Effect of slip boundary condition on flow and heat transfer of a double fractional Maxwell fluid |
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| Affiliation: | 1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;2. School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China;1. Department of Mathematics, University of Management and Technology Lahore, Pakistan;2. Institute for Groundwater Studies (IGS), University of the Free State, South Africa;3. Department of Mathematics, National University of computer and Emerging Sciences, Lahore Campus, Pakistan;1. School of Computer and Information Engineering, Shanxi Technology and Business College, TaiYuan 030000, China;2. Department of Mathematics, Lahore Leads University, Lahore, Pakistan;3. Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam;4. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam;5. Department of Mathematics, School of Sciences, University of Management and Technology, Lahore, Pakistan;1. Department of Mathematics, Shivagangothri, Davangere University, Davangere, India;2. Department of Energy and Process Engineering, Norwegian University of Science and Technology (NTNU), NO-7491 Trondheim, Norway |
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| Abstract: | 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. |
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