Abstract
In this article, nanofluid rheology with slip effects over a convective wall is staggeringly examined. The simultaneous effects of non-linear thermal radiations and internal heat generation/absorption properties are taken into the account. The hydro-magnetic flow in the presence of a porous medium, thermophoresis and Brownian motion effects are analyzed. Mathematical modelling of the fluid dynamic system has been performed in order to obtain the governing relations of the problem. Numerical solutions for the velocity, temperature and mass fraction profiles have been determined using the finite-difference method (FDM) based numerical computing. Various graphical and numerical illustrations for several parameters have been presented in order to investigate physics behind the mathematical equations.
Highlights
The no-slip boundary condition, the assumption that a liquid adheres to a solid boundary, is frequently utilized in the fluid mechanics problems
The fluid flow behaviour subjected to the slip flow regime greatly differs from the traditional flow and the research community has motivated to utilize the concept of slippage under different rheological models, such as Rashidi et al.[1] presented the simultaneous effects of slip along with thermal-diffusion and diffusion-thermo properties on the steady hydro-magnetic convective flow due to a rotating disk, Ramesh[2] presented the effects of slip and convective conditions on the peristaltic flow of non-Newtonian fluid in an asymmetric channel through porous medium, Rabia et al.[3] analysed the Cattaneo-Christov double diffusion model for Sisko fluid flow with velocity slip and Raza et al.[4] investigated the effects of heat and mass transfer analysis of MHD nanofluid flow in a rotating channel with slip effects
Merkin[5] pointed out four common heating processes specifying the wall-to-ambient temperature distributions, the constant or prescribed wall temperature (CWT), the constant or prescribed surface heat flux (CHF), the conjugate conditions, where heat is supplied through a boundary surface of finite thickness and finite capacity, and the Newtonian heating (NH), where the heat transfer rate from the bounding surface with a finite heat capacity is proportional to the local surface temperature, and it is usually termed as conjugate convective flow
Summary
The no-slip boundary condition, the assumption that a liquid adheres to a solid boundary, is frequently utilized in the fluid mechanics problems. There are numerous cases in which no-slip boundary condition is inadequate and slip occurs on the boundary, e.g., fluidic problems involving scenarios for the fluid passed a permeable wall, rough and coated surfaces, emulsion, foam, slotted plates, polymer solutions, gas and liquid flow in micro devices etc. In these systems, it is appropriate to use the slip condition. Effects of nonlinear thermal radiation, Brownian motion and thermophoresis phenomenon are presented. Efficient and reliable computational techniques have been used to obtain the approximate solutions of the system which are analyzed with graphical and numerical illustrations
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