Fluid Flow Numerical Study Considering the Impact of Deborah Number and Slip Condition

Gajendran, P (2025) Fluid Flow Numerical Study Considering the Impact of Deborah Number and Slip Condition. Advances in Nonlinear Variational Inequalities, 28 (5s). pp. 315-335. ISSN 1092-910X

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Abstract

This article measures Maxwell fluid flow above a horizontal plate over a porous medium with the influence of MHD. Heat generation and radiation are left for discussion and explanation. The governing equations are converted into nonlinear ODEs by using similarity variables. The nonlinear ODE's answer is obtained using the renowned numerical Runge-Kutta method. The outcome of magnetic field (M), Deborah number (De), porosity (λ), radiation (Rd), Prandtl number (Pr), thermal slip (β), and energy generation (Q) are widely examined over graphs. The visualization and analysis of the consequences of modifying the model's parameters are conducted with the predefined values: Pr = 5, Rd = 2, M = 0.5, Q = 0.3, β = 0.5 and De = 0.6. In order to increase the values of M and Rd, this study attempts to determine the outcomes of thermal slip circumstances and examine the entropy generation and Bejan number. A good agreement is found when the results of the current work are compared with published work for code validation. The research's crucial conclusion is that the M affects both the expansion of thermal fields and momentum. On the other hand, the energy field accelerates due to heat radiation, and the Deborah number is influenced by the magnetic intensity.

Item Type: Article
Uncontrolled Keywords: heat generation, radiation, entropy generation, Maxwell fluid, porous medium, magnetic field.
Subjects: I Mathematics > Fluid Dynamics
I Mathematics > Numerical analysis
Divisions: Mathematics
Depositing User: Dr Krishnamurthy V
Date Deposited: 25 Feb 2025 08:38
Last Modified: 25 Feb 2025 08:38
URI: https://ir.psgitech.ac.in/id/eprint/1370

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