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Modified Finite Element Study for Heat and Mass Transfer of Electrical MHD Non-Newtonian Boundary Layer Nanofluid Flow

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  • Muhammad Shoaib Arif

    (Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan)

  • Wasfi Shatanawi

    (Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    Department of Medical Research, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan)

  • Yasir Nawaz

    (Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan)

Abstract

Research into the effects of different parameters on flow phenomena is necessary due to the wide range of potential applications of non-Newtonian boundary layer nanofluid flow, including but not limited to production industries, polymer processing, compression, power generation, lubrication systems, food manufacturing, and air conditioning. Because of this impetus, we investigated non-Newtonian fluid flow regimes from the perspectives of both heat and mass transfer aspects. In this study, heat transfer of electrical MHD non-Newtonian flow of Casson nanofluid over the flat plate is investigated under the effects of variable thermal conductivity and mass diffusivity. Emerging problems occur as nonlinear partial differential equations (NPDEs) in opposition to the conservation laws of mass, momentum, heat, and species transportation. The shown problem can be recast as a set of ordinary differential equations by making the necessary changes. A modified finite element method is adopted to solve the obtained set of ODEs. The numerical method is based on Galerkin weighted residual approach, and Gauss–Legendre numerical integration is adopted in the modified finite element method application procedure. To clarify the obtained results, another numerical technique is employed to solve the reduced ODEs. With the help of error tables and the flowing behavior of complicated physical parameters on estimated solutions, this study graphically and tabulatively explains the convergence of analytic solutions. Comparing some of the obtained results with those given in past research is also done. From the obtained results, it is observed that the velocity profile escalates by improving the electric parameter. Our intention is for this paper to serve as a guide for academics in the future who will be tasked with addressing pressing issues in the field of industrial and engineering enclosures.

Suggested Citation

  • Muhammad Shoaib Arif & Wasfi Shatanawi & Yasir Nawaz, 2023. "Modified Finite Element Study for Heat and Mass Transfer of Electrical MHD Non-Newtonian Boundary Layer Nanofluid Flow," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:1064-:d:1074824
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    References listed on IDEAS

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    1. Kasaeian, Alibakhsh & Eshghi, Amin Toghi & Sameti, Mohammad, 2015. "A review on the applications of nanofluids in solar energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 584-598.
    2. Umair Rashid & Thabet Abdeljawad & Haiyi Liang & Azhar Iqbal & Muhammad Abbas & Mohd. Junaid Siddiqui, 2020. "The Shape Effect of Gold Nanoparticles on Squeezing Nanofluid Flow and Heat Transfer between Parallel Plates," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-12, September.
    3. Doaa Rizk & Asad Ullah & Ikramullah & Samia Elattar & Khalid Abdulkhaliq M. Alharbi & Mohammad Sohail & Rajwali Khan & Alamzeb Khan & Nabil Mlaiki, 2022. "Impact of the KKL Correlation Model on the Activation of Thermal Energy for the Hybrid Nanofluid (GO+ZnO+Water) Flow through Permeable Vertically Rotating Surface," Energies, MDPI, vol. 15(8), pages 1-16, April.
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