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Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform

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Abstract

This paper introduces a new model for the Fourier law of heat conduction with the time-fractional order to the generalized Maxwell fluid. The flow is influenced by magnetic field, radiation heat, and heat source. A fractional calculus approach is used to establish the constitutive relationship coupling model of a viscoelastic fluid. We use the Laplace transform and solve ordinary differential equations with a matrix form to obtain the velocity and temperature in the Laplace domain. To obtain solutions from the Laplace space back to the original space, the numerical inversion of the Laplace transform is used. According to the results and graphs, a new theory can be constructed. Comparisons of the associated parameters and the corresponding flow and heat transfer characteristics are presented and analyzed in detail.

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Authors and Affiliations

  1. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

    Yaqing Liu & Boling Guo

  2. Gengdan Institute of Beijing University of Technology, Beijing, 101301, China

    Yaqing Liu

Authors
  1. Yaqing Liu
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  2. Boling Guo
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Correspondence to Yaqing Liu.

Additional information

Project supported by the China Postdoctoral Science Foundation (No. 2015M580069)

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Liu, Y., Guo, B. Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform. Appl. Math. Mech.-Engl. Ed. 37, 137–150 (2016). https://doi.org/10.1007/s10483-016-2021-8

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  • DOI: https://doi.org/10.1007/s10483-016-2021-8

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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