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The present work deals with the convective double diffusive magneto-cross-nanofluid flow across the permeable wedge. Inclined magnetic field, electro-osmosis, heat source-sink parameter, and solar radiation process are the manuscript's standout characteristics. The numerical simulation of the given flow results in a system of generic nonlinear differential equations, which are then exactly transformed into ordinary differential equations. The visual results are drawn using the bvp4c approach to see the effects of relevant changing elements across the porous wedge. The velocity field generally behaves as the increasing function of thermal and solutal Grashof number but surges along the nanofluid Grashof number. The Brownian diffusion coefficient surges the temperature and double-diffusivity, while minors the concentration. The radiation increases the temperature while lowering the concentration rate and the double diffusivity due to the relative importance of thermal radiation and conduction heat transfer. The nanofluid Lewis number particularly slows down the double-diffusivity profile. Electro-osmotic flow is a typical technique in chemical analysis, soil analysis and processing, and microfluidic devices employing structures with high-voltage surfaces. In the limiting case, current results are also compared to previously published literature. The graphical sketches of local skin friction, Nusselt number, and Sherwood number contour elaborated our analyses more precisely. [ABSTRACT FROM AUTHOR]

The significant thing in our analysis is to inspect the double-diffusivity convection for the hyperbolic tangent nanofluid model, under the spotlight effects of activation energy and viscosity over the wedge-shaped geometry. Activation energy enunciates chemical reaction and also Buongiorno model is applied to highlight the important features of the thermophoresis and Brownian diffusion coefficient. The convection of double diffusivity is illustrated through Soret and Dufour parameter. The mathematical modeling of demarcated flow produces a collection of non-linear partial differential equations, which are consequently transmuted into ordinary differential equations using suitable transformation. The graphical results for these ordinary differential equations are created using the Bvp4c approach. The effect of pertinent parameters on fluid flow, thermal variation, concentration and double diffusivity profiles are examined. The velocity field generally behaves as the decreasing function of thermal and nanofluid Grashof number but surges along the Solutal Grashof number. The Brownian diffusion coefficient surges the temperature profile and minors the concentration and double-diffusivity. Soret diffusivity surges the concentration distribution when fluid crosses the edge of the wedge. The nanofluid Lewis number particularly slows down the double-diffusivity profile. The graphical sketches of local skin friction, Nusselt number, Sherwood number, isothermal contour and streamlines flow elaborated our analyses more precisely. [ABSTRACT FROM AUTHOR]

The present manuscript deals the theoretical study of blood flow via peristaltic esophageal artery containing nanomaterial and migratory gyrotactic microorganisms. The noteworthy thing in our analysis is to inspect the blood flow with the spotlight impacts of hyperbolic tangent model, solar mimetic pump, magneto-hydrodynamic (MHD) system under the variable viscosity and conductivity. Activation energy articulates the chemical reaction and solar radiation are deliberated by using Rosseland's approximation. The mathematical modeling of defined flow yields the set of non-linear differential equations, which are subsequently converted into ordinary equations by means of proper transformation. By applying the BVP4C technique, the graphical findings are drawn, and the implications of several emerging factors on the blood characteristics are analyzed. We found that variable viscosity, Hartmann and Weissenberg number de-escalates the blood movement. The buoyancy parameter and Rayleigh number increase the speed of blood nanoparticles. The Brownian diffusion parameter boosts the concentration and minors the density of motile microorganisms. The prandtl number slows down the heating mechanism. The graphical interpretation of the local skin friction, local Nusselt number and Sherwood number are found against the different parameters. The trapping boluses of streamline pattern are discussed under the consideration of volumetric flow rate and Weissenberg number. [ABSTRACT FROM AUTHOR]

Mathematical model of peristaltic motion for Williamson blood flow through esophagus is addressed with the coordination of biomimetic solar based pump. The transfer of heat and mass is examined under the assumption of diversified viscosity, diffusivity and conductivity. The novelty of the present manuscript is the consolidation of vertical peristaltic system, blood flow over an esophagus, biomimetic solar pump, variable thermo-physical properties, involvement of activation energy for chemical reaction. For the implementation of solar mimetic system, the equations are modeled under the presence of Rosseland's approximation and taking the assumption of long wavelength and small Reynolds number. The application of activation energy is seems through the chemical reaction which is taken near the walls of esophagus. We concluded that the velocity profile reveals the parabolic behavior and Williamson as well as viscosity parameter reduces the velocity fields. The pumping augmented pumping and free pumping areas are addressed. The temperature distributions are exhibits in the form of straight lines and we concluded that thermal conductivity and radiation parameters boost the temperature profile. The activation energy and diffusivity parameter decreases the concentration distribution. Streamlines for peculiar quantities of Weissenberg number and volumetric flow rates are derived and isothermal contour is also examined. [ABSTRACT FROM AUTHOR]