Abstract
Abstract This article aims to study theoretically the combined magneto hydrodynamic flows of casson viscoplastic nanofluid from a horizontal isothermal circular cylinder in non-Darcy porous medium. The impacts of Brownian motion and thermophoresis are consolidated and studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using suitable non-similarity transformation and are solved numerically using Keller-Box finite difference technique. The numerical method is validated with previous published work and the results are found to be in excellent agreement. Numerical results for velocity, temperature, concentration along with skin friction coefficient, heat and mass transfer rate are discussed for various values of physical parameters. It is observed that velocity, heat and mass transfer rate are increased with increasing casson fluid parameter whereas temperature, concentration and skin friction are decreased. Velocity is reduced with increasing Forchheimer parameter whereas temperature and nano-particle concentration are both enhanced. An increase in magnetic parameter is seen to increase temperature and concentration whereas velocity, skin friction heat and mass transfer rate are decreased. The present model finds applications in electric-conductive nano-materials of potential use in aviation and different enterprises, energy systems and thermal enhancement of industrial flow processes.
Highlights
The convection transport study of nano uid has gained interest in the recent years due to its wide spread application in industry, transportation, electronics, fuel cells, incorporate and medical applications
In the present study a non-similarity mathematical analysis is developed for steady double-di usive magnetohydrodynamic ows in Casson nano uid saturated in nonDarcy porous media from a permeable horizontal circular cylinder
There is a progressive depletion in heat transfer rate with increasing transverse coordinate i.e. x–value. This agrees with the corresponding enhancement in temperature in the boundary layer
Summary
The convection transport study of nano uid has gained interest in the recent years due to its wide spread application in industry, transportation, electronics, fuel cells, incorporate and medical applications. Choi [3] was the rst researcher to use the term Nano uid, in order to represent the engineered colloids. He observed that on addition of 1% of nanoparticles to the normal uid, the uid thermal conductivity increases twice. Heat and mass transfer of Nano uids has attracted many researchers due to its prominent role in industry and technology such as electronics, transportation, biomedical (cancer therapy, drug delivery, etc.), micro-electronics, fuel cells, hybridpowered engines, etc. The nanoparticle concentration and size of the particle are the most important parameter for enhancing the heat transfer of nano uid as discussed by Buongiorno [4].
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