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ARTICLE

Melting Flow Analyzation of Radiative Riga Plate Two-Phase Nano-Fluid Across Non-Flatness Plane with Chemical Reaction

by Jupudi Lakshmi Rama Prasad¹, F. Mebarek-Oudina^2,*, G. Dharmaiah³, Putta Babu Rao⁴, H. Vaidya⁵

1 Department of Mathematics, P. B. Siddhartha College of Arts and Science, Vijayawada, 520010, India
2 Department of Physics, Faculty of Sciences, University of 20 Août 1955-Skikda, Skikda, 21000, Algeria
3 Department of Mathematics, Narasaraopeta Engineering College, Yellamanda, Narasaraopet, 522601, India
4 Department of Mathematics, Sri Aravinda Satajayanthi Government Degree College, Narayanapuram, Ungutur Mandalam, 534406, India
5 Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, 583104, India

* Corresponding Authors: F. Mebarek-Oudina. Email: ,

(This article belongs to the Special Issue: Advances in Computational Thermo-Fluids and Nanofluids)

Frontiers in Heat and Mass Transfer 2024, 22(5), 1515-1532. https://doi.org/10.32604/fhmt.2024.057854

Received 29 August 2024; Accepted 12 October 2024; Issue published 30 October 2024

Abstract

There is a strong relationship between analytical and numerical heat transfers due to thermodynamically anticipated findings, making thermo-dynamical modeling an effective tool for estimating the ideal melting point of heat transfer. Under certain assumptions, the present study builds a mathematical model of melting heat transport nanofluid flow of chemical reactions and joule heating. Nanofluid flow is described by higher-order partial non-linear differential equations. Incorporating suitable similarity transformations and dimensionless parameters converts these controlling partial differential equations into the non-linear ordinary differential equations and resulting system of nonlinear equations is established. Plotted graphic visualizations in MATLAB allow for an in-depth analysis of the effects of distinguishing factors on fluid flow. Innovative applications of the findings include electronic cooling, heat transfer, reaction processes, nuclear reactors, micro heat pipes, and other related fields. If the exponential index increases, however, the thermal profile becomes worse. By comparing the current findings to those already published in the literature for this particular example, we find that they are highly congruent, therefore validating the present work. Every one of the numerical findings exhibits asymptotic behavior by meeting the specified boundary conditions.

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