Open Access

ARTICLE

Impact of Pollutant Concentration and Particle Deposition on the Radiative Flow of Casson-Micropolar Fluid between Parallel Plates

by Ghaliah Alhamzi¹, Badr Saad T. Alkahtani^2,*, Ravi Shanker Dubey³, Vinutha Kalleshachar⁴, Neelima Nizampatnam⁵

1 Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11564, Saudi Arabia
2 Department of Mathematics, College of Science, King Saud University, Riyadh, 11989, Saudi Arabia
3 Department of Mathematics, Amity School of Applied Sciences, Amity University Rajasthan, Jaipur, 302002, Rajasthan, India
4 Department of Studies in Mathematics, Davangere University, Davangere, 577002, India
5 Department of Electronics and Communication Engineering, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Bengaluru, 560035, India

* Corresponding Author: Badr Saad T. Alkahtani. Email:

(This article belongs to the Special Issue: Scientific Computing and Its Application to Engineering Problems)

Computer Modeling in Engineering & Sciences 2025, 142(1), 665-690. https://doi.org/10.32604/cmes.2024.055500

Received 28 June 2024; Accepted 16 October 2024; Issue published 17 December 2024

Abstract

Assessing the behaviour and concentration of waste pollutants deposited between two parallel plates is essential for effective environmental management. Determining the effectiveness of treatment methods in reducing pollution scales is made easier by analysing waste discharge concentrations. The waste discharge concentration analysis is useful for assessing how effectively wastewater treatment techniques reduce pollution levels. This study aims to explore the Casson micropolar fluid flow through two parallel plates with the influence of pollutant concentration and thermophoretic particle deposition. To explore the mass and heat transport features, thermophoretic particle deposition and thermal radiation are considered. The governing equations are transformed into ordinary differential equations with the help of suitable similarity transformations. The Runge-Kutta-Fehlberg’s fourth-fifth order technique and shooting procedure are used to solve the reduced set of equations and boundary conditions. The integration of a neural network model based on the Levenberg-Marquardt algorithm serves to improve the accuracy of predictions and optimize the analysis of parameters. Graphical outcomes are displayed to analyze the characteristics of the relevant dimensionless parameters in the current problem. Results reveal that concentration upsurges as the micropolar parameter increases. The concentration reduces with an upsurge in the thermophoretic parameter. An upsurge in the external pollutant source variation and the local pollutant external source parameters enhances mass transport. The surface drag force declines for improved values of porosity and micropolar parameters.

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