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A Mathematical Study of Hall Effects on Peristaltic Transport of Hydromagnetic Flow Through a Porous Medium

Volume 10, Edição 7, 2007, pp. 687-700
DOI: 10.1615/JPorMedia.v10.i7.40
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RESUMO

In this work a theoretical analysis is presented for the problem of peristaltic transport of a viscous electrically conducting fluid through a porous medium in a planar channel, in which the flow is induced by a sinusoidal wave traveling on the walls. This problem has numerous applications in various branches of science, including the stimulation of fluid flow in a porous medium under the effect of elastic waves and studies of blood flow dynamics in living creatures. The effect of the Hall currents and the permeability of the medium on the mean axial velocity and the reversal flow have been investigated. A perturbation solution of the stream function for zeroth, first, and second order in a small amplitude ratio for the free pumping case is obtained. The results, for smaller values of the Hall parameter, show that the axial velocity decreases by increasing the Hall parameter and permeability parameter, and the possibility of flow reversal increases by increasing the permeability parameter and decreases by increasing the Hall parameter.

CITADO POR
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  2. Das S., Barman B., Jana R. N., Makinde O. D., Hall and Ion Slip Currents’ Impact on Electromagnetic Blood Flow Conveying Hybrid Nanoparticles Through an Endoscope with Peristaltic Waves, BioNanoScience, 11, 3, 2021. Crossref

  3. Das S., Pal T. K., Jana R. N., Electromagnetic Hybrid Nano-Blood Pumping via Peristalsis Through an Endoscope Having Blood Clotting in Presence of Hall and Ion Slip Currents, BioNanoScience, 11, 3, 2021. Crossref

  4. Imran Naveed, Javed Maryiam, Sohail Muhammad, Thounthong Phatiphat, Nabwey Hossam A., Tlili Iskander, Utilization of hall current and ions slip effects for the dynamic simulation of peristalsis in a compliant channel, Alexandria Engineering Journal, 59, 5, 2020. Crossref

  5. Akbar Y., Akram U., Aun M.A., Afsar H., Javed M.W., MHD peristaltic transportation of radiative MWCNT-Ag/CHO hybrid nanofluid with variable characteristics, Materials Today Communications, 28, 2021. Crossref

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