Dual diffusive convection of a nano-fluid MHD torque-stressing fluid

In this work, the flow of a torque-stressed nano-fluid in a vertical channel with heat and mass transfer in the presence of a magnetic field and taking into account Brownian motion and thermophoresis was simulated numerically using Matlab according to the bvp4c code. The non-linear partial differential equations governing this particular flow are transformed into a system of ordinary differential equations using the similarity technique. The influence of the parameters describing the behaviour of the problem under study on the fields of velocity, temperature, concentration and volume fraction of nanoparticles as well as on the coefficient of friction, Nusselt and Sherwood's number were highlighted in order to understand their effect on heat and mass transfer. The rheology of the nanofluid and the presence of a magnetic field have an impact on velocity and temperature profiles, while Brownian motion and thermophoresis parameters promote heat transfer.