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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]

The enormous potential of nanotechnology has drawn attention to many different fields. Using nanoparticles, bio-convection has become a key phenomenon in industrial and technical applications. Nanofluids have emerged as effective solutions for addressing complex heat transfer challenges in modern engineering. This study aims to develop a comprehensive three-dimensional model of Sutterby nanofluid flow with bio-convection, investigating the effects of nonlinear thermal radiation, gyrotactic microorganisms, and magnetic fields on thermal efficiency and entropy generation. By investigating entropy optimization, chemical processes, activation energy, viscous dissipation, and magnetic field effects, the research aims to improve Sutterby nanofluid efficiency. This model reveals the dynamics of Sutterby nanofluid behavior by using partial differential equations (PDEs) and successively converted into an ordinary differential equation (ODE) system. The converted equations are solved numerically using numerical technique bvp4c. The results of analyses show relationships between the concentration of nanofluid, Biot numbers, and microorganism profiles. The results indicate that while an increase in Biot number improves microorganism profiles, an increase in Lewis and Peclet numbers decreases nanofluid concentration. Critical elements that greatly affect mass distribution, heat transmission, and flow dynamics include magnetic fields, chemical processes, and activation energy. With the help of tables, the effects of physical parameters on skin friction, Nusselt numbers, and local Sherwood numbers are thoroughly investigated. [ABSTRACT FROM AUTHOR]

This paper examines the enactment of a two-dimensional, steady, non-Newtonian nanofluid flow over a stretching sheet. The utilization of magnetic influences acting in the direction normal to the Darcy–Forchheimer boundary layer flow of the Sutterby nanofluid with variable thermal conductivity is taken into consideration. This study takes into account the effects of thermophoresis and Brownian motion. The study found that a 15% increase in magnetic field strength resulted in a 10% increase in heat transfer rate. Similarly, a 20% increase in nanoparticle volume percentage causes a 12% increase in the convective heat transfer coefficient. The problem’s model is formulated in the form of partial differential equations (PDEs), transformed via similarity transformation into nonlinear ordinary differential equations (ODEs). Applying the finite difference method yields the solution to reduced equations. EMHD Darcy–Forchheimer flow and nanofluid dynamics are combined in cutting-edge technology. This is important for many industrial and technical applications. Moreover, providing a strong computational framework provides a precise simulation of the flow behavior. By providing insights into the intricate interactions between electromagnetic forces, porous medium effects, and variable thermal conductivity in nanofluids flow across a stretched sheet, this study makes an essential contribution to the science of fluid dynamics. This research is very significant and enlightening for researchers and professionals who are interested in the design and optimization of heat transfer systems. The fluid flow is examined thoroughly and graphically, and the relationship between the profiles of velocity, temperature, and concentration and other important physical limitations is investigated. The effect of various physical parameters on concentration, velocity, temperature, skin friction, Nusselt number and heat flow coefficient is verified and examined using graphs and tables. [ABSTRACT FROM AUTHOR]

Recently, the polymer methodologies, in addition to polymer melt, are actually the rheological occurrences containing the normal stresses, non-Newtonian viscous influence and fluctuating with respect to the time elastic properties. The Sutterby liquid that defines the governing model for extremely polymeric aqueous solutions is amongst the utmost essential non-Newtonian liquids. The scientists have established a massive obligation to re-establish exhausting Sutterby nanofluids for heat transfer with respect to the numerous uses of nanofluids. Here, in this paper, the thought of Sutterby nanofluid considering the aspects of activation energy has been elaborated. Additionally, the heat sink/source and magnetic properties have been studied. The suitable conversions have been utilized to attain the ordinary differential equations (ODEs) and solved via bvp4c algorithm. The study indicated that velocity field decays for magnetic factor; however, temperature field enhancing for Brownian and thermophoresis is a factor. Furthermore, activation energy and Lewis factors, respectively, have a reversed impact on the concentration field. [ABSTRACT FROM AUTHOR]

AbstractThe dynamics of partly ionized fluid flow, when subjected to a magnetic field, differ considerably from that of typical fluid flow. The main applications of the partially ionized fluids including thermal arc plasma cutting, gas discharge lamps, lighting, and plasma medicine have made them vital when discussed under the effects of the applied magnetic field. This study discusses the flow of the Sutterby nanofluid over a stretching disk with Hall and ion slip effects amalgamated with Cattaneo–Christov double diffusion. The uniqueness of the envisaged model is enriched by considering the gyrotactic microorganisms. The system of governing equations is normalized and addressed numerically by applying the bvp4c package of MATLAB software. The outcomes are depicted via graphs and in tabularized form. It is perceived that fluid velocity is affected by the Hall current parameter. For the bioconvection Lewis number, a decline in the microorganism distribution is also observed. In addition, it is also perceived that the fluid concentration is enhanced against mass diffusion relaxation stress. The validity of the envisioned model by comparing it with a published study is also a part of this exploration. [ABSTRACT FROM AUTHOR]

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 the present article, radiative Sutterby nanofluid flow over a stretchable cylinder is considered. The suspended swimming microorganisms have been deliberated in the fluid analysis. Different processes such as Brownian motion, thermophoresis, Joules heating, and viscous dissipation have been inspected in the presences of stratification parameters. The solutions for flow profiles have been obtained via optimal homotopy analysis method. Impacts of different physical involved variables on non‐dimensional velocity, temperature, nanofluid concentration, and concentration of density of swimming microorganisms have been debated. Coefficient of skin friction, local Nusselt number, Sherwood number, and density of motile organisms have been calculated. The results reveal that Sutterby fluid parameter enhances the skin friction and has a reverse impact on the velocity, while an increase in stratification causes a declination in the flow boundary layers. The temperature of the flow is also seen to be boosted by the increment in Brownian motion parameter. Analysis of entropy generation shows that the concentration difference parameter maximizes the entropy and minimizes the dimensionless Bejan number. [ABSTRACT FROM AUTHOR]

The aim of this study must increase our understanding of heat and mass transfer in non-Newtonian Sutterby fluids, which are widely used in industries like polymer production. Especially when examined through the perspective of the Cattaneo–Christov heat flow theory, it greatly enhances diffusivity and thermal conductivity and introduces new theoretical possibilities by accounting for dynamic fluid characteristics. The impact of heat generation and absorption, mixed convection, and nonlinear thermal radiation along a stretching cylinder are all thoroughly examined in this work, which makes it significant. The convective boundary conditions are considered in this study. The formulated system of partial differential equations (PDEs) is converted into system of ordinary differential equations (ODEs) by employing appropriate similarity transformation. This adopted set of ordinary differential equation is tackled computationally utilizing the RK-Fehlberg 4th-order approach based on shooting technique. The impression of significant physical variable on thermal, velocity, heat transport, concentration, streamline, and mass transport are discussed graphically. The findings indicate that the velocity curve diminishes as the Sutterby fluid parameter increases. The thermal profile is enhanced by increasing the temperature ratio parameter and Biot number. Higher levels of the Lewis number are associated with a reversal tendency observed in the concentration profile and local Sherwood number. [ABSTRACT FROM AUTHOR]

A realistic approach to upsurge heat transference performance encompasses elevating the thermal attributes of working liquid. Nanoliquids (engendered by diffusing nano-particles in base liquid) have appeared as a favorable solution. Such liquids can be effectually deployed as either fundamental or alternative coolants in thermonuclear reactors because of their better thermal attributes. This communication scrutinizes the characteristics of magnetically driven Sutterby nanoliquid dual diffusive flow confined by squeezed regime. Convective flow based on varying thermal-solutal constraints (i.e., dual stratification) is modeled. Thermal analysis features radiative heat-transfer together with convective heating while mass-transfer characteristics are scrutinized under chemical reaction. Relevant transformations are deployed to reduce partial differential mathematical expressions into the ordinary mathematical expressions. Efficient numerical scheme is deployed for nonlinear computational analysis. The derived numerical solutions are utilized to inspect how distinct physically operating factors impact flow velocity together with nanoliquid concentration, drag coefficient and temperature. It is apparent that nanoliquid temperature upsurges for escalating estimations of diffusion factors (Brownian and thermophoretic). Furthermore, the drag coefficient decays subject to buoyancy factors. [ABSTRACT FROM AUTHOR]

The classical viscous theory is limited to illustrating the characteristics of several materials like pseudoplastic and dilatant fluids. Sutterby fluid has the features of shear thinning and shear thickening fluids because of its Power law index. Therefore, this study considered an incompressible, time-independent and electrically conducting Sutterby fluid flow across a rotating and stretchable disk. The disk experiences the effect of porous space. The energy equation has variable conductivity, heat source and thermal relaxation time features while mass equation exploits the influence of chemical reaction. The aspects of Buongiorno nanofluid theory are also examined in the Sutterby flow model. The phenomenon of Stefan blowing is analysed through mass transfer rate at the surface of disk. The flow expressions are first transferred into a new system of single independent variable and then treated numerically via Runge–Kutta–Fehlberg (RKF) method combined through shooting process. The behaviour of distinguished physical quantities is discussed graphically on momentum, mass species and thermal fields. The numeric data of drag force, Sherwood number and Nusselt number is calculated against several physical parameters. [ABSTRACT FROM AUTHOR]

In this study, the impact of activation energy and transiting parameters on the two-dimensional stagnation point flow of magnetized Sutterby nanofluid of nano-biofilm incorporating with microorganisms over the porous surface has been examined. Prior research suggests that both the fluid viscosity and thermal conductance are temperature-dependent. Also, the effects of solutal concentration on fluid viscosity, heat capacity and nanofluid properties have been elaborated. In recent years, numerous technical strategies comprising hydromagnetic fluxes and thermal intensification in porosity media, like molding, condenser heat exchanger, liquefied metal filtration, fusion control and nuclear reactor coolant, have been addressed. According to numerous empirical studies, the viscosity and thermal conductivity of the nanoparticles are largely dependent on the intensity of nanoparticles rather than the temperature. The classical RK-4 method with shooting technique has been used. The significance of involving parameters in the domains of heat, velocity, density and concentration has been illustrated. The effect of nondimensional parameters on the skin friction factor, Nusselt number and Sherwood number has been discussed. The nanoparticle density increases with the activating energy effects and thermophoresis factor and rapidly decreases for Lewis number and Brownian factor. The velocity, temperature and concentration profiles increase as the concentration-dependent properties do, but all physical quantities deteriorate for all concentration-varying factors. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

Owing to the growing interest of bioconvection flow of nanomaterials, many investigations on this topic have been performed, especially in this decade. The bioconvection flow of nanofluid includes some novel significance in era of biotechnology and bio-engineering like bio-fuels, microbial enhanced oil recovery, enzymes, pharmaceutical applications, petroleum engineering, etc. The current analysis aims to explore the various thermal properties of Sutterby nanofluid over rotating and stretchable disks with external consequences of variable thermal conductivity, heat absorption/generation consequences, activation energy and thermal radiation. The considered flow problem is changed into dimensionless form with convenient variables. The numerical structure for the obtained non-dimensional equations is numerically accessed with built-in shooting technique. The consequences of various physical parameters are observed for enhancement of velocity, temperature, concentration and motile microorganism. It is noted that both axial and tangential velocity components decrease with Reynolds number and buoyancy ratio parameter. The nanofluid concentration improves with activation energy and concentration Biot number. Moreover, an improved microorganisms profile is noticed with microorganism Biot number and bioconvection Rayleigh number. [ABSTRACT FROM AUTHOR]

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]

A theoretical study is conducted for magnetohydrodynamic pumping of electroosmotic non-Newtonian physiological nanoliquids through a two-dimensional microfluidic channel. The Sutterby rheological nanofluid model is utilized to characterize the liquid. The normalized two-dimensional conservation equations for mass, longitudinal and transverse momentum, energy and solutal concentration are reduced with lubrication approximations (long wavelength and low Reynolds number assumptions). A coordinate transformation is employed to map the unsteady problem from the wave laboratory frame to a steady problem in the wave frame. Slip and convective conditions are imposed at the channel walls. The emerging boundary value problem is solved numerically using MATLAB software. The flow is effectively controlled by many geometric parameters, viz., electroosmosis, Hartmann and Sutterby fluid parameters. It is observed from the analysis that the rise in magnetic and electroosmosis effects leads to a reduction in the axial velocity field. The radiation parameter decreases the temperature for the positive value of Joule heating parameter and the trend is revered for the negative Joule heating parameter. This study is encouraged by exploring the nanofluid dynamics in peristaltic transport as symbolized by heat transport in biological flows, novel pharmacodynamics pumps and gastrointestinal motility enhancement. The study is also relevant to MHD biomimetic blood pumps. [ABSTRACT FROM AUTHOR]

[Display omitted] • Sutterby nanofluid flow near a Riga plate with DF medium has been examined. • Swimming microorganisms are added in nanofluids to avoid nanoparticles' aggregations. • Impacts of activation energy, thermal radiation, and slippage have been emphasized. • The numerical comparison of dilatant and pseudo-plastic aspects of Sutterby fluid is given. • The outcomes of this model provide initial guidance for biological and ecological challenges. In modern era, thermo-migration of microorganisms is an appealing research topic in bio-nanotechnology, bio engineering, and biomedical. In this context, a mathematical model describing thermo-bioconvection of Sutterby nanofluid flow including motile gyrotactic microorganisms near a perforated Riga plate under the physical impacts of heat radiation, and Arrhenius kinetics associated with binary chemical reaction is formulated and simulated here. The Darcy-Forchheimer (DF) law is applied to determine the porosity of porous media. The Grinberg term is taken for the Lorentz force owing to the parallel Riga plate wall. Appropriate translations are discharged to turn the constitutive partial differential equations (PDEs) into ordinary differential equations (ODEs), that are numerically computed by opting the Runge–Kutta-Fehlberg method (RKF-45) along with shooting strategy. The physical insights of various controlling variables on the transport profiles, Sherwood number, Nusselt number, and microorganisms density number are exemplified through requisite graphs and tables. It must be admitted that with enlarging Darcy number, the nanofluid velocity declines, while Forchheimer number has opposite consequence on it. The motile microorganisms density sharply decreases for improving values of activation parameter. The present modeling would provide preliminary guidances in a variety of biotechnological and industrial applications. [ABSTRACT FROM AUTHOR]

This exploration addresses the boundary layer flow of Sutterby nanofluid by a stretched cylinder by incorporating the revised models for heat and mass transmissions by engaging Cattaneo–Christov theory. A mathematical model is developed under boundary layer analysis. The physical phenomenon is firstly derived in the form of partial differential equations by engaging the conservation laws. Modified Darcy's law characterizes the porous medium. The nonlinear equations for the proposed model are analyzed optimally and dynamically. Nonlinear partial differential equations (PDEs) through conservation laws of mass, momentum, energy and concentration are established. Numerical solutions of the nonlinear systems are obtained by Optimal homotopy analysis method (OHAM). Stream plots are given for velocity solution. Graphs of velocity, temperature and concentration profiles are sketched and discussed with physical significances. It is reported that escalating values of the magnetic parameter boost the fluid temperature and concentration whereas the opposite impact on velocity is portrayed. Moreover, temperature and concentration fields decreases by growing the values of thermal and solutal relaxation parameters. • Boundary layer equations for heat, mass and momentum are presented in cylindrical coordinates. • Flow is produced due to the stretching of the cylinder. • Error analysis is presented in order to show the reliability of the scheme. • Stream plot for velocity are plotted. • Mounting values of Prandtl number lessen the temperature field. [ABSTRACT FROM AUTHOR]