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  3. The Finite Element Method with Heat Transfer and Fluid Mechanics Applications
  • Cited by 7
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    • Publisher:
      Cambridge University Press
      Publication date:
      June 2014
      September 2013
      ISBN:
      9781139626668
      9781107039810
      DOI:
      https://doi.org/10.1017/CBO9781139626668
      Dimensions:
      (253 x 177 mm)
      Weight & Pages:
      1kg, 387 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Engineering, Thermal-Fluids Engineering, Engineering Mathematics and Programming
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    Subjects:
    Engineering, Thermal-Fluids Engineering, Engineering Mathematics and Programming
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    Book description

    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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