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In the recent years, rapid developments in nanotechnology have developed a great prospects for researchers to check up. Thermal performance of nanofluid is well scrutinized by global scientists. Keeping aforesaid pragmatism of nanofluids, we have considered Sutterby liquid under thermophoretic and Brownian movement's aspects. Radiation and stratification phenomenon for thermal analysis of Sutterby nanoliquid are considered. By invoking some appropriate transformations and boundary conditions the given partial differential equations are converted into coupled system of ODEs (ordinary differential equations). Then by using Bvp4c algorithm, we resolved these ODEs numerically. Graphs are designed to check the behavior of appropriate parameters on velocity, temperature, and concentration distribution. Consequences extracts that increase in Hartmann number decays the velocity profile whereas opposite behavior is accounted for temperature distribution. It is also observed that for larger values of thermal stratification phenomenon deteriorates the transportation rate of heat. Furthermore, Sutterby fluid model calculates the features of pseudoplastic plus dilatant solutions. This study is very suitable for extraordinary polymer resolutions plus polymer melts.

In this article, a Riga plate is exhibited with an electric magnetization actuator consisting of permanent magnets and electrodes assembled alternatively. This Riga plate creates an electric and magnetic field, where a transverse Lorentz force is generated that contributes to the flow along the plate. A new study field has been created by Sutterby nanofluid flows down the Riga plate, which is crucial to the creation of several industrial advancements, including thermal nuclear reactors, flow metres, and nuclear reactor design. This article addresses the second law analysis of MHD Sutter by nanofluid over a stretching sheet with the Riga plate. The Cattaneo–Christov Double Diffusion heat and mass flux have been created to examine the behaviour of relaxation time. The bioconvection of motile microorganisms and chemical reactions are taken into consideration. Similarity transformations are used to make the governing equations non-dimensional ordinary differential equations (ODE’s) that are subsequently solved through an efficient and powerful analytic technique, the homotopy analysis method (HAM). The effect of pertained variables on velocity, temperature, concentration, and motile microorganism distributions are elaborated through the plot in detail. Further, the velocity distribution enhances and reduces for greater value Deborah number and Reynold number for the two cases of pseudoplastic and dilatant flow. Microorganism distribution decreases with the augmented magnitude of Peclet number (Pe), Bioconvection Lewis number (Lb), and microorganism concentration difference number (ϖ). The entropy production distribution is increased for the greater estimations of the Reynolds number (ReL) and Brinkman parameter (Br). Two sets of graphical outputs are presented for the Sutterby fluid parameter. Finally, for the justification of these outcomes, tables of comparison are made with various variables.

The main objective of the recent article is to investigate the flow of Sutterby nanofluid with applied magnetic field and convective boundary aspects referred to as two coaxially rotating stretching disks. Nanofluids are a combination of simple fluids and small particles, the particles are evenly distributed in the base fluid and have impressive uses in thermal transport sources. Nanofluids play a significant role in enhancing the heat transfer coefficient in fluids via the suspension of nanomaterials in the base fluids. This study is specific to involve non-Newtonian base fluid namely the Sutterby model. In addition, non-uniform thermal conductivity, non-linear thermal radiation, and bioconvection of motile microorganism's characteristics are taken into consideration. Bioconvection is a process in which the motion of motile microorganisms is addressed which may be helpful to avoid the probable settling of nano entities. PDEs such as momentum, boundary conditions, temperature, volume fraction, and motile microorganism density are upgraded into a model of non-linear ordinary differential equations employing appropriate similarity transformation. Transmuted dimensionless ODEs are tackled with shooting techniques and outcomes of prominent physical parameters are attained with a built-in bvp4c solver via MATLAB (Lobatto-IIIa) computational software. Inspirations of interesting physical parameters against the velocity field, temperature field, the solutal field of species, and microorganisms' profile are elaborated and briefly investigated numerically and graphically. The flow speed becomes faster directly with mixed convection parameter but it retards against magnetic field parameter and bioconvection Rayleigh number. The fluid temperature enhances in direct response to the parameters of thermal conductivity, thermophoresis, temperature ratio, and Biot number.