Cross flow on transient double‐diffusive natural convection in inclined porous trapezoidal enclosures

Abstract

This paper investigates the cross-diffusion effects subject to exponential variable boundary conditions on transient double-diffusive natural convection flow in an enclosure. The flow domain is a two-dimensional inclined trapezoidal cavity filled with a porous medium. The top wall is assumed to be insulated and permeable, while the enclosure's bottom wall is subject to exponential varying temperature and concentration. The prescribed temperature and concentration are different at the vertical walls. Conservation equations are used as the governing equations. The finite element Galerkin weighted residual method, in association with the Newton-Raphson scheme is employed to solve the system of coupled nondimensional equations. The numerical tests are confirmed with existing literature and are found to be in excellent agreement. The simulations results for stream functions, isotherms, and isoconcentrations are discussed for the various flow parameters. A sensitivity analysis using the response surface method suggests that the average Nusselt and Sherwood numbers are more sensitive to the cross-diffusion effects. It is further observed that the cross-diffusion terms stabilize the sensitivity to the angle of inclination.

Entropy minimized MHD microrotations of Cross nanomaterials with cubic autocatalytic chemical reaction

“…27 Cross fluid/nanofluid models are utilized in diversified engineering and industrial applications. 28,29 There have been several studies of boundary layer flow of Cross nanofluids subject to different aspects such as heat transfer, 30 chemical reactions, 31 nonlinear thermal radiation (NLTR), 32 combined natural and forced convection, 33 shear-thinning characteristics, 34 and Arrhenius activation energy. 35 Several industrial manufacturing processes involve non-Newtonian fluids, such as paints, lubricants, polymeric suspensions, biological fluids, colloidal solutions, and liquid crystals with rigid molecules, which cannot be described by traditional Newtonian fluid behaviors.…”

“…The momentum, microrotation, energy, and nanoparticle concentration equations governing the flow of CNF are 26,28,[30][31][32]36,39,43 :…”

Darcy–Forchheimer up/downflow of entropy optimized radiative nanofluids with second‐order slip, nonuniform source/sink, and shape effects

“…The studies in the related areas are seen in ref. [18][19][20][21][22][23][24][25][26][27][28] Nanofluids are useful working fluids by use of which heat transfer and therefore thermal performance upsurge. Due to the superior properties mentioned above, practical industrial applications of the nanofluid can be visualized commonly in the microelectronics, fuel cells, pharmaceutical processes, hybrid-powered engines, heat exchanger, safer surgery by cooling, nuclear reactor coolant, space technology, solar collector, and boiler flue gas temperature reduction.…”

Three‐dimensional hydromagnetic hybrid nanoliquid flow and heat transfer between two vertical porous plates moving in opposite directions: Sensitivity analysis

“…Sensitivity analysis, on the other hand, measures the extent and nature of dependency exhibited by the effectual parameters on the physical quantity of interest. Some recent explorations on RSM and sensitivity analysis can be viewed in References [20][21][22][23].…”