Improvement for engineering applications through a dissipative Carreau nanofluid fluid flow due to a nonlinearly stretching sheet with thermal radiation

Abstract

Due to its important applications in petroleum industries, biomedical engineering and geothermal reservoirs, a numerical analysis is performed to study the cooling process using a model of nanofluid flow and heat transfer due to a surface embedded in a porous medium, taking into account the presence of thermal radiation and viscous dissipation phenomenon. Ordinary differential equations (ODEs) are recovered from boundary flow equations using appropriate similarity transformations. The shooting technique is used to solve these ordinary differential equations numerically. In addition, all parameters influencing the problem that have the potential to improve the efficiency of cooling operations will be investigated. Graphical analysis is used to examine how various variables behave in relation to velocity, temperature, and concentration. Additionally calculated and studied are the numerical values of skin-friction coefficients, the local Nusselt number, and the local Sherwood number. In order to validate the numerical results, comparisons with previously published data in the literature are lastly made. There is wonderful harmony. The main findings indicate that the temperature and the concentration are both enhanced, but the velocity field is reduced by the magnetic and viscosity factors. Also, it is observed that the Nusselt number and skin friction coefficient fall at larger values of the Brownian parameter. Furthermore, it is discovered that the changes in the power-law index parameter have a significant impact on the thickness of the momentum and thermal boundary layers.