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Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method

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  • Mohammad Mehdi Rashidi
  • Seyyed Amin Mohimanian pour

Abstract

The differential transform method (DTM) is applied to the steady three-dimensional problem of a condensation film on an inclined rotating disk. With similarity method, the governing equations can be reduced to a system of nonlinear ordinary differential equations. The approximate solutions of these equations are obtained in the form of series with easily computable terms. The velocity and temperature profiles are shown and the influence of Prandtl number on the temperature profiles is discussed in detail. The validity of our solutions is verified by the numerical results.

Suggested Citation

  • Mohammad Mehdi Rashidi & Seyyed Amin Mohimanian pour, 2010. "Analytic Solution of Steady Three-Dimensional Problem of Condensation Film on Inclined Rotating Disk by Differential Transform Method," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-15, September.
    • Handle: RePEc:hin:jnlmpe:613230
    DOI: 10.1155/2010/613230
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    Cited by:

    1. Acharya, Nilankush, 2021. "Spectral quasi linearization simulation on the radiative nanofluid spraying over a permeable inclined spinning disk considering the existence of heat source/sink," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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