Effects of melting process on the hydromagnetic wedge flow of a Casson nanofluid in a porous medium

Abstract

An investigation is carried out to capture the influence of melting process and permeability of the medium on the hydromagnetic wedge flow of a Casson nanofluid. The effects of thermophoresis and Brownian motion are also taken into consideration. The coupled nonlinear partial differential equations that govern the nanofluid flow are reduced to coupled non-linear ordinary differential equations by employing similarity transformation. Thereafter, numerical solution of the resulting boundary value problem is obtained using a fourth-order accurate collocation based solver in MATLAB. A particular case of the present problem is compared with a previously published study, and the results are found to be in excellent agreement. The impact of pertinent physical entities on nanofluid velocity, nanofluid temperature, and nanoparticle concentration are presented graphically, while local skin friction, heat transfer, and mass transfer rates are recorded in a tabular form. It is found that melting process increases the thicknesses of momentum, thermal and solutal boundary layers while it reduces skin friction, heat and mass transfer rates. Wedge angle and Casson nanofluid parameters enhance the fluid velocity; however, the impact of the magnetic field and permeability of the medium is opposite to that of their usual characteristics. This study would be valuable in designing cooling gadgets and heat sinks of various shapes which will enhance the heat transfer properties of Casson nanofluids thereby increasing their applications in industrial perspectives.

MHD rotating flow of a Maxwell fluid with Arrhenius activation energy and non‐Fourier heat flux model

“…El‐Aziz, 20 along with Afify, calculated the impacts of Hall current on the MHD boundary layer slip flow of a Casson nanofluid with zero nanoparticle mass flux. Sarkar and Endalew 21 incorporated the melting process on a hydromagnetic Casson nanofluid saturated with a porous wedge. The researchers obtained results from their examination that MHD becomes the root for inclusion in the thermal transfer of fluid in addition to the melting effect causes a decrease in the flow temperature.…”

Non‐Newtonian nanofluid characteristics over a melting wedge: A numerical study

“…The melting process was also studied by Sarkar and colleagues. [24][25][26] For many years, flow modeling with heat transfer through wedge molded structures has been a major problem in the chemical industry and engineering. In practice, these types of flow may be seen in a variety of areas, including bed-packed reactors, water-ground contamination, and the oil recovery industry, among others.…”

Incidences of aligned magnetic field on unsteady MHD flow past a parabolic accelerated inclined plate in a porous medium

“…The basic idea of MHD is briefly explained in the books of Davidson 1 and Roberts 2 . Currently, researchers, such as Renu and Kumar, 3 Endalew et al, 4 Vaidya et al, 5 Rajput and Kumar, 6 and Sarkar and Endalew, 7 have studied MHD flows in various geometrical aspects.…”