Analysis of energy and momentum transport for Casson nanofluid in a microchannel with radiation and chemical reaction effects

Abstract

ABSTRACT The study of Casson nanofluid plays a prominent role in biomedicine, magnetic resonance imaging and thermal enhancement of energy system due to the eminence of its thermophysical properties. By considering various practical applications, in this article the steady, laminar, electromagnetohydrodynamic flow of Casson nanofluid across parallel plates with the effect of Hall current, chemical reaction, modified Darcy's law and Joule heating have been taken into consideration. Gold and Silver nanoparticles of sphere shape are considered in blood taken as conventional base fluid with volume fraction of 1%. However, for comparison, other shapes of nanoparticles are also considered. The system of dimensional governing equations of nanofluid are converted to dimensionless set of equations using pertinent non-dimensional quantities. The analytical solutions are presented for the system of equations. The obtained exact solution for nanofluid velocity, nanofluid temperature, nanofluid concentration, Sherwood number, Nusselt number and shear stress are displayed graphically to see the effectiveness of sundry parameters. It is found that the velocity and temperature decreases, while concentration of Ag-blood and Au-blood rises with increased values of nanoparticle volume fraction. Performance of nanoparticle of sphere shape is lowest and lamina shape is highest in terms of heat and mass transfer. The present study may be useful in further studies of tumour therapy, biomedical imaging and cancer therapy.