Exact solutions of Stokes’ first problem for heated generalized Burgers’ fluid in a porous half-space |
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Authors: | Changfeng Xue Junxiang Nie |
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Affiliation: | aDepartment of Fundamental Sciences , Yancheng Institute of Technology, Yancheng, Jiangsu 224003, PR China;bDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, PR China |
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Abstract: | This work is concerned with applying the fractional calculus approach to the fundamental Stokes’ first problem of a heated Burgers’ fluid in a porous half-space. Modified Darcy's law for a Burgers’ fluid with fractional model is introduced first time. By using the Fourier sine transform and the fractional Laplace transform, exact solutions of the velocity and temperature field are obtained. The solutions for a Navier–Stokes, second grade, Maxwell, Oldroyd-B or Burgers’ fluid appear as the limiting cases of the present analysis. |
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Keywords: | Burgers’ fluid Porous medium Fractional calculus Stokes’ first problem Heat transfer |
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