Information: Same as CSE 412. 2 or 3 undergraduate hours. 3 or 4 graduate hours. Prerequisite: ME 310 OR TAM 335; ME 320.

Detailed Course Description

Numerical techniques for the solution of the equations governing conduction and convective heat transfer in steady and unsteady fluid flows: finite-difference and finite-volume techniques, basic algorithms and applications to real-world fluid-flow and heat-transfer problems. Prerequisite: ME 310 and ME 320; or equivalents; or consent of instructor. 3 undergraduate hours or 3 or 4 graduate hours. For graduate hour credit, graduate students are required to complete an additional project.

TOPICS:

1. Introduction, role of numerical solutions

2. Preliminary topics (error, stability, and convergence)

3. One-dimensional steady heat conduction

4. One-dimensional unsteady heat conduction

5. Steady 2D heat conduction; iterative and direct methods

6. 2D unsteady heat conduction

7. Heat conduction in complex geometries

8. Fully-developed flow in complex ducts

9. 1D and 2D linear convection equation

10. Nonlinear convection equation

11. Derivation of Navier-Stokes equations

12. 2D unsteady fluid flows

13. 2D steady flows

14. 3D Duct flows

15. Concluding remarks, recent advances

ME: MechSE or technical elective.

EM: Possible secondary field, with approval.

TitleSectionCRNTypeHoursTimesDaysLocationInstructor
Numerical Thermo-Fluid MechsF261260OLC21300 - 1350 M W F    Surya Pratap Vanka
Numerical Thermo-Fluid MechsF337444OLC31300 - 1350 M W F    Surya Pratap Vanka
Numerical Thermo-Fluid MechsF437447OLC41300 - 1350 M W F    Surya Pratap Vanka