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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]

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.

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]

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]

[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]