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The homotopy simulation of MHD time dependent three dimensional shear thinning fluid flow over a stretching plate

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  • Khan, Kashif Ali
  • Seadawy, Aly R.
  • Raza, Nauman

Abstract

This article is devoted to investigate the analytic-numeric solutions of an unsteady 3-D MHD shear thinning fluid flow which is embedded in a permeable medium through a stretching sheet along with the attributes of heat transfer. The similarity transformation is adopted to convert the PDEs of current model into its dimensionless form. Then the model is solved by using an algorithm of a robusting technique named as method of Homotopy analysis (HAM). After that, solutions are compared by invoking Runge-Kutta based shooting method. All the symbolic calculations and vived construction of profiles are done by MATHEMATICA and MATLAB. To further discuss the HAM’s convergence and the results homology of the flow model; tabularization is used against multitudinous parameters.

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  • Khan, Kashif Ali & Seadawy, Aly R. & Raza, Nauman, 2022. "The homotopy simulation of MHD time dependent three dimensional shear thinning fluid flow over a stretching plate," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    • Handle: RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922000996
    DOI: 10.1016/j.chaos.2022.111888
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    1. Alsarraf, Jalal & Moradikazerouni, Alireza & Shahsavar, Amin & Afrand, Masoud & Salehipour, Hamzeh & Tran, Minh Duc, 2019. "Hydrothermal analysis of turbulent boehmite alumina nanofluid flow with different nanoparticle shapes in a minichannel heat exchanger using two-phase mixture model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 275-288.
    2. Seadawy, Aly R. & Arshad, Muhammad & Lu, Dianchen, 2020. "The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Seadawy, Aly R., 2015. "Nonlinear wave solutions of the three-dimensional Zakharov–Kuznetsov–Burgers equation in dusty plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 439(C), pages 124-131.
    4. Iskandar Waini & Anuar Ishak & Ioan Pop, 2020. "Hybrid Nanofluid Flow Past a Permeable Moving Thin Needle," Mathematics, MDPI, vol. 8(4), pages 1-18, April.
    5. Tian, Zhe & Rostami, Sara & Taherialekouhi, Roozbeh & Karimipour, Arash & Moradikazerouni, Alireza & Yarmand, Hooman & Zulkifli, Nurin Wahidah Binti Mohd, 2020. "Prediction of rheological behavior of a new hybrid nanofluid consists of copper oxide and multi wall carbon nanotubes suspended in a mixture of water and ethylene glycol using curve-fitting on experim," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
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    Cited by:

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