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A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions

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  • Imran, M.A.
  • Aleem, Maryam
  • Riaz, M.B.
  • Ali, Rizwan
  • Khan, Ilyas

Abstract

We have analyzed the magnetohydrodynaimcs (MHD) unsteady free convection flow of incompressible Newtonian fluid passing over an inclined plate through porous medium with variable temperature and concentration at the boundary. Additionally, we have also seen the effects of heat sink and chemical reaction. We have solved dimensionless equations governing the physical problem by Laplace transform method. Firstly, we have found the analytical results for concentration, temperature and velocity fields of classical model. After that we have extended the classical model to some fractional models specifically Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC). Semi analytical results are attained for concentration, temperature and velocity fields for both models and then compared with solutions of classical one. Influence of Fembedded parameters on concentration, temperature and velocity domains can be perceived through MathCad software. As a result, we have observed that both the fractional models (CF) and (ABC) are better in describing the history of the physical problem. Further it is noted that, (ABC) model is well-suited in stimulating the history functions of temperature, concentration and velocity fields.

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  • Imran, M.A. & Aleem, Maryam & Riaz, M.B. & Ali, Rizwan & Khan, Ilyas, 2019. "A comprehensive report on convective flow of fractional (ABC) and (CF) MHD viscous fluid subject to generalized boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 274-289.
    • Handle: RePEc:eee:chsofr:v:118:y:2019:i:c:p:274-289
    DOI: 10.1016/j.chaos.2018.12.001
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    References listed on IDEAS

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    1. Atangana, Abdon & Koca, Ilknur, 2016. "Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 447-454.
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    2. Ravi Kanth, A.S.V. & Devi, Sangeeta, 2021. "A practical numerical approach to solve a fractional Lotka–Volterra population model with non-singular and singular kernels," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Shit, G.C. & Maiti, S. & Roy, M. & Misra, J.C., 2019. "Pulsatile flow and heat transfer of blood in an overlapping vibrating atherosclerotic artery: A numerical study," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 166(C), pages 432-450.
    4. Owolabi, Kolade M. & Atangana, Abdon, 2019. "Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 41-49.
    5. Asjad, Muhammad Imran & Sunthrayuth, Pongsakorn & Ikram, Muhammad Danish & Muhammad, Taseer & Alshomrani, Ali Saleh, 2022. "Analysis of non-singular fractional bioconvection and thermal memory with generalized Mittag-Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    6. Aleem, Maryam & Asjad, Muhammad Imran & Shaheen, Aqila & Khan, Ilyas, 2020. "MHD Influence on different water based nanofluids (TiO2, Al2O3, CuO) in porous medium with chemical reaction and newtonian heating," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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