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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.

This research communicates the thermal assessment of Sutterby nanofluid containing the gyrotactic microorganisms with solutal and Marangoni boundaries. The applications of melting phenomenon and thermal conductivity are also considered. The flow is confined by a stretched cylinder. The prospective of Brownian motion and thermophoresis diffusions are also taken account via Buongiorno nanofluid model. The problem is formulated with help of governing relations and equations which are altered into dimensionless form via appropriate variables. The numerical scheme based on shooting scheme is employed to access the solution. A comparative analysis is performed to verify the approximated solution. The observations reveal that the velocity profile enhanced with the Marangoni number while a declining velocity profile has been observed with Sutterby nanofluid parameter and Darcy resistance parameter. The nanofluid temperature get rise with thermal conductivity parameter and thermal Biot number. An arising profile of nanofluid concentration is observed for concentration conductivity parameter and buoyancy ratio parameter.

In this article, a Riga plate is exhibited with an electric magnetization actuator consisting of permanent magnets and electrodes assembled alternatively. This exhibition produces electromagnetic hydrodynamic phenomena over a fluid flow. A new study model is formed with the Sutterby nanofluid flow through the Riga plate, which is crucial to the structure of several industrial and entering advancements, including thermal nuclear reactors, flow metres and nuclear reactor design. This article addresses the entropy analysis of Sutterby nanofluid flow over the Riga plate. The Cattaneo–Christov heat and mass flux were used to examine the behaviour of heat and mass relaxation time. The bioconvective motile microorganisms and nanoparticles are taken into consideration. The system of equations for the current flow problems is converted from a highly non-linear partial system to an ordinary system through an appropriate transformation. The effect of the obtained variables on velocity, temperature, concentration and motile microorganism distributions are elaborated through the plots in detail. Further, the velocity distribution is enhanced for a greater Deborah number value and it is reduced for a higher Reynolds number for the two cases of pseudoplastic and dilatant flows. Microorganism distribution decreases with the increased magnitude of Peclet number, Bioconvection Lewis number and microorganism concentration difference number. Two types of graphical outputs are presented for the Sutterby fluid parameter (β = −2.5, β = 2.5). Finally, the validation of the present model is achieved with the previously available literature.

In this study, the feature of stagnant Sutterby nanofluid towards a wedge surface is analyzed under the impact of a variable external magnetic field. Instead of the traditional Fourier law, the realistic Cattaneo-Christov principle is incorporated in the energy equation to scrutinize the heat flow pattern by utilizing the non-homogeneous two-phase nanofluid model. The constitutive flow rules are transfigured into a nonlinear differential system via feasible mathematical alterations. Methodologically, the bvp4c numerical procedure is employed properly to derive accurate numerical solutions for the present boundary flow problem. By varying the values of the involved parameters of the governing equations, the behaviors of temperature, velocity, and concentration profiles are described graphically and interpreted thoroughly. In this attempt, the major finding is that the magnetic field accelerates the motion and declines the temperature and concentration fields in the performance of suction and injection. Moreover, the nanofluid parameters upsurge the heat transfer mechanism and decline the mass transport and the effect of drag forces in both situations of wall-through flow (i.e., suction and injection effects). Furthermore, the nanofluid concentration profile decays due to the strengthening in the thermophoresis phenomenon. As a useful application, the magnetic function trend along with the thermophoresis diffusion on the nanofluid flow field may be exerted broadly in the field of aerosol technology.

Mechanism of pharmaceutical procedures, nuclear reactor cooling, pace technology, thermal insulation, crushing, geothermal reservoirs and enhanced oil recovery involving chemically reactive systems has a significance in mass transport. Additionally, nanofluids with swimming microorganisms have great significance in medicine, cancer therapy, micro fluidics devices and enzyme biosensor. Main focus of present communication is to analyze the impact of melting phenomena and nonlinear chemical reactions aspects on transient bioconvection flow of sutterby nanoliquid with gyrotactic microorganisms and heat source/sink. Additionally, activation energy and nonlinear radiations influences are invoked. Furthermore, a novel revised nanofluid model disclosed by Kuznetsov and Nield is applied to measure heat and mass transport. The basic PDEs embodying the conservation of microorganisms, nanoparticle concentration, energy, momentum and mass are persuaded into highly nonlinear coupled ODEs. Numerical solutions are executed via Runge-Kutta Fehlberg (RK45) scheme for the presence and absence of melting process. Comparative analysis with existing study are performed and reflected in excellent agreement. It is interesting to notice that microorganism field and nanoparticle concentration are depressed due to augmentation of reaction rate parameter for M=0.0 and M=0.5. It is also pointed out that heat transfer rate is better for the case M=0.5 when compared to the case.

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.