每年出版 6 期
ISSN 打印: 2152-5102
ISSN 在线: 2152-5110
Indexed in
Transient Rotating Hydromagnetic Partially-Ionized Heat-Generating Gas Dynamic Flow with Hall/Ion-Slip Current Effects: Finite Element Analysis
摘要
A mathematical model is presented for the unsteady magnetohydrodynamic heat-generating free convection flow of a partially-ionized gas past an infinite vertical porous plate in a rotating frame of reference. Hall and ion-slip current effects are incorporated in the model. A finite element solution to the coupled non-linear differential equations is presented under physically realistic boundary conditions. The effects of Hall current parameter, ion-slip current parameter, Prandtl number, heat generation parameter, rotational parameter, Grashof (buoyancy) parameter and also time on the velocity and temperature fields are presented graphically. Primary velocity profile (u) decreases due to an increase in the Hall parameter and the ionslip parameter; however it is boosted with time for positive Grashof numbers (cooling of the plate by free convection currents) and decreases with time for negative Grashof numbers (heating of the plate by free convection currents). Secondary velocity profile (v) is also reduced with rising Hall parameter and ionslip parameter but boosted with time and stronger rotation. The temperature profile (θ) is enhanced with a rise in the heat generating parameter and also increases with time. The flow regime has important applications in MHD energy systems, plasma aerodynamics and induction flow meter technologies.
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Ghosh Swapan Kumar, Bég Osman Anwar, Aziz Abdul, A Mathematical Model for Magnetohydrodynamic Convection Flow in a Rotating Horizontal Channel with Inclined Magnetic Field, Magnetic Induction and Hall Current Effects, World Journal of Mechanics, 01, 03, 2011. Crossref
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Jha Basant K., Malgwi Peter B., Combined effects of Hall and ion-slip current on MHD free convection flow in a vertical micro-channel, SN Applied Sciences, 1, 10, 2019. Crossref
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Kumar Dileep, Singh A. K., Bhattacharyya Krishnendu, Banerjee Astick, Effects of Hall current on MHD natural convection in between two vertical flat walls with induced magnetic field and heat source/sink, International Journal of Ambient Energy, 2021. Crossref
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Sharma Ram Prakash, Ghosh S. K., Das S., MHD Flow in a Rotating Channel Surrounded in a Porous Medium with an Inclined Magnetic Field, in Energy Systems and Nanotechnology, 2021. Crossref