Applied Mathematics and Mechanics >
Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform
Received date: 2015-02-07
Revised date: 2015-07-07
Online published: 2016-02-01
Supported by
Project supported by the China Postdoctoral Science Foundation (No. 2015M580069)
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.
Key words： radiation heat; Laplace transform; Maxwell fluid; fractional derivative; heat source
Yaqing LIU, Boling GUO . Coupling model for unsteady MHD flow of generalized Maxwell fluid with radiation thermal transform[J]. Applied Mathematics and Mechanics, 2016 , 37(2) : 137 -150 . DOI: 10.1007/s10483-016-2021-8
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