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Heat Transfer of Buoyancy and Radiation on the Free Convection Boundary Layer MHD Flow across a Stretchable Porous Sheet

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  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
    Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea)

  • Ziad Khan

    (Department of Mathematics, University of Swabi, Swabi 23561, KPK, Pakistan)

  • Pshtiwan Othman Mohammed

    (Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq)

  • Eman Al-Sarairah

    (Department of Mathematics, Khalifa University, Abu Dhabi P.O. Box 127788, United Arab Emirates
    Department of Mathematics, Al-Hussein Bin Talal University, Ma’an P.O. Box 33011, Jordan)

  • Muhammad Jawad

    (Department of Mathematics, University of Swabi, Swabi 23561, KPK, Pakistan)

  • Rashid Jan

    (Department of Mathematics, University of Swabi, Swabi 23561, KPK, Pakistan)

Abstract

Theoretical influence of the buoyancy and thermal radiation effects on the MHD (magnetohydrodynamics) flow across a stretchable porous sheet were analyzed in the present study. The Darcy–Forchheimer model and laminar flow were considered for the flow problem that was investigated. The flow was taken to incorporate a temperature-dependent heat source or sink. The study also incorporated the influences of Brownian motion and thermophoresis. The general form of the buoyancy term in the momentum equation for a free convection boundary layer is derived in this study. A favorable comparison with earlier published studies was achieved. Graphs were used to investigate and explain how different physical parameters affect the velocity, the temperature, and the concentration field. Additionally, tables are included in order to discuss the outcomes of the Sherwood number, the Nusselt number, and skin friction. The fundamental governing partial differential equations (PDEs), which are used in the modeling and analysis of the MHD flow problem, were transformed into a collection of ordinary differential equations (ODEs) by utilizing the similarity transformation. A semi-analytical approach homotopy analysis method (HAM) was applied for approximating the solutions of the modeled equations. The model finds several important applications, such as steel rolling, nuclear explosions, cooling of transmission lines, heating of the room by the use of a radiator, cooling the reactor core in nuclear power plants, design of fins, solar power technology, combustion chambers, astrophysical flow, electric transformers, and rectifiers. Among the various outcomes of the study, it was discovered that skin friction surges for 0.3 ≤ F 1 ≤ 0.6, 0.1 ≤ k 1 ≤ 0.4 and 0.3 ≤ M ≤ 1.0, snf declines for 1.0 ≤ G r ≤ 4.0. Moreover, the Nusselt number augments for 0.5 ≤ R ≤ 1.5, 0.2 ≤ N t ≤ 0.8 and 0.3 ≤ N b ≤ 0.9, and declines for 2.5 ≤ P r ≤ 5.5. The Sherwood number increases for 0.2 ≤ N t ≤ 0.8 and 0.3 ≤ S c ≤ 0.9, and decreases for 0.1 ≤ N b ≤ 0.7.

Suggested Citation

  • Hari Mohan Srivastava & Ziad Khan & Pshtiwan Othman Mohammed & Eman Al-Sarairah & Muhammad Jawad & Rashid Jan, 2022. "Heat Transfer of Buoyancy and Radiation on the Free Convection Boundary Layer MHD Flow across a Stretchable Porous Sheet," Energies, MDPI, vol. 16(1), pages 1-23, December.
    • Handle: RePEc:gam:jeners:v:16:y:2022:i:1:p:58-:d:1009919
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    References listed on IDEAS

    as
    1. Muhammad Faizan & Farhan Ali & Karuppusamy Loganathan & Aurang Zaib & Ch Achi Reddy & Sara I. Abdelsalam, 2022. "Entropy Analysis of Sutterby Nanofluid Flow over a Riga Sheet with Gyrotactic Microorganisms and Cattaneo–Christov Double Diffusion," Mathematics, MDPI, vol. 10(17), pages 1-22, September.
    2. Ziad Khan & Muhammad Jawad & Ebenezer Bonyah & Naveed Khan & Rashid Jan & Shams -ul-Islam, 2022. "Magnetohydrodynamic Thin Film Flow through a Porous Stretching Sheet with the Impact of Thermal Radiation and Viscous Dissipation," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-10, January.
    3. Iftikhar Ahmad & Muhmmad Sajid & Wasim Awan & Muhammad Rafique & Wajid Aziz & Manzoor Ahmed & Aamar Abbasi & Moeen Taj, 2014. "MHD Flow of a Viscous Fluid over an Exponentially Stretching Sheet in a Porous Medium," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, April.
    4. Stanford Shateyi & Sandile Sydney Motsa, 2009. "Thermal Radiation Effects on Heat and Mass Transfer over an Unsteady Stretching Surface," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-13, January.
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