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Comparisons of the Solutions Obtained by Two Transform Methods for Motions of Newtonian Fluids Between Parallel Plates

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Abstract

The analytic solutions obtained through the finite Fourier sine or cosine transforms or the Laplace transform for two different motions of Newtonian fluids between two horizontal infinite parallel plates are different as form but equivalent. In addition, the solutions obtained by means of the Laplace transform, which are new in the existing literature, are established in simple and elegant forms in terms of the exponential function and the complementary error function of Gauss which is a tabulated function.

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Acknowledgements

The authors would like to thank reviewers for the careful assessment and valuable suggestions concerning the initial form of the manuscript.

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Authors and Affiliations

  1. Fundamental and Applied Sciences Department, Universiti Teknologi Petronas, 32610, Seri Iskandar, Malaysia

    Marneni Narahari

  2. Academy of Romanian Scientists, 050094, Bucharest, Romania

    Constantin Fetecau

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  1. Marneni Narahari
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  2. Constantin Fetecau
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Correspondence to Marneni Narahari.

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Narahari, M., Fetecau, C. Comparisons of the Solutions Obtained by Two Transform Methods for Motions of Newtonian Fluids Between Parallel Plates. Int. J. Appl. Comput. Math 6, 36 (2020). https://doi.org/10.1007/s40819-020-0788-7

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  • DOI: https://doi.org/10.1007/s40819-020-0788-7

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