Description: 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 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]
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BIC Subject Area 1: Heat transfer processes [THN]
BIC Subject Area 2: Mechanics of fluids [TGMF]
BIC Subject Area 3: Chemical engineering [TDCB]
BIC Subject Area 4: Maths for engineers [TBJ]
BIC Subject Area 5: Fluid mechanics [PHDF]
Number of Pages: 387 Pages
Publication Name: The Finite Element Method with Heat Transfer and Fluid Mechanics Applications
Language: English
Publisher: Cambridge University Press
Item Height: 261 mm
Subject: Mathematics
Publication Year: 2013
Type: Textbook
Item Weight: 1000 g
Subject Area: Mechanical Engineering
Author: Erian A. Baskharone
Item Width: 185 mm
Format: Hardcover
