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Influence of heat source/sink on MHD flow between vertical alternate conducting walls with Hall effect

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  • Kumar, Dileep
  • Singh, A.K.
  • Kumar, Devendra

Abstract

The key object of this article is to present the impact of heat source/sink and Hall current on the completely advanced natural convection flow of a viscous incompressible and electrically conducting fluid through a vertical channel with the condition that one wall is conducting and other is non-conducting. The resulting system of non-dimensional linear equations has been examined with the help of theory of simultaneous differential equations. Finally, we have found the expressions for the fluid velocity, induced magnetic field and temperature field in the compact form. Also, we have derived the induced current density from induced magnetic field and with the help of velocity we found skin friction and rates of mass flow. The obtained results are presented through graphs for distinct values of the Hartmann number, Hall current and heat source/sink parameters. It is noted that the impact of the Hartmann number is to reduce the parts of the velocity and induced current density but improve the constituents of induced magnetic field. Further, the increase of the Hall current parameter leads to enhancement and reduces the primary and secondary constituents of the velocity and induced magnetic field respectively. The Hall current gives rise to a cross flow and the variable fluid properties have strong effects on the shear stress and the Nusselt number. Hall current is applicable in Hall accelerators, Hall effect sensors and constrictions of turbines, etc.

Suggested Citation

  • Kumar, Dileep & Singh, A.K. & Kumar, Devendra, 2020. "Influence of heat source/sink on MHD flow between vertical alternate conducting walls with Hall effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    • Handle: RePEc:eee:phsmap:v:544:y:2020:i:c:s0378437119319843
    DOI: 10.1016/j.physa.2019.123562
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    References listed on IDEAS

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    1. Sheikholeslami, M. & Jafaryar, M. & Shafee, Ahmad & Li, Zhixiong, 2019. "Simulation of nanoparticles application for expediting melting of PCM inside a finned enclosure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 544-556.
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    Cited by:

    1. Zeeshan & N. Ameer Ahammad & Nehad Ali Shah & Jae Dong Chung & Muhammad Shoaib Khan, 2023. "Computational and Stability Analysis of MHD Time-Dependent Thermal Reaction Flow Impinging on a Vertical Porous Plate Enclosing Magnetic Prandtl Number and Thermal Radiation Effect," Mathematics, MDPI, vol. 11(6), pages 1-20, March.
    2. Nur Syazana Anuar & Norfifah Bachok & Ioan Pop, 2021. "Influence of MHD Hybrid Ferrofluid Flow on Exponentially Stretching/Shrinking Surface with Heat Source/Sink under Stagnation Point Region," Mathematics, MDPI, vol. 9(22), pages 1-14, November.
    3. Nur Syazana Anuar & Norfifah Bachok & Ioan Pop, 2021. "Hybrid Carbon Nanotube Flow near the Stagnation Region over a Permeable Vertical Plate with Heat Generation/Absorption," Mathematics, MDPI, vol. 9(22), pages 1-15, November.

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