Significance of Joule heating for radiative peristaltic flow of couple stress magnetic nanofluid

Abstract

Nanofluids are gaining more importance in heat transfer applications because of their excellent thermal features, such as larger thermal conductivity, enhanced convective heat transfer coefficients, and better thermal stability. In a range of technical applications, including cooling structures, exchangers for heat, and thermal energy storage systems, they have the potential to increase the efficiency of heat transfer. Main aim is to address the peristalsis of couple-stress nanomaterial in a channel subject to partial slip conditions. Channel walls are compliant. Buongiorno model for thermophoresis and Brownian motion is accounted. Energy equation is modeled with considering the features of Ohmic heating and thermal radiation. The model is initially developed as a set of non-linear partial differential equations (PDEs). Using th appropriate similarity transformations, these are turned into a set of dimensionless ordinary differential equations (ODEs). The governing system of ODEs is solved by using numerical technique NDsolve. Detailed analysis for concentration, temperature, velocity, heat transfer rate, pressure gradient, skin friction coefficient, Sherwood and Nusselt numbers are analyzed. Reduction of problems with small Reynolds number and large wavelength is made. Concentration and velocity have reverse trends for higher couple stress fluid parameter. In addition, the radiation and Hartman number behave in an opposite sense for temperature. Rate of heat transfer is significantly accelerated by nanoparticles. Further, Nusselt number increases enhances via Brinkman number.