4.7 Article

Mathematical Analysis of Mixed Convective Peristaltic Flow for Chemically Reactive Casson Nanofluid

Journal

MATHEMATICS
Volume 11, Issue 12, Pages -

Publisher

MDPI
DOI: 10.3390/math11122673

Keywords

peristalsis; Casson fluid model; nanofluid; mixed convection; compliant walls; chemical reaction

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Nanofluids have excellent heat transfer rates and are valuable in medical and industrial applications. This study investigates the peristaltic flow of a Casson nanofluid in a symmetric elastic/compliant channel. The study establishes equations for flow, thermal/mass transfer, and considers the effects of Brownian motion and thermophoresis. Slip conditions and lubricant approximations are applied to simplify the equations. The study analyzes the influence of various variables on fluid velocity, temperature profile, and heat transfer rate.
Nanofluids are extremely beneficial to scientists because of their excellent heat transfer rates, which have numerous medical and industrial applications. The current study deals with the peristaltic flow of nanofluid (i.e., Casson nanofluid) in a symmetric elastic/compliant channel. Buongiorno's framework of nanofluids was utilized to create the equations for flow and thermal/mass transfer along with the features of Brownian motion and thermophoresis. Slip conditions were applied to the compliant channel walls. The thermal field incorporated the attributes of viscous dissipation, ohmic heating, and thermal radiation. First-order chemical-reaction impacts were inserted in the mass transport. The influences of the Hall current and mixed convection were also presented within the momentum equations. Lubricant approximations were exploited to make the system of equations more simplified for the proposed framework. The solution of a nonlinear system of ODEs was accomplished via a numerical method. The influence of pertinent variables was examined by constructing graphs of fluid velocity, temperature profile, and rate of heat transfer. The concentration field was scrutinized via table. The velocity of the fluid declined with the increment of the Hartman number. The effects of thermal radiation and thermal Grashof number on temperature showed opposite behavior. Heat transfer rate was improved by raising the Casson fluid parameter and the Brownian motion parameter.

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