Study of multilayer flow of a bi-viscous Bingham fluid sandwiched between hybrid nanofluid in a vertical slab with nonlinear Boussinesq approximation

Abstract

Bi-Viscosity Bingham plastic fluids are used to understand the rheological characteristics of pigment-oil suspensions, polymeric gels, emulsions, heavy oil, etc. High-temperature applications in many industrial and engineering problems, linear density-temperature variation is inadequate to describe convective heat transport. Therefore, the characteristics of the nonlinear convective flow of a Bi-Viscosity Bingham Fluid (BVBF) through three layers in a vertical slab are studied. The two outer layers of the oil-based hybrid nanofluid and the intermediate layer of BVBF are considered. The thermal buoyancy force is governed by the nonlinear Boussinesq approximation. Continuity of heat flux, velocity, shear stress, and temperature are imposed on the interfaces. The governing equations are derived from the Navier-Stokes equation, conservation of energy, and conservation of mass for three layers. The nonlinear multipoint (four-point) boundary value problem (NMBVP) is solved using the differential transform method (DTM). Converging DTM solutions are obtained, and they are validated. The entropy equation and Bejan number were also derived and analyzed. It is established that the nonlinear density-temperature variation leads to a significant improvement in the magnitude of the velocity and temperature profiles due to the increased buoyancy force and as a result, the drag force on the walls is reduced. The drag force on the slab gets reduced by decreasing the volume of nanoparticles. Furthermore, nonlinear convection and mixed convection give rise to an advanced rate of heat transport on the walls and thereby to an enhanced heat transport situation.

Heat transfer analysis in a horizontal anisotropic porous channel with Bi-viscous Bingham nanofluid and temperature-dependent Brownian diffusion

“…As of late, Sanjalee et al (2023b) analytically investigated the heat transfer rate of Bi-viscous Bingham nanofluid suspension saturated in anisotropic porous enclosures of different heights. Some other pioneering works available in the literature are (Basavarajappa et al, 2022;Bisht and Sharma, 2021;Bisht and Bisht, 2022;Sanjalee et al, 2023a;Keerthana et al, 2023) and several references therein. From the thorough review of the literature, it is evident that there is a MMMS 20,4 notable gap in research concerning the analysis of heat and mass transfer properties in Biviscous Bingham nanofluid suspensions within horizontal anisotropic porous channels.…”