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This investigation uses the Tiwari and Das nanofluid model to enhance the heat transfer rate in Sutterby nanofluid over a Riga plate. The effects of heat source/sink, viscosity dispersion, and mass flow for water-based fluids are also considered in this work. Sutterby fluid has been utilized to investigate the rheological features of nanofluids. The transverse Lorentz force produced by the Riga plate assists in the flow down the plate by producing an electromagnetic field. The main aim of this investigation is to evaluate the presence of two different types of nanoparticles in water, specifically silicon carbide (SiC) and copper (Cu). Dimensionless variables are first used to convert the mathematical model into a non-dimensional form. The similarity approach is then used to further rewrite the non-dimensional partial differential equations into a set of similarity equations. The bvp4c function in MATLAB software provides a numerical solution to these equations. The effects on temperature and velocity profiles of many physical factors, including the Reynold number, heat source/sink, and Deborah number, have been analyzed and presented. Furthermore, using tables, a detailed analysis of the skin friction coefficient and local Nusselt numbers is conducted. The results show that convective flow is suppressed when solid nanoparticles are added to the base fluid. The velocity distribution improves as Deborah and Reynold's numbers get a higher value. Also, the temperature field improves by incrementing exponential and thermal heat source/sink parameters. [ABSTRACT FROM AUTHOR]

In this article, flow behavior of magnetized Sutterby nanoliquid due to rotating permeable disk is investigated. Suspended solid nanoparticles are stabilized with the help of bioconvection and buoyancy forces. Energy and concentration relations are respectively modeled taking thermal radiation and Arrhenius energy. Additionally, binary chemical reaction in nanomaterial flow is accounted. Flow governing radiated Sutterby nanomaterial is expressed by dimensional equations using boundary layer suppositions. Using appropriate transformations, the dimensional system is altered to a nondimensional one. The nondimensional governing equations are solved via Runge–Kutta-Fehlberg method (RKF-45). The effective consequences of diverse flow regulating variables on fluid velocity, thermal field, mass concentration, and motile microorganisms density are studied via various curves. Surface drag force, heat transfer, density number, and Sherwood number are computed numerically and analyzed. It is observed that velocity components diminished versus rising Hartman number, Reynolds number, fluid material variable, and porosity parameter. Further, it is observed that chemical reaction and activation energy have opposite impacts on mass concentration. Major observations of current exploration are itemized at the end. [ABSTRACT FROM AUTHOR]

In this paper, we have investigated the electroosmotic-driven flow of Sutterby nanofluid under the peristaltic mechanism with the influence of a magnetic field. The flow of fluid is taken into the undulating asymmetrical microchannel. Using Debye-Hückel linearization approximation, the fluid velocity and temperature profiles were calculated. The nanofluid flow is considered in the static electric field on the horizontal side and the applied external magnetic field in the transversal direction. The flow pattern also considers thermal radiation and the Joule heating parameter. Governing fluid flow equations such as continuity, momentum and temperature equations are reduced in consideration of the long wavelength and the very tiny Reynolds number approximation. The resulting nonlinear equations are resolved numerically with the help of the built-in NDSolve function made available in the computational mathematical software MATHEMATICA. Graphical illustrations of the fluid velocity profile, temperature and Trapping phenomenon (Streamlines) have been explained in detail. It is found that increasing the values of Hartmann number velocity of the nanofluid diminishes, and the temperature of the fluid enhances. Results from the Sutterby nanofluid model might have a broad range of applications, such as cancer tissue destruction, disease diagnosis, etc. [ABSTRACT FROM AUTHOR]

In this analysis, Sutterby nanofluid flow with an induced magnetic field at a nonlinear stretching cylinder is deliberated. The effects of variable thermal conductivity, Darcy resistance, and viscous dissipation are discussed. Thermal radiation and chemical reaction are considered to analyze the impact on the nonlinear stretching cylinder. The governing model of the flow problem is developed under the boundary layer approximation in terms of partial differential equations. Partial differential equations are transformed into ordinary differential equations by performing the suitable transformations. A numerical structure is applied to explain ordinary differential equations. The impact of each governing physical parameters on the temperature, concentration, skin friction, Sherwood, and Nusselt number is presented in graphs and tabular form. Increment in Prandtl number, which declined the curves of the temperature function. Temperature declined because the Prandtl number declined the thermal thickness as well as reduce the temperature of the fluid. Temperature curves showed improvement as Eckert number values increased because the Eckert number is a ratio of kinetic energy to the specific enthalpy difference between the wall and the fluid. As a result, increasing the Eckert number causes the transformation of kinetic energy into internal energy via work done against viscous fluid stresses.

