Thermophoresis particle deposition of CoFe₂O₄-TiO₂hybrid nanoparticles on micropolar flow through a moving flat plate with viscous dissipation effects

Abstract

Purpose This study aims to investigate the micropolar fluid flow through a moving flat plate containing CoFe2O4-TiO2 hybrid nanoparticles with the substantial influence of thermophoresis particle deposition and viscous dissipation. Design/methodology/approach The partial differential equations are converted to the similarity equations of a particular form through the similarity variables. Numerical outcomes are computed by applying the built-in program bvp4c in MATLAB. The process of flow, heat and mass transfers phenomena are examined for several physical aspects such as the hybrid nanoparticles, micropolar parameter, the thermophoresis particle deposition and the viscous dissipation. Findings The friction factor, heat and mass transfer rates are higher with an increment of 1.4%, 2.2% and 1.4%, respectively, in the presence of the hybrid nanoparticles (with 2% volume fraction). However, they are declined because of the rise of the micropolar parameter. The imposition of viscous dissipation reduces the heat transfer rate, significantly. Meanwhile, thermophoresis particle deposition boosts the mass transfer. Multiple solutions are developed for a certain range of physical parameters. Lastly, the first solution is shown to be stable and reliable physically. Originality/value As far as the authors have concerned, no work on thermophoresis particle deposition of hybrid nanoparticles on micropolar flow through a moving flat plate with viscous dissipation effect has been reported in the literature. Most importantly, this current study reported the stability analysis of the non-unique solutions and, therefore, fills the gap of the study and contributes to new outcomes in this particular problem.

Swimming of microbes in entropy optimized nano‐bioconvective flow of Prandtl–Erying fluid

“…Particles moved on the chill surface from hot with greater magnitudes of Γ in connection with which rate of mass transfer enhances through thermophoretic factor (Γ). Similar trends were observed by Khan et al 36 and Waini et al 47 Materially, when the surface is cool, this force deposits particles on it, and when the surface is hot this force transferred away particles from it. A general example of this thermophoretic phenomenon is the blackening of the glass globe of a kerosene lantern; the temperature gradient structured between the flame and the globe drives the carbon particles generated in the combustion process toward the globe where they deposit.…”

“…Microorganism equation $$$\frac{\partial \bar{N}}{\partial t}+u\frac{\partial \bar{N}}{\partial x}+v\frac{\partial \bar{N}}{\partial y}+\frac{{b}_{c}{W}_{c}}{({C}_{w}-{C}_{0})}\left(\frac{\partial C}{\partial y}\frac{\partial \bar{N}}{\partial y}+\bar{N}\frac{{\partial }^{2}C}{\partial {y}^{2}}\right)={D}_{n}\frac{{\partial }^{2}\bar{N}}{\partial {y}^{2}}.$$$Wherein $${\lambda }_{A}={{k}_{r}}^{2}(C-{C}_{\infty }){\left(\frac{T}{{T}_{\infty }}\right)}^{l}\text{exp}\left(\frac{-{E}_{a}}{{K}_{1}T}\right)$$ and $${V}_{T}=-\frac{\upsilon {K}_{T}}{{T}_{r}}\frac{\partial T}{\partial y}$$ appositely represent the Arrhenius activation aspect and thermophoretic velocity 46,47 …”

“…The controlling expressions for the nano-bioconvective flow of Prandtl-Erying fluid containing microbes and nanoparticles in the presence of assorted features are sculptured in the following manner, 12,13,22,26,27,40,46,47,60 Continuity equation…”

“…Therefore, the ongoing contribution is focused to assess the numerical upshots of such flow originating from an exponential expanded/contracted surface. Furthermore, the novel and intriguing phenomena of current communication are the incorporation of an electric field, 40,41 Darcy-Forchheimer flow, 42,43 exothermic/endothermic feature, stagnation point flow, 44 Arrhenius activation vitality, 45 triple stratification, and thermophoretic particle deposition 46,47 in an MHD 48 nano-bioconvective 49 system. A robust utensil, finite difference approach [50][51][52][53][54][55][56][57] is used for solving the fabricated flow model.…”

Time-Dependent Stagnation Point Flow of Water Conveying Titanium Dioxide Nanoparticle Aggregation on Rotating Sphere Object Experiencing Thermophoresis Particle Deposition Effects

“…Recently, Madhukesh et al [20] inspected the mass and thermal transfer during the occurrence of a Casson fluid containing hybrid nanoparticles over a Riga surface in the context of the T-P-D effect. Waini et al [21] investigated T-P-D and viscous dissipation effects in a micropolar hybrid nanofluid over a flat surface. Shankaralin-gappa et al [22] investigated the T-P-D on a three-dimensional flow of Casson nano liquid containing sodium alginate across a stretched surface.…”