Abstract
The present investigation aims to examine the heat flux mechanism in the hagnetohydrodynamic (MHD) mixed convective flow of Williamson-type fluid across an exponential stretching porous curved surface. The significant role of thermal conductivity (variable), non-linear thermal radiation, unequal source-sink, and Joules heating is considered. The governing problems are obtained using the Navier–Stokes theory, and the appropriate similarity transformation is applied to write the partial differential equations in the form of single-variable differential equations. The solutions are obtained by using a MATLAB-based built-in bvp4c package. The vital aspect of this analysis is to observe the effects of the curvature parameter, magnetic number, suction/injection parameter, permeability parameter, Prandtl factor, Eckert factor, non-linear radiation parameter, buoyancy parameter, temperature ratio parameter, Williamson fluid parameter, and thermal conductivity (variable) parameter on the velocity field, thermal distribution, and pressure profile which are discussed in detail using a graphical approach. The correlation with the literature reveals a satisfactory improvement in the existing results on permeability factors in Williamson fluids.
Highlights
Published: 19 July 2021In modern research, non-Newtonian fluids have great significance
We have considered a steady, incompressible, laminar, two-dimensional mixed convective Williamson type fluid flow under the direct influence of mechanism in the hagnetohydrodynamic (MHD) to observe the properties of the heat transfer mechanism along an exponentially stretching porous curved surface
Heat transfer attributes of Williamson type fluid flows via an exponen4
Summary
Non-Newtonian fluids have great significance. The rheological attributes of non-Newtonian type fluids cannot be well illustrated by the famous. Rasool et al [14] reported the entropy (disorder) consequences and the high impact of a second-order chemical reaction in a nanofluid based on the Darcy model known for porous medium using a non-linear stretching surface. Nayak [28] investigated MHD convective flow to study the impact of thermal diffusion via an exponentially stretching sheet and proposed an iterative solution by using the R.K. method and shooting technique. Motivated by the above literature review, it has been observed that no study is so far reported which investigates the heat transfer characteristics of Williamson type fluid flow via an exponentially stretching curved surface in the presence of variable thermal conductivity. The prime aim of the present investigation is to study the heat flow of Williamson fluids over an exponentially stretching porous curved surface with a heat source. The variation in the skin friction and Nusselt number due to the involved physical parameters are observed through tables
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