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In the present analysis, tangent hyperbolic fluid is assumed to be flowing over a stretching cylinder. The thermophysical characteristics of fluids are assumed to be variable. The thermal and solutal rates are investigated by using viscous dissipation, activation energy, and thermal radiation. The governing equations occur in the form of partial differential equations, and then these equations are transformed into ordinary differential equations by using similarity transformations. Then, by using the BVP4C method, we obtain the numerical solution to the equations. The impacts of the involved parameters, such as Prandtl, Weissenberg, Schmidt, Eckert number, viscosity coefficient, and thermal radiation parameters, are presented through the graphs. The velocity profile decreases due to the power law index, Weissenberg number, and temperature-dependent viscosity. However, it increases due to the Darcy-Forchheimer number and curvature parameter. The temperature distribution rises with the Eckert number, curvature parameter, and radiation parameter. On the other hand, it declined for the Prandtl number and power law index. Similarly, the concentration profile increases for the activation energy, reaction rate, and temperature difference parameter, but it decreases for the curvature parameter and Schmidt number. • Darcy-Forchheimer and temperature dependent viscosity of tangent hyperbolic fluid. • Viscous dissipation, activation enrgy and thermal radiation is assumed. • The MATLAB programme is used to graphically analyze the behavior. • Stretching cylinder is considered. [ABSTRACT FROM AUTHOR]

AbstractIn the present work, the author used a multistep numerical approach, namely the Milne (Predictor and Corrector) method with the Runge-Kutta method, to discuss the synergistic impacts of magnetohydrodynamic (MHD) and stagnation point flow involving a tangent hyperbolic fluid on the surface of a stretched cylinder. The flow field study is constructed with the impact of heat source/sink, chemically reactive species, and the joule heating effect. The phenomenon of concentration and temperature stratification is also taken into account. The Soret and Dufour effects are used to determine the solutal and thermal performance. To create a mathematical model of a physical occurrence, momentum, energy, and concentration laws are employed. The appropriate transformations can be used to convert nonlinear partial differential equations into ordinary differential equations. The Milne (Predictor-Corrector) method along with the Runge-Kutta 4th order scheme is used to determine the numerical findings. The graphical and numerical findings are depicted to show how several parameters influence the respective fields. The finding indicates that the velocity of fluid reduces by making variation in the Hartmann number whereas the temperature region enhances due to Hartmann number. The movement of fluid increases when the stretching ratio parameter is higher but decreases when the Weissenberg number and curvature parameter are higher. The Soret number reduces the concentration region and Dufour number enhances the temperature profile. The temperature distribution rises with higher inputs of the heat source but declines for the heat sink constrain and thermal stratification coefficient. Similarly, the concentration region upsurges for the stretching ratio parameter, while it decreases for the chemical reaction rate and solutal stratification. [ABSTRACT FROM AUTHOR]

The present approach aims to describe the Soret and Dufour effects on the peristaltic flow of heat and mass transfer for two-dimensional tangent hyperbolic fluid model having cilia walls and electro-osmotic phenomenon in an asymmetric channel. To construct the governing equations, this model employs the long wavelength and low Reynolds number approach. The peristaltic phenomenon due to pressure with electro-osmotic flow have been developed. The flow also comprises of heat and mass rate and this phenomenon have been investigated along with viscous dissipation. The impacts of relevant variables on the velocity, temperature and concentration have been examined by using the graphical results in MATHEMATICA. Overall, the objectives of this work involve a comprehensive investigation of the complex interplay between various physical effects and fluid behavior within an asymmetric channel. This research aims to provide insights into the behavior of the system and its potential applications, especially in fields like microfluidics, biotechnology or materials science. [ABSTRACT FROM AUTHOR]