Abstract This study examines the electro-kinetic peristaltic movement of a Sutterby nanofluid under the influence of entropy generation and Bejan number. The fluid flow was introduced into the undulating asymmetrical microchannel. The Sutterby nanofluid flow was considered in the static electric field in the horizontal direction and the applied external magnetic field in the transverse direction. The mathematical formulation of the implications of Bejan number and entropy generation are also explored. The governing fluid flow equations, such as the continuity, momentum, and temperature equations, are reduced considering the tiny wave number and the small Reynolds number approximation. The resulting nonlinear equations were resolved numerically with the help of the built-in NDSolve coding through the computational mathematical software MATHEMATICA. Graphical illustrations of the fluid velocity profile, temperature, entropy generation, Bejan number, and trapping phenomenon (streamlines) are presented in detail. The results from the Sutterby nanofluid model might have a broad range of applications, such as cancer tissue destruction, disease diagnosis, etc. It was concluded that there is a decrease in the fluid velocity and an increase in the Hartmann number. [ABSTRACT FROM AUTHOR]

In this analysis, Sutterby nanofluid flow with an induced magnetic field at a nonlinear stretching cylinder is deliberated. The effects of variable thermal conductivity, Darcy resistance, and viscous dissipation are discussed. Thermal radiation and chemical reaction are considered to analyze the impact on the nonlinear stretching cylinder. The governing model of the flow problem is developed under the boundary layer approximation in terms of partial differential equations. Partial differential equations are transformed into ordinary differential equations by performing the suitable transformations. A numerical structure is applied to explain ordinary differential equations. The impact of each governing physical parameters on the temperature, concentration, skin friction, Sherwood, and Nusselt number is presented in graphs and tabular form. Increment in Prandtl number, which declined the curves of the temperature function. Temperature declined because the Prandtl number declined the thermal thickness as well as reduce the temperature of the fluid. Temperature curves showed improvement as Eckert number values increased because the Eckert number is a ratio of kinetic energy to the specific enthalpy difference between the wall and the fluid. As a result, increasing the Eckert number causes the transformation of kinetic energy into internal energy via work done against viscous fluid stresses. [ABSTRACT FROM AUTHOR]

The main of this article is to analyze magnetohydrodynamic bioconvective flow of Sutterby nanoliquid. Gyrotactic microorganism in presence of chemical reaction is addressed. Thermophoretic, magnetic field, random motion heat generation and radiation are discussed. Furthermore, Dufour and Soret behaviors are taken into account. Thermal conduction augmentation performance is discussed by utilization Boungiorno's model. Nonlinear PDE's (partial differential equations) are changed to ordinary system through appropriate variables. To developed computational solutions, we used the ND-solve technique. Results for temperature, microorganism field, liquid flow, and concentration are exhibited through different emerging variables. The physical quantities like Nusselt number, microorganism density number and solutal transport rate for various sundry variables are presented. Summary of main results re highlighted in the conclusions. Velocity reduces against magnetic field, while reverse trend seen for buoyancy ratio variable. Thermal distribution has an enhancing trend for magnetic and radiation variables. An enhancement in concentration distribution is seen for Soret number.

Owing to enhanced thermal impact of nanomaterials, different applications are suggested in engineering and industrial systems like heat transfer devices, energy generation, extrusion processes, engine cooling, thermal systems, heat exchanger, chemical processes, manufacturing systems, hybrid-powered plants etc. The current communication concerns the optimized flow of Sutterby nanofluid due to stretched surface in view of different thermal sources. The investigation is supported with the applications of external heat source, magnetic force and radiative phenomenon. The irreversibility investigation is deliberated with implementation of thermodynamics second law. The thermophoresis and random movement characteristics are also studied. Additionally, first order binary reaction is also examined. The nonlinear system of the governing problem is obtained which are numerically computed by s method. The physical aspects of prominent flow parameters are attributed graphically. Further, the analysis for entropy generation and Bejan number is focused. It is observed that the velocity profile increases due to Reynolds number and Deborah number. Larger Schmidt number reduces the concentration distribution. Further, the entropy generation is improved against Reynolds number and Brinkman parameter.

The Darcy-Frochheimer flow scheme is important in industries where a higher stream rate impact is a prominent occurrence, for illustration in, petroleum engineering. In this article, we examine the influence of Cattaneo-Christov heat fluxing on the Darcy-Frochheimer flowing of Sutterby nanofluid via stretchable surface with chemical reactive and heat radiative impacts. The highest-order nonlinear partial differential equation is addressed by utilizing the similarity function and a new set of the ordinary differential equation is developed. The obtained equations are then numerically examined by using the bvp4c technique in MATLAB. The graphical behavior for numerous aspects, such as velocity, solutal, thermal, drag coefficient, and heat transport are illustrated for particular non-dimensional variables. Skin fraction and velocity curve decline with the higher valuation of the Frochheimer number. An augmentation in the thermal curve due to the heat source/sink parameter, but a reverse pattern is observed for the Nusselt number. The reverse pattern is observed for the thermal curve and solutal curve via a higher Brownian motion parameter. Compared with the existing research, the outcomes demonstrate excellent congruence.

Nanofluids are playing a vital part in advancing practical life. The potential application of nanomaterials in a multitude of scenarios, such oil recovery, the melting of electronic systems in computers, cooling systems, the construction of fluid, cooling spirals, engineering and manufacturing, heat storage devices, and bioengineering. The microorganisms have a vital role to play in numerous applications, such as biological sciences, drugs, and biotechnology, biofuels processing, wastewater treatment, and food production. The current investigation exhibits a numerical model for Sutterby fluid with activation energy, thermal radiation, and bioconvection flowing past a stretching/shrinking wedge. The set of conservative governing partial differential equations (PDEs) is converted into a dimensionless ODEs system by using suitable similarity variables. The obtained new system of the model with dimensionless relative boundary conditions is tackled numerically by manipulating the famous shooting method through bvp4c solver in MATLAB coding. The physical and mathematical findings for profiles of velocity, temperature, concentration, and microbe dispersion owing to various controlling parameter inputs are displayed in tables and graphs. Flow velocity is shown to decrease as the bioconvection Rayleigh number increases. Moreover, the Prandtl number increases, the thermal field of the fluid decreases while it increases for the temperature ratio parameter. Furthermore, it is determined from this situation that the concentration field decreases as the Brownian motion parameter increases. The field of the microorganism decreases as the Peclet number increases. [ABSTRACT FROM AUTHOR]

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.

Peristalsis of nanofluid is significant in cancer treatment, ulcer treatment and industrial equipment. This study simulated the MHD peristaltic transport of Sutterby nanofluid with mixed convection and Hall current. Partial slip and convective conditions are imposed for flexible channel walls. Energy and concentration equations are modeled by considering the effects of Joule heating, thermal radiation, viscous dissipation and activation energy. Buongiorno nanofluid model is employed which features thermophoresis and Brownian movement aspects. The resulting nonlinear system of equations is numerically solved after employing the large wavelength and small Reynolds number supposition. Graphical analysis for the velocity, temperature, concentration, heat transfer coefficient and entropy generation is analyzed. It is observed that velocity has opposite behavior for mixed convection parameters. Temperature and heat transfer rate enhanced for Brownian movement and thermophoresis parameters. Concentration rises against larger activation energy and radiation variables. Further entropy declines against higher diffusion parameter. [ABSTRACT FROM AUTHOR]