2020
DOI: 10.1002/htj.21826
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Hall and ion‐slip effects on steady MHD free convective flow through a porous medium in a vertical microchannel

Abstract: We have considered the steady fully developed magnetohydrodynamic free convection flow through a porous medium in a microchannel bounded by two infinite vertical parallel plates due to asymmetric heating of plates taking Hall and ion-slip effects into account. Effects of velocity slip and temperature jump have been considered on the microchannel surfaces, and the exact solutions have been obtained for momentum and energy equations under relevant boundary conditions. The influence of governing parameters on flo… Show more

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Cited by 22 publications
(10 citation statements)
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References 27 publications
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“…Bhattacharyya and Pop 25 and Bhattacharyya 26,27 examined the distinct idea of the flow over a shrinking sheet. Sadiq Basha et al 28 examined the steady fully developed MHD free convection flow through a porous medium in a microchannel bounded by two infinite vertical parallel plates due to asymmetric heating of plates, taking Hall and ion‐slip effects into account. Awaludin et al 1 discussed the stability testing of stagnation vortex steam over a stretching/shrinking sheet.…”
Section: Introductionmentioning
confidence: 99%
“…Bhattacharyya and Pop 25 and Bhattacharyya 26,27 examined the distinct idea of the flow over a shrinking sheet. Sadiq Basha et al 28 examined the steady fully developed MHD free convection flow through a porous medium in a microchannel bounded by two infinite vertical parallel plates due to asymmetric heating of plates, taking Hall and ion‐slip effects into account. Awaludin et al 1 discussed the stability testing of stagnation vortex steam over a stretching/shrinking sheet.…”
Section: Introductionmentioning
confidence: 99%
“…Flow in porous media was studied theoretically and experimentally in the slip flow regime by several scholars 14‐24 . The analytical solution was feasible with only a simple and specific porous structure.…”
Section: Introductionmentioning
confidence: 99%
“…Also, Valdes‐Parada et al 19 performed numerical modeling of permeability in a square‐based Sierpinski porous medium, the results show that the simplified equations cannot describe permeability accurately, and need to take pore size parameters into account. Another study by Basha et al 20 analyzed flow through a porous medium in a vertical microchannel under the slip effect theoretically (regardless of pore structure), the results show that permeability enhances both the velocity distribution in a channel and the volumetric flowrate.…”
Section: Introductionmentioning
confidence: 99%
“…Krishna et al 10 discussed the MHD flow of an electrically conducting second‐grade fluid through a porous medium over a semi‐infinite vertical stretching sheet. Sadiq Basha et al 11 the steady fully developed MHD free convection flow through a porous medium in a micro‐channel bounded by two infinite vertical parallel plates due to asymmetric heating of plates taking Hall and ion slip effects into account. The combined effects of Hall and ion slip on MHD rotating flow of ciliary propulsion of microscopic organisms through a porous medium have been studied by Krishna et al 12 Krishna and Chamkha 13 investigated the Hall and ion slip effects on the MHD convective flow of elastico‐viscous fluid through a porous medium between two rigidly rotating parallel plates with time fluctuating sinusoidal pressure gradient.…”
Section: Introductionmentioning
confidence: 99%