MHD free convection flow in a vertical porous super-hydrophobic micro-channel

Abstract

A free convective flow of an incompressible and electrically conducting fluid through a vertical micro-channel of rectangular geometry was considered. Both plates were porous and heated alternately. A transverse magnetic field was applied across the channel. One channel wall surface was no slip and the other was super-hydrophobic. The purpose of the study is to examine the effects of super-hydrophobicity, magnetism and wall porosity on the main characteristics of the flow. The exact solutions of the formulated differential equations were provided. A few highlights of the results obtained include: (1) the magnetic parameter lowered the skin friction at both surfaces when either of them were heated, (2) the suction/injection parameter raised the fluid temperature when the super-hydrophobic surface (SHS) was heated and brought it down when the no slip surface (NSS) was heated, (3) a critical temperature jump coefficient was observed at which the flow rates in both cases (only SHS heated, and only NSS heated) were equal. A few application areas of the research include micro-fluidics and micro-electronics.

Theoretical study of ARRHENIUS‐controlled heat transfer flow on natural convection affected by an induced magnetic field in a micro‐channel

“…The product of $$$ {\beta}_v Kn $$$ signifies a level of deviation from the continuum regime, whereas ( In ) designates a fluid‐wall interaction characteristics. For this investigation, the recommended values for ($$$ {\beta}_v Kn $$$) and ( In ) are 0.05 and 1.667 as reported by Chen and Weng, 5 and M = 2 by Jha et al, 2 respectively, have been adopted for this analysis. Additionally, Kc = 0.1 and $$$ \varepsilon $$$ = 0.01 were used as reference values in this present investigation to showcase the functions of different flow parameters.…”

“…Jha and Aina 4 carefully analyzed natural hydro‐magnetic convection in a vertical micro‐channel influenced by an induced magnetic field (IMF), made of two immeasurable vertical parallel plates that are electrically non‐conductive. Jha and Gwandu 5 discussed the natural convection flow of a viscous reactive fluid past a vertical micro‐channel of rectangular geometry. It was revealed from their results that the heat emission parameter increased the thermal gradient when the superhydrophobic surface was heated and retarded it when no slip surface was heated in the micro‐channel.…”

Modeling and analysis of magnetic hybrid nanoparticle (Au-Al2O3/blood) based drug delivery through a bell-shaped occluded artery with joule heating, viscous dissipation and variable viscosity effects

“…The MHD and shape factor effects on a fluid containing hybrid nanoparticles were explored analytically and numerically by Khentout et al [26]. Jha and Gwandu [27] studied MHD free convective flow down a vertical micro-channel with one channel wall surface having no slip and the other having super-hydrophobic properties. The impact of MHD with various other influential factors such as variable viscosity, Joule heating, radiation, and chemical reaction was studied by Tripathi et al ( [28], [29], [30]).…”

Effect of viscous dissipative fluid in a slit micro-channel with heated super-hydrophobic surface

“…Scientists, technologists, and engineers are paying much attention to the evaluation of the result of the new combination using hydro-magnetic natural convection flow in a superhydrophobic (SHO) micro-channel. Oil and gas companies, semiconductor manufacturing facilities, and companies that assemble small equipment on SHO surfaces have the ability to reduce drag in a flow because of the enormous slip obtained from liquid/solid interfaces, making it a particularly relevant parameter to gauge the extent of drag reduction depending on the slip length (Jha and Gwandu 2020). In view of these considerations, Hamza et al (2023) recently scrutinized the consequences of thermal radiation and super-hydrophobicity on a free convection of an electrically conducting fluid across an upstanding microchannel influenced by a transverse magnetic field.…”

“…Raising the temperature jump coefficient, according to the computational results, contributes to a decrease in temperature when the super-hydrophobic surface is heated and increases the temperature when the no-slip surface is heated. Jha and Gwandu (2020) built on their previous work, Jha and Gwandu (2017) by proposing an analytical investigation of free convection airflow across porous plates heated alternately, one channel with no slip and the other superhydrophobic. Ramanuja et al (2020) explored free convection flow in an isothermally heated channel with super-hydrophobic slip on one surface and a temperature rise but no slip on the opposite side.…”