Numerical solution of Rosseland’s radiative and magnetic field effects for Cu-Kerosene and Cu-water nanofluids of Darcy-Forchheimer flow through squeezing motion

Abstract

Objective: The goal of this research is to examine the effects of a squeezing motion of magnetohydrodynamic (MHD), Darcy–Forchheimer nanofluids that comprises Copper nanoparticles suspended in kerosene fluid and Copper nanoparticles in host fluid water flow. Rosseland’s radiative flux and viscous dissipation are taken into account. The Rosseland approximation's thermal radiation is a factor in the energy equation. Squeeze test are usually use to determine the rheological properties of highly viscous nanofluid. Squeezing motion of Cu/water and Cu/Kerosene investigates the viscosity of nanofluids which is essential for the determining the thermo-fluidic behavior of heat transfer fluids. Methodology: The governing mathematical model is simplified via the boundary layer assumptions and then translated into non-dimensional representations by suitable transformations. A numerical approach named bvp4c is used to get the solutions of the governing ODEs with given values of physical parameters. Bvp4c is finite difference code implementing in Lobatto IIIa techniques. A collected polynomial through Lobbato IIIa solver yields a C1-continous results which is convergent in the integration interval up to fourth order accuracy. The flow and energy characteristics through relevant parameters have been analyzed in graphical and tabulation representation. Different characteristics, such as skin friction and the Nusselt number, are taken into account while calculating velocity and temperature profiles. Results: The outcomes indicate that squeezing parameter slow down the flow field in the case of sheets are far away from each other, when both sheets come closer, velocity rise for the squeezing quantity. In the presence of squeezing motion of plates, the temperature rises significantly when volume fractions range is high. Local Nusselt values are much higher for Cu-Kerosene as compared to Cu-water while taking volume fraction with other physical parameters.

Keywords

• Nanofluid
• Cu-water and Cu kerosene
• Rosselend’s thermal radiation
• Darcy-Forchheimer model
• Bvp4c numerical approach