The present article discusses the impact of microbial activity by considering Sutterby nanofluid over a stretching surface with the Brownian motion and porous medium. Thermophoretic effects are the measure concerned to balance the temperature of the fluid to generate the improved results. We include these effects in our model with some other parameters like Brownian motion and microbial activity. The stratification phenomenon is considered for the evaluation of heat generation/absorption over the horizontal sheet in the Sutterby nanofluid. The porous medium and chemical reaction with microbial activity is further analyzed in an incompressible Sutterby nanofluid. With the help of some suitable similarity transformations, the initial boundary conditions and the governing partial differential equations of our model are converted into the coupled structure of ordinary differential equations and final boundary conditions. The Spectral quasilinearization method (SQLM) is used to numerically solve these ordinary differential equations to evaluate the impacts of various parameters taken in our model. The graphical representation of different parameters is analyzed for the flow, temperature, solutal and microbial distribution. The coefficients of physical interest are also analyzed and show good results in favor. The rise of nanofluid parameters declines the flow profile of the fluid while enhancing the temperature profile and falling for the thermal stratification phenomenon. The Sutterby nanofluid model also incorporates the behavior of dilatant solutions and pseudoplastic which is helpful in various engineering processes and industries. This model is ideal for polymeric melts as well as high polymer resolutions.

The radiation and thermal diffusion effects on mixed convection flow of couple stress fluid through a channel are investigated. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations. The resulting equations are then solved using the Spectral Quasi-linearization Method (QLM). The results, which are discussed with the aid of the dimensionless parameters entering the problem, are seen to depend sensitively on the parameters.

This article concentrates on the effect of MHD heat mass transfer on the stagnation point nanofluid flow over a stretching or shrinking sheet with homogeneous-heterogeneous reactions. The flow analysis is disclosed in the neighborhood of stagnation point. Features of heat transport are characterized with Newtonian heating. The homogeneous-heterogeneous chemical reaction between the fluid and diffusing species is included in the mass diffusion equation. The MHD stagnation boundary layer flow is explored in the presence of heat generation/absorption. Numerical convergent solutions are computed via the spectral quasi-linearization method (SQLM). The physical aspects of different parameters are discussed through graphs.

The present work illustrates the variable viscosity of dust nanofluid runs over a permeable stretched sheet with thermal radiation. The problem has been modelled mathematically introducing the mixed convective condition and magnetic effect. Additionally analysis of entropy generation and Bejan number provides the fine points of the flow. The of model equations are transformed into non-linear ordinary differential equations which are then transformed into linear form using the spectral quasi-linearization method (SQLM) for direct Taylor series expansions that can be applied to non-linear terms in order to linearize them. The spectral collocation approach is then applied to solve the resulting linearized system of equations. The validity of our model is established using relative entropy generation analysis. A convergence schematic was obtained graphically. Consequence of various parameters on flow features have been delivered via graphs. Some important findings reported in this study that entropy generation analysis have significant impact in controlling the rate of heat transfer in the boundary layer region. The paper acquires realistic numerical explanations for rapidly convergent solutions using the Spectral quasi-linearization method. Convergence of the numerical solutions was monitored using the convergence graph. The initial guess values are automatically satisfied the boundary conditions. The resulting equations are then integrated using the Spectral quasi-linearization methods. The influence of radiation, heat and mass parameters on the flow are made appropriately via graphs. The effects of varying certain physical parameters of interest are examined and presented.