Search

This attempt demonstrates the nature of mass and heat transportation in non-Newtonian Reiner–Philippoff liquid flow over moving surface by considering zero and nonzero normal mass flux conditions and transverse magnetic field. Thermophoresis and Brownian movement is accounted due to the Buongiorno model of nanofluid. The expressions of flow are reframed through appropriate variables into pairs of self-similar expressions. Further, these self-similar expressions are executed numerically through the Shooting procedure (Runge–Kutta 4th order). Numerical benchmarks and graphical illustrations are prepared to visualize the role of influential constraints on interesting quantities. It is observed that Lorentz force is beneficial in obtaining effective velocity and heat transfer. Improvement in thermophoresis factor enriches temperature field in case of active control while reverse nature is observed in passive control situation. [ABSTRACT FROM AUTHOR]

Due to high sensitivity of fluid particles to temperature changes, the thermophysical characteristics of fluids are known to exhibit significant variations when exposed to temperature rise, which can impact the overall efficiency of conveying fluid substances in manufacturing processes across different surfaces and media. Industrial and mechanical processes such as aerodynamic extrusion in plastic sheets, fiber technology and biological dynamics as transpiration and muscle cramps exhibit different surface dynamics. The Reiner–Philippoff (RP) fluid model exemplifies shear-thinning, shear-thickening and Newtonian behavior. This study investigates the flow of a RP fluid over a stretching and shrinking surface with nonlinear thermal convection and variable thermophysical properties. The mathematical models describing the dynamical system are transformed through a similar group of transformations. Flow variables such as the fluid's velocity, temperature and solute concentration were numerically obtained through the spectral local linearization technique (SLLM). Subject to the validation and accuracy of the numerical results, the effects of pertinent parameters on the flow were investigated. The findings in this study reveal that the effects of the flow variables on stretching and shrinking sheets are not diametrically opposite. Moreover, the radiation negatively impacts the flow variables over a stretching sheet compared to the positive effect experienced at some point in flow over a shrinking sheet. [ABSTRACT FROM AUTHOR]

The non-Newtonian liquid scheme is created to address the limitations of the classical (Newtonian) scheme in terms of accurately reflecting real-world fluid flow behavior in industrial applications and improving operational efficiency. The Reiner–Philippoff model, one of the many extant models, modeling non-Newtonian fluids, is of concern because it only captures a few features in some circumstances. Thus, this study aims to investigate the theoretical aspects of Cattaneo–Christov for heat diffusion fusion of Reiner–Philippoff liquid stream in the presence of Darcy–Forchheimer media. Furthermore, the procedure of heat transport is taken out in the occurrence of nonlinear heat radiative, viscous dissipation and Ohmic heating. The partial derivatives of nonlinear differential equations are changed into similarity equations of a certain form by using appropriate similarity transformations. Furthermore, the Runge–Kutta–Fehlberg method with shooting approach is utilized to solve the dimensionless model. The influence of pertinent fluid flow parameters is illustrated graphically. The further engineering curiosity of a local Nusselt number is illustrated and analyzed. It is found that velocity curve is boosted with the augmenting scales of Reiner–Philippoff liquid parameter and Forchheimer number. Further, it is analyzed that increasing the thermal relaxation parameter and Eckert number reduces the heat transport rate at the surface. [ABSTRACT FROM AUTHOR]