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Time-space dependent fractional viscoelastic MHD fluid flow and heat transfer over accelerating plate with slip boundary

Chen Shengting (University of Science and Technology Beijing, School of Mechanical Engineering, Beijing, China)
Zheng Liancun (University of Science and Technology Beijing, School of Mechanical Engineering, Beijing, China)
Li Chunrui (aSchool of Mechanical Engineering, University of Science and Technology Beijing, Beijing, China + University of Science and Technology Beijing, School of Mathematics and Physics, Beijing, China)
Sui Jize (School of Mechanical Engineering, University of Science and Technology Beijing, Beijing, China + University of Science and Technology Beijing, School of Mathematics and Physics, Beijing, China)

The MHD flow and heat transfer of viscoelastic fluid over an accelerating plate with slip boundary are investigated. Different from most classical works, a modified time-space dependent fractional Maxwell fluid model is proposed in depicting the constitutive relationship of the fluid. Numerical solutions are obtained by explicit finite difference approximation and exact solutions are also presented for the limiting cases in integral and series forms. Furthermore, the effects of parameters on the flow and heat transfer behavior are analyzed and discussed in detail.

Keywords: MHD flow, maxwell fluid, time-space fractional derivatives, slip boundary