Search

Nanoliquids, the engineered liquids with isolated effectual nanoparticles have disclosed a surprising thermo-physical effects and added functionalities and therefore have supported an extensive sort of essential applications. In particular, nanoliquids have displayed pointedly improved aptitude of heat transfer as equated to traditional functioning liquids. The notable intention of current scrutiny is to explore the features of combined convective and stratification phenomena by utilizing Brownian and thermophoresis nanoparticles on 3D mixed convection flow of magnetite Carreau fluid influenced by a bidirectional stretching surface. The heat transport phenomenon is also betrothed in the manifestation of thermal radiation and the heat sink/source. By means of suitable conversions the nonlinear PDEs transformed into nonlinear ODEs. To identify the behavior of numerous somatic parameters, numerically bvp4c tactic has been worked to elucidate the governing ODEs. The graphical depiction is delineated and tables are organized for diverse physical parameters on Carreau nanofluid. It is scrutinized that the impact of magnetic parameter on both the velocity components is analogous and diminishes both the velocities for shear thinning/thickening liquids. Moreover, the present exploration reports that the mixed convection and thermal stratification parameters decline the liquid temperature and allied thickness of the thermal boundary layer for both shear thickening/thinning liquids.

The present study investigated the variable viscosity and multiple slips on two-dimensional magnetohydrodynamic Carreau fluids due to slendering sheet filled with microorganisms. The Carreau model is used to characterize the behavior of the fluids with shearing thickening properties using the various values of exponent of power law. The diffusion-thermo and thermos diffusion effects are taken into account. The nonlinear sets of ordinary differential equations are treated numerically by shooting technique with Runge–Kutta Fehlberg method. Different parameters like magnetic interaction parameter $$ M $$ , Weissenberg number $$ We $$ , the index of power law $$ m $$ , various multiple slip parameters like the velocity slip parameter $$ \tau_{1} $$ , the temperature jump parameter $$ \tau_{2} $$ , the concentration $$ \tau_{3} $$ , and the concentration jump parameter $$ \tau_{4} $$ are analyzed. The velocity, the skin friction, the rate of heat transport namely Nusselt number and rate of mass transport as Sherwood number are elaborated graphically and computed in tabular benchmark. The analysis found that the density of motile organism grows with the growing magnetic field parameter, diffusion-thermo number, thermo-diffusion number and Weissenberg number.

In this article, we establish a mathematical relation for unsteady 3D flow of a magneto-Carreau liquid over a bidirectional stretched surface. The impact of convective heat transfer for magneto-Carreau liquid is investigated in the presence of non-linear thermal radiation and heat absorption/generation. Additionally, in this analysis, the proposed model of heterogeneous–homogeneous processes with equivalent diffusivities for reactant and autocatalysis is considered. The modeled boundary layer equations are reduced to a system of nonlinear ordinary differential equations using the appropriate transformation. The resulting equations are then solved by utilizing two different techniques, namely the bvp4c function in Matlab and homotopy analysis method (HAM). The numerical data for the velocity, temperature and concentration fields are graphically sketched and characteristics of the relevant parameters are deliberated in detail. Moreover, the velocity gradients and the rate of heat transfer at the stretched surface for different values of the pertaining parameters are given in tabulated form. It is observed that the temperature profile enhance for higher values of magnetic parameter M and heat generation parameter $$(\delta >0)$$ , whereas it decline for augmented values of heat absorption $$(\delta