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Yang, Weidong; Chen, Xuehui; Jiang, Zeyi; Zhang, Xinru; Zheng, Liancun

Effect of slip boundary condition on flow and heat transfer of a double fractional Maxwell fluid. (English) Zbl 07848595

Chin. J. Phys., Taipei 68, 214-223 (2020).
Summary: The purpose of the present paper is to investigate the flow and heat transfer of a double fractional Maxwell fluid with a second order slip model. The fractional governing equations are solved numerically by using the finite difference method. By comparing the analytical solutions of special boundary conditions, the validity of the present numerical method is examined. The effects of the two slip parameters and the fractional parameters on the velocity and temperature distribution are presented graphically and discussed. The results reveal that the fractional Maxwell fluid exhibits a stronger viscosity or elasticity for different fractional parameters, and the oscillation phenomenon will gradually decrease as expected with an increase in slip parameters.

Cited in 7 Documents

MSC:

76Axx Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena
76Dxx Incompressible viscous fluids
76Mxx Basic methods in fluid mechanics

Keywords:

slip condition; flow; heat transfer; fractional Maxwell fluid; numerical solution
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References:

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