Effect of Forchheimer and Joule Term in the Study of Radiated Nanomaterial Flow - a Numerical Approach

The current study presents the numerical evaluation of transmitted viscous nanomaterials by stretching the surface comprising Forchheimer drag force and joule effect. Heat source or sink and radioactive effects are also incorporated. For the various assumptions on the real problem, a physical model led us to a non-linear coupled partial differential equation which is then transformed to ordinary differential equation using similarity technique. The computational work is carried out using shooting technique compresses of Runge-Kutta-Felberg method with Newton-Raphson iterative scheme to solve the non-linear coupled ordinary differential equations with converting a boundary value problem to initial value problem by choosing a guess value. Later, numerical solutions are predicted for various non-dimensional parameters involved in the study of the fluid flow, temperature. In the absence of the Forchheimer and joule terms, the results are coinciding with the earlier works. Further, the outcomes of this study have a major role in many industrial application problems.

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Publication Details

Journal
Journal of Mines Metals and Fuels
Published
2024-12-20
DOI
https://doi.org/10.18311/jmmf/2023/47283
Primary Topic
Nanofluid Flow and Heat Transfer
Type
article
Field-Weighted Citation Impact
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article

Effect of Forchheimer and Joule Term in the Study of Radiated Nanomaterial Flow - a Numerical Approach

R. Sumithra, K. R. Roopa, P. A. Dinesh, Chitirala Subrahmanyam et al.
Journal of Mines Metals and Fuels
Nanofluid Flow and Heat Transfer
article

Effect of Forchheimer and Joule Term in the Study of Radiated Nanomaterial Flow - a Numerical Approach

R. Sumithra, K. R. Roopa, P. A. Dinesh, Chitirala Subrahmanyam, Sweeti Yadav, A. B. Sadiya, D. Krishna Kanth, K. M. Sahana, Cheruku Saritha
article en

Abstract

The current study presents the numerical evaluation of transmitted viscous nanomaterials by stretching the surface comprising Forchheimer drag force and joule effect. Heat source or sink and radioactive effects are also incorporated. For the various assumptions on the real problem, a physical model led us to a non-linear coupled partial differential equation which is then transformed to ordinary differential equation using similarity technique. The computational work is carried out using shooting technique compresses of Runge-Kutta-Felberg method with Newton-Raphson iterative scheme to solve the non-linear coupled ordinary differential equations with converting a boundary value problem to initial value problem by choosing a guess value. Later, numerical solutions are predicted for various non-dimensional parameters involved in the study of the fluid flow, temperature. In the absence of the Forchheimer and joule terms, the results are coinciding with the earlier works. Further, the outcomes of this study have a major role in many industrial application problems.

Journal of Mines Metals and Fuels
Industry, innovation and infrastructure
Openalex Percentile: Top 77%
Nanofluid Flow and Heat Transfer
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