2018
DOI: 10.1038/s41598-018-31538-8
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Slip flow through a non-uniform channel under the influence of transverse magnetic field

Abstract: This study deals with the steady laminar slip flow of an incompressible Newtonian fluid in a non-uniform permeable channel under the influence of transverse magnetic field. The reabsorption through the wall is accounted for by considering flux as a function of downstream distance. The non-linear coupled partial differential equations of motion are first transformed into a single fourth order partial differential equation and then solved analytically using Adomain decomposition method. Effects of pertinent para… Show more

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Cited by 13 publications
(6 citation statements)
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“…Hence, to enhance the mixing in micro-channels it is essential to put Re < 1 as described in [21,22]. In the presence of a magnetic field, a slip flow was studied [23] for the fluid flow and heat transfer problem where the governing partial differential equation first converted in to fourth order differential equation and then a numerical solution obtained by Adomain decomposition. The two models for the hybrid nano-fluid were compared for a rotating channel with porous medium under the surface catalytic reaction [24].…”
Section: Nomenclaturementioning
confidence: 99%
“…Hence, to enhance the mixing in micro-channels it is essential to put Re < 1 as described in [21,22]. In the presence of a magnetic field, a slip flow was studied [23] for the fluid flow and heat transfer problem where the governing partial differential equation first converted in to fourth order differential equation and then a numerical solution obtained by Adomain decomposition. The two models for the hybrid nano-fluid were compared for a rotating channel with porous medium under the surface catalytic reaction [24].…”
Section: Nomenclaturementioning
confidence: 99%
“…They found the expressions for velocity components, flow rate and pressure drop inside the porous channel. Farooq et al [14] also extended the work of Muthu et al [10] to slip flow condition considering Newtonian fluid flow inside the wavy channel.…”
Section: Introductionmentioning
confidence: 98%
“…A number of expedient learning in this topic is cited over in references. 26,[30][31][32][33][34][35][36][37][38][39][40][41] The increased amount of applications in biophysiological and industrialized flows handled with suitable analysis is deliberated diversely and extensively. Observing and keeping in focus the research literature, the aim of present study is to investigate the flow hydrodynamics under the simultaneous influences of velocity slip and transverse magnetic field on the peristaltic motion of incompressible, viscous nanomaterial over a flexible porous channel of varying crosssectional area.…”
Section: Introductionmentioning
confidence: 99%
“…A number of expedient learning in this topic is cited over in references. 26,3041…”
Section: Introductionmentioning
confidence: 99%