Numerical computation on Marangoni convective flow of two‐phase MHD dusty nanofluids under Brownian motion and thermophoresis effects

Abstract

dusty nanofluids, Marangoni convection, space-dependent heat source, two-phase flow, wavy surface | INTRODUCTIONThe Marangoni convection is a phenomenon, which is induced by thermocapillarity or solutocapillarity, that is, the variation of surface tension of the fluid with temperature or concentration. Surface tension is one of the fluid characteristics, which remain stable basically. However, the primary conditions affecting the surface tension of the fluid are variation in temperature and addition of chemicals in it. When temperature rises, the molecules in the fluid become more active, which results into the reduction in the surface tension of the fluid. Also, it changes according to the chemical reactions that occur when the chemicals are added to the fluid. Further, the surface tension of the fluid also gets affected by impurities present in it. For instance, the salt which is a highly solvable substance, increases the surface tension of water, whereas the soap, which is a sparingly soluble substance, decreases it. Hence, it is worthy to investigate the Marangoni effect on dusty nanofluid flow. The study on Marangoni convection is essential in view of numerous industrial applications including crystal growth, thin liquid films, semiconductor processing, coating flow technology, microfluidics, etc. After a promising research, this mechanism has been adopted in the field of nanotechnology to get an artificial rain by a process called cloud seeding. Here, substances like dry ice (silver iodide aerosol is commonly used, which acts as a cloud condenser) is dispersed into the upper parts of clouds, which alters the surface tension and then causes microphysical changes within the clouds. Therefore, condensation of water vapor in the atmosphere occurs. One of the widely practiced applications using this effect is suppressing the fog in airports during harsh weather. The concept of Marangoni boundary layer was introduced by Napolitano, 1 and, later, several authors 2-7 studied the flow under the Marangoni effect. It is evident from Mahanthesh et al 8 that Marangoni effect enhances the temperature and concentration fields of Casson liquid flow due to an infinite disk. The buoyancy and thermocapillary effect on convective fluid flow and transfer of heat inside a vertical cylindrical cavity under the impact of evaporation was evaluated numerically by Kozhevnikov and Sheremet. 9 Siddiqa et al 10 have assessed the effect of thermal radiation on Marangoni boundary layer flow along a vertical irregular surface and their mathematical results disclosed that water-particle mixture, that is, dusty fluid, reduces the heat transfer rate.The mechanism of heat transfer plays a significant role in hypersonic, space vehicles, gas turbines, etc. In those applications, the thermal performance of commonly employed traditional fluids like water, oils, glycol, etc, is deficient. With the intention of boosting the thermal conductivity of these base fluids, several processes, such as adding surfactant, salts, alcohol to the base fluids, inc...

Simultaneous solutions for convective heat transfer in dusty-nano- and dusty-hybrid nanoliquids

“…MHD dusty nanoliquids alongside a vertical region were numerically studied by Kalpana et al. 17 The development of nanofluids and their unique properties are of major concern for large-scale inventions.…”

Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect

“…Siddiqa et al [32] numerically analyzed the natural convective flow of a dusty nanofluid driven by a wavy vertical surface. Recently, Kalpana et al [33], Mishra et al [34], Saha et al [35] and Ibrahim and Gamachu [36] explored the dusty nanofluid flow problem with different surfaces and aspects.…”

Investigating the magnetohydrodynamic flow of a couple stress dusty fluid along a stretching sheet in the presence of viscous dissipation and suction

“…The width of the thermal fluid flow was found to enhance the magnetic parameter. Very recently, Kalpana et al 21 reported the combined effect of Marangoni convection, the source of heat on dusty nanofluid over a wavy sheet, and numerically the same is analyzed.…”