OHAM Analysis on Bio-convective Flow of Partial Differential Equations of Casson Nanofluid Under Thermal Radiation Impact Past over a Stretching Sheet

The combined impacts of nonlinear thermal radiation and energy of activation in the Casson’s flow of the boundary layer nanofluid across a stretched surface are examined in the current article while taking Brownian motion into account. The transformation of similarity is used to first transform the fundamental equations, and after that, the following equations are processed numerically. The energy equation with nonlinear expressions also makes use of the additional properties of thermal radiation. Additionally, the present continuation additionally takes the effect of activation energy into account, making the study highly flexible. Analysis is done on the effect of many physical parameters on the velocity, concentration, and temperature fields, including the activation energy, Lewis number, thermal radiation, and others. In addition to this, the practical applications of physical parameters on the reduced Sherwood number and Nusselt number are discussed. It is determined from the computed results that the local Nusselt number is reduced when the results of the thermophoretic parameter, Brownian parameter, and radiation parameter are added. The temperature profile is boosted by an increment in radiation parameter, while a raise in thermophoresis shows a rise in the concentration profile. Making use of the required factors of similarity, the resulting nonlinear equations (PDEs) are converted into nonlinear ODEs. The BVPh2.0 in the Mathematica software was used to quantitatively evaluate the non-linear ODEs. According to the study, the existence of activation energy can improve reaction processes more than its absence. The stated results are said to be valuable for industrial processes and improvements in heat and energy resources based on the calculated scientific conclusions.