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ARTICLE

Execution of Bioconvective Radiative Dissipative Non-Newtonian Magnetohydrodynamic Flow Comprising Stratification with BVP4C Approach Configured with Vertical Plane

by Gurram Dharmaiah¹, Jupudi Lakshmi Rama Prasad², Chegu Ramprasad³, Samad Noeiaghdam^4,*, Unai Fernandez-Gamiz⁵, Saeed Dinarvand⁶

1 Department of Mathematics, Narasaraopeta Engineering College, Narasaraopet, 522601, Andhra Pradesh, India
2 Department of Mathematics, P.B. Siddhartha College of Arts and Science, Vijayawada, 520010, Andhra Pradesh, India
3 Department of Mathematics, Vasireddy Venkatadri Institute of Technology, Nambur, Pedakakani, Guntur, 522508, Andhra Pradesh, India
4 Institute of Mathematics, Henan Academy of Sciences, Zhengzhou, 450046, China
5 Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, Vitoria-Gasteiz, 01006, Spain
6 Department of Mechanical Engineering, Central Tehran Branch, Islamic Azad University, Tehran, Iran

* Corresponding Author: Samad Noeiaghdam. Email:

(This article belongs to the Special Issue: Computational Methods in Mono/hybrid nanofluids: Innovative Applications and Future Trends)

Computer Modeling in Engineering & Sciences 2025, 142(2), 2019-2044. https://doi.org/10.32604/cmes.2025.061190

Received 19 November 2024; Accepted 25 December 2024; Issue published 27 January 2025

Abstract

The mathematical model for non-Newtonian magnetