Application of the Homotopy Analysis Method to Fluid Flow Problems

  • Kuppalapalle Vajravelu
  • Robert A. van Gorder

Abstract

The equations of viscous flow have been known for more than 100 years. In their complete form, these equations are very difficult to solve, even on modern digital computers. In fact, at high Reynolds numbers (turbulent flow), the equations are impossible to solve with present mathematical techniques, because the boundary conditions become randomly time-dependent. Nevertheless, it is very instructive to present and discuss these fundamental equations because they give many insights, yield several particular solutions, and can be examined for modeling purposes. Also, these equations can then be simplified, using Prandtl boundary-layer approximations. The resulting simpler system is very practical and yields many fruitful engineering solutions.

Keywords

Porous Channel Power Index Homotopy Analysis Method Porous Plate Auxiliary Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Kuppalapalle Vajravelu
    • 1
  • Robert A. van Gorder
    • 1
  1. 1.Department of MathematicsUniversity of Central FloridaOrlandoUSA

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