Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy

Bagh Ali, Rizwan Ali Naqvi, Amna Mariam, Liaqat Ali and Omar M. Aldossary
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Bagh Ali: Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China
Rizwan Ali Naqvi: Department of Intelligent Mechatronics, Sejong University, Seoul 100083, Korea
Amna Mariam: School of Mathematics, National College of Business Administration and Economics Lahore Layyah Campus, Layyah 31200, Pakistan
Liaqat Ali: School of Energy and Power, Xi’an Jiaotong University, No. 28 Xianning West Road, Xi’an 710049, China
Omar M. Aldossary: Department of Physics and Astronomy, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2020, vol. 9, issue 1, 1-18

Abstract: The below work comprises the unsteady flow and enhanced thermal transportation for Carreau nanofluids across a stretching wedge. In addition, heat source, magnetic field, thermal radiation, activation energy, and convective boundary conditions are considered. Suitable similarity functions use to transmuted partial differential formulation into the ordinary differential form, which is solved numerically by the finite element method and coded in Matlab script. Parametric computations are made for faster stretch and slowly stretch to the surface of the wedge. The progressing value of parameter A (unsteadiness), material law index ? , and wedge angle reduce the flow velocity. The temperature in the boundary layer region rises directly with exceeding values of thermophoresis parameter Nt, Hartman number, Brownian motion parameter Nb, ? , Biot number Bi and radiation parameter Rd. The volume fraction of nanoparticles rises with activation energy parameter EE, but it receded against chemical reaction parameter Ω , and Lewis number Le. The reliability and validity of the current numerical solution are ascertained by establishing convergence criteria and agreement with existing specific solutions.

Keywords: finite element method; tangent hyperbolic nanofluid; falkner-skan flow; wedge geometry; activation energy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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