The Finite Element Method with Heat Transfer and Fluid Mechanics Applications
eBook - PDF

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

The Finite Element Method with Heat Transfer and Fluid Mechanics Applications

About this book

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.

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Yes, you can access The Finite Element Method with Heat Transfer and Fluid Mechanics Applications by Erian A. Baskharone in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Mechanical Engineering. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half Title
  3. Title
  4. Copyright
  5. Brief Contents
  6. Detailed Contents
  7. Preface
  8. 1 The Finite Element Method: Introductory Remarks
  9. 2 Some Methods for Solving Continuum Problems
  10. 3 Variational Approach
  11. 4 Requirements for the Interpolation Functions
  12. 5 Heat Transfer Applications
  13. 6 One-Dimensional Steady-State Problems
  14. 7 The Two-Dimensional Heat-Conduction Problem
  15. 8 Three-Dimensional Heat-Conduction Applications with Convection and Internal Heat Absorption
  16. 9 One-Dimensional Transient Problems
  17. 10 Fluid Mechanics Finite Element Applications
  18. 11 Use of Nodeless Degrees of Freedom
  19. 12 Finite Element Analysis in Curvilinear Coordinate
  20. 13 Finite element Modeling of Flow in Annular Axisymmetric Passages
  21. 14 Extracting the Finite Element Domain from a Larger Flow System
  22. 15 Finite Element Application to Unsteady Flow Problems
  23. 16 Finite Element-Based Perturbation Approach to Unsteady Flow Problems
  24. Appendix A Natural Coordinates for Three-Dimensional Surface Elements
  25. Appendix B Classification and Finite Element Formulation of Viscous Flow Problems
  26. Appendix C Numerical Integration
  27. Appendix D Finite Element-Based Perturbation Analysis: Formulation of the Zeroth-Order Flow Field
  28. Appendix E Displaced-Rotor Operation: Perturbation Analysis
  29. Appendix F Rigorous Adaptation to Compressible-Flow Problems
  30. Index