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Based on both the characteristics of shear thinning and shear thickening fluids, the Sutterby fluid has various applications in engineering and industrial fields. Due to the dual nature of the Sutterby fluid, the motive of the current study is to scrutinize the variable physical effects on the Sutterby nanofluid flow subject to shear thickening and shear thinning behavior over biaxially stretchable exponential and nonlinear sheets. The steady flow mechanism with the variable magnetic field, partial slip effects, and variable heat source/sink is examined over both stretchable sheets. The analysis of mass and heat transfer is carried out with the mutual impacts of thermophoresis and Brownian motion through the Buongiorno model. Suitable transformations for both exponential and nonlinear sheets are implemented on the problem's constitutive equations. As a result, the nonlinear setup of ordinary differential equations is acquired which is further numerically analyzed through the bvp4c technique in MATLAB. The graphical explanation of temperature, velocity, and concentration distributions exhibits that the exponential sheet provides more significant results as compared to the nonlinear sheet. Further, this study revealed that for the shear thickening behavior of Sutterby nanofluid, the increasing values of Deborah number increase the axial velocity., Competing Interests: The corresponding author on behalf of all authors declares “no conflict of interest” with anyone exists., (© 2023 The Authors.)

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., Competing Interests: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper., (© 2023 The Authors.)

[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]