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Thermal Conductivity and Thermophoretic Impacts of Micropolar Fluid Flow by a Horizontal Absorbent Isothermal Porous Wall with Heat Source/Sink

Author

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  • Hossam A. Nabwey

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
    Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt)

  • Ahmed M. Rashad

    (Mathematics Department, Faculty of Science, Aswan University, Aswan 81528, Egypt)

  • Abd El Nasser Mahdy

    (Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt)

  • Shaaban M. Shaaban

    (Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt
    Department of Electrical Engineering, College of Engineering, Northern Border University, Arar 1321, Saudi Arabia)

Abstract

Boundary layer analysis is invoked to clarify the aspects of variable thermal conductivity and thermophoretic forces on a steady state of MHD micropolar fluid flow in the existence of a uniform transverse magnetic field along an isothermal horizontal plate. The micropolar pattern permits the rotational freedom degrees that lead to couple stresses and a non symmetric stress tensor. The initiated PDEs governing the case pattern are mutated into a non-dimensional system due to proper transformations. The transformed mathematical governing equations are solved by implementing a very potent computer algebra software MATLAB code. The plotted graphs analyzed the attitude of multiple physical aspects involving factors on the flow attitude of micropolar velocity and angular velocity and temperature. Through the involved factors, the couple stress, skin friction and Nusselt number are manifested and interpreted amply. A new outcome for drag force and heat gradient experienced by the key factors is portrayed. Augmentation in Ω results in the thermophoretic forces that encapsulate the mass transmission. The local Nusselt number strengthened as the thermal conductivity, heat absorption factors or wall suction velocity were improved, and weakened due to the existence of viscous dissipation or heat generation impacts. As a particular case, the governing field equations of a classical Newtonian liquid are given by dropping the micropolar parameter impacts.

Suggested Citation

  • Hossam A. Nabwey & Ahmed M. Rashad & Abd El Nasser Mahdy & Shaaban M. Shaaban, 2022. "Thermal Conductivity and Thermophoretic Impacts of Micropolar Fluid Flow by a Horizontal Absorbent Isothermal Porous Wall with Heat Source/Sink," Mathematics, MDPI, vol. 10(9), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1514-:d:807336
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    References listed on IDEAS

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    1. Hazarika, Silpi & Ahmed, Sahin, 2022. "Brownian motion and thermophoresis behavior on micro-polar nano-fluid—A numerical outlook," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 452-463.
    2. Mahdy, A., 2019. "Aspects of homogeneous-heterogeneous reactions on natural convection flow of micropolar fluid past a permeable cone," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 59-67.
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    Cited by:

    1. Quanfu Lou & Bagh Ali & Saif Ur Rehman & Danial Habib & Sohaib Abdal & Nehad Ali Shah & Jae Dong Chung, 2022. "Micropolar Dusty Fluid: Coriolis Force Effects on Dynamics of MHD Rotating Fluid When Lorentz Force Is Significant," Mathematics, MDPI, vol. 10(15), pages 1-13, July.

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