A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

Anwar, Imran; Saqlain, Muhammad; Gulzar, M Muhammad; Waqas, M.

doi:10.2298/tsci181005335a

THERM SCI

2020

DOI: 10.2298/tsci181005335a

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A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

Imran Anwar

Muhammad Saqlain

M Muhammad Gulzar

et al.

Abstract: Original scientific paper https://doi.org/10.2298/TSCI181005335AHomotopic solutions for Jeffrey material in frames of buoyancy forces are constructed in this research. The improved Fourier-Fick laws are considered for formulation. In addition, variable liquid aspects (thermal conductivity, mass diffusivity) along with heat source are accounted. Prandtl's boundary-layer idea is utilized to model the problem. Involvement of similarity variables resulted into non-linear system of coupled equations. The well-known… Show more

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Cited by 2 publications

References 25 publications

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Analysis of magnetized micropolar fluid subjected to generalized heat-mass transfer theories

Li,

Anwar,

Katbar

et al. 2023

Open Physics

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In this study, the steady 2D flow of micropolar fluid via a vertical surface is taken into account. The magnetohydrodynamics applied normally to the flow direction at a vertical surface in the presence of temperature-dependent attributes. The effect of the chemical reaction under the generalized Fourier–Fick law is considered to investigate the heat transference rate at the vertical sheet. Under the flow assumptions, the boundary layer approximations were applied to the nonlinear differential equations and partial differential equations were obtained. The use of similarity modifications allows for a reduction in the number of partial differential equations. The resulting ordinary differential equations are then resolved numerically using a technique known as the homotopy analysis method. The results reveal that microparticle suspensions have a significant impact on the flowing domain when varied fluid characteristics are utilized. The effect of potential factors on flow, micro-rotation velocities, temperature, drag force factor, and heat transport rate is investigated. The obtained results show that the velocity profile and micropolar function increase for larger values of micropolar parameters. Drag force effects are also seen, and required outcomes are observed to be in outstanding accord with the available literature. Significant results of this work were toward the velocity function, which gets reduced with increasing magnetic field parameter values, but the velocity function enhances for higher values of β \beta and λ \lambda . On temperature distribution, it decreased for higher values of ϵ 1 {{\epsilon }}_{1} and temperature profile declines due to higher values of Pr \text{Pr} , γ 2 {\gamma }_{2} and γ 1 {\gamma }_{1} or both cases of δ > 0 \delta \gt 0 and δ < 0 \delta \lt 0 . The higher values of Sc \text{Sc} resist declining the temperature function at the surface.

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Analysis of magnetized micropolar fluid subjected to generalized heat-mass transfer theories

Li,

Anwar,

Katbar

et al. 2023

Open Physics

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Darcy-Forchheimer characteristics of viscoelastic stratified nanoliquid by convectively heated permeable surface

2021

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A nonlinear mathematical analysis for non-Darcian magneto-viscoelastic nanoliquid is elaborated in this research. Flow is caused by stratified surface having permeable nature. The Robin's type boundary conditions are imposed at moving surface. Brownian diffusion, heat source and thermophoretic aspects are accounted. Complex systems are simplified through the well-known boundary-layer concept which is subsequently transfigured to ordinary ones via transformation technique. Furthermore the meaningful physical variables arising in nondimensional problems are elucidated via graphs.

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A modified Fourier-Fick analysis for modeling non-Newtonian mixed convective flow considering heat generation

Cited by 2 publications

References 25 publications

Analysis of magnetized micropolar fluid subjected to generalized heat-mass transfer theories

Analysis of magnetized micropolar fluid subjected to generalized heat-mass transfer theories

Darcy-Forchheimer characteristics of viscoelastic stratified nanoliquid by convectively heated permeable surface

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