The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

This textbook begins with the finite element method (FEM) before focusing on FEM in heat transfer and fluid mechanics.

Erian A. Baskharone (Author)

9781107039810, Cambridge University Press

Hardback, published 16 September 2013

387 pages, 211 b/w illus. 5 tables
26.1 x 18.5 x 2.7 cm, 1 kg

Intended for advanced undergraduate and graduate students, the first four chapters of this book are devoted to the introduction of the finite element concept. The focus then covers two essential areas - heat transfer and fluid mechanics: topics with different finite element formulations. Heat transfer applications begin with the classical one-dimensional thin-rod problem, followed by the two-dimensional heat transfer problem including a variety of boundary conditions. Finally, a complicated-geometry three-dimensional problem, involving a cooled radial turbine rotor, is presented, with the cooling passages treated as 'heat sinks' in the finite element analysis. For fluid mechanics, the concept of 'nodeless' degrees of freedom is introduced, with real-life fluid-flow applications. The time-dependent finite-element analysis topic is addressed through the problem of unsteady stator/rotor flow interaction within a turbomachinery stage. Finally, the concept of 'virtually-deformable finite elements', as it relates to the problem of fluid-induced vibration, is explained in detail with many practical applications.

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.

Subject Areas: Heat transfer processes [THN], Mechanics of fluids [TGMF], Chemical engineering [TDCB], Maths for engineers [TBJ], Fluid mechanics [PHDF]