Impact of Non-Similar Modeling for Thermal Transport Analysis of Mixed Convective Flows of Nanofluids Over Vertically Permeable Surface

Abstract

In the current article, non-similar model is developed for mixed convective boundary layer flow over a permeable vertical surface immersed in nanofluid. The flow is initiated due to the plate stretching in vertical direction and by natural means such as buoyancy. The governing dimensional equations are converted to non-dimensional equations through characteristic dimensions. Furthermore the non-similar modeling is done by choosing ξ (X) as non-similarity variable and η(X, Y) as pseudo-similarity variable. The non-similar partial differential system (PDS) is then solved by using local non-similarity method via bvp4c. The heat and mass transfer analysis are carried out by studying local Nusselt and Sherwood numbers in tabular form for some important parameters involved in the non-similar flow. The concentration, velocity and temperature profiles are graphically represented for various dimensionless number such as Prandtl number (Pr), Brownian motion (Nb), Lewis number Le and thermophoresis (Nt). Reversed flow is observed for the velocity profile as non-similar variable is varied. Enhancement in thermal profile is witnessed for Nb, Nt and reduction in temperature is observed for Pr. Concentration is reduced for different values of Pr, Le, Nb. Finally this article intends to develop an intuitive understanding of non-similar models by emphasizing the physical arguments. The authors developed the nonsimilar transformations and tackled the dimensionless non-similar structure by employing the local non-similarity technique. To the best of authors’ observations, no such study is yet published in literature. This study may be valuable for the researchers investigating towards industrial nanofluid applications, notably in geophysical and geothermal systems, heat exchangers, solar water heaters, biomedicine, and many other fields.

Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge

“…Tese are particularly useful for analyzing the fow and heat transfer phenomenon scales with changing parameters like Reynolds and Nusselt numbers. Tere are a lot of situations when one needs to introduce nonsimilar transformations [38] to convert this physical system into a nondimensional form. Such situations arise when nonstandard boundary conditions [39][40][41] are introduced in the mathematical description of the fow problems.…”

Nonsimilar analysis of ternary hybrid Eyring–Powell nanofluid flow over a linearly stretching surface

“…TiO₂ nanoparticles find applications across a wide spectrum of products and fields, encompassing areas such as nanomedicine, nanobiotechnology, solar panels and electrochemical batteries, production of food, soil rehabilitation, gas detection technology, polymers, paint and parchment industries, hydrogen fuel generation, as well as inks used for printing (Shi et al ., 2013; Akakuru et al ., 2020). In addition, the dynamic features of HNF flow in a porous medium are not being investigated using the LNS technique (Sparrow and Yu, 1971; Razzaq and Farooq, 2021; Hussain et al ., 2023). Numerical solutions for systems of nonlinear-coupled partial differential equations (PDEs) may be obtained by combining the LNS technique with the bvp4c algorithm up to its second truncation level.…”

Enhanced Energy Transfer Performance in an Inclined Magneto-Convective Sutterby Ternary Hybrid Nanoflow: Application for Nano Diesel

“…This enhanced thermal conductivity has significantly bolstered the efficiency of energy transmission, elevating nanofluids to a prominent position in research endeavors. Hussein [9] delved into the thermal characteristics of laminar nanofluid flow within a tube design. The study revealed an improvement in heat conductivity with increasing nanoparticle fractions.…”