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A variational analytical approach to time dependent flow of oldroyd B fluid in circular tube

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Abstract

In the present investigation the time dependent flow of an Oldroyd fluid B in a horizontal cylindrical pipe is stuided by the variational analytical approach developed by author. The time dependent problem is mathematically reduced to a partial differential equation of third order. Using the improved variational approach due to Kantorovich the partial differential equation can be reduced to a system of ordinary differential equations for different approximations. The ordinary differential equations are solved by the method of the Laplace transform which is led to an analytical form of the solutions.

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Authors and Affiliations

  1. Res. Lab. Non-Newtonian Fluid Mech., Chengdu Branch, Academia Sinica, Chengdu

    Han Shi-fang

  2. Department of Mathematics, The University of West Indies, St. Augustine Trinidad W.I.

    H. Ramkissoon

Authors
  1. Han Shi-fang
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  2. H. Ramkissoon
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Additional information

Communicated by Kang Zhen-huang

Project supported by TWAS and Chinese Academy of Sciences and the National Science Foundation of China

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Shi-fang, H., Ramkissoon, H. A variational analytical approach to time dependent flow of oldroyd B fluid in circular tube. Appl Math Mech 16, 169–178 (1995). https://doi.org/10.1007/BF02451456

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  • DOI: https://doi.org/10.1007/BF02451456

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