Pulsating Hydromagnetic Flow of Chemically Reactive Oldroyd-B Nanofluid in a Channel with Brownian Motion, Thermophoresis, and Joule Heating

Abstract

In the present study, the magnetohydrodynamic pulsating flow of chemically reacting Oldroyd-B nanoliquid via channel with the impressions of Ohmic heating, radiative heat and viscous dissipation is studied. The ruling PDEs (partial differential equations) are changed into ODEs (Ordinary differential equations) by utilizing the perturbation procedure and numerically deciphered by adopting the 4th order Runge-Kutta approach with the aid of the shooting process. The novelty of the current work is to inspect the pulsating flow of Oldroyd-B nanoliquid via channel in the occurrence of an applied magnetic field by deploying the Buongiorno nanofluid model. The application of the proposed physical model is energy production, heating and cooling processes, thermoelectric devices, bio-medical applications like brain tumours, cancer treatment, drug targeting. Detailed analysis on the impacts of several pertinent parameters for velocity, temperature, nanoparticles concentration, rates of heat and mass transfer is done. The outcomes predict that the velocity of nanoliquid is improved with augmenting frequency parameter while it is reduced with acceleration in Hartmann number. The temperature rises with an improvement of thermophoresis, viscous dissipation, and Brownian motion while it falls for a given rise in Hartmann number and thermal radiation. Further, the nanoparticle concentration rises with an increasing Brownian motion while it falls over rising chemical reaction, thermophoresis, and Lewis number.