The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

Erian A. Baskharone is Professor Emeritus of Mechanical and Aerospace Engineering at Texas A&M University. He is a member of the ASME Turbomachinery Executive Committee. Dr Baskharone was a Senior Engineer with Allied-Signal Corporation, responsible for the aerothermodynamic design of various turbofan and turboprop engines. His research covered a wide spectrum of turbomachinery topics including the unsteady stator/roto flow interaction and the fluid-induced vibration of the Space Shuttle Main Engine turbopumps. His finite-element based perturbation approach to the problem of turbomachinery fluid-induced vibration is well known. At Texas A&M, he received the General Dynamics Award of Excellence in Engineering teaching (1991) and the Amoco Foundation Award for Distinguished Teaching (1992). He is the author of Principles of Turbomachinery in Air-Breathing Engines (Cambridge University Press, 2006) and Thermal Science: Essentials of Thermodynamics, Fluid Mechanics and Heat Transfer (2012).

1. The finite element method: introductory remarks; 2. Some methods for solving continuum problems; 3. Variational approach; 4. Requirements for the interpolation functions; 5. Heat transfer applications; 6. One-dimensional steady-state problems; 7. The two-dimensional heat conduction problem; 8. Three-dimensional heat conduction applications; 9. One-dimensional transient problems; 10. Fluid mechanics finite-element applications; 11. Use of nodeless degrees of freedom; 12. Finite element analysis in curvilinear coordinates; 13. Finite element modeling in annular passages; 14. Extracting the F.E. domain from a larger flow system; 15. Finite element application to unsteady flow problems; 16. F.E.-based perturbation approach to unsteady flows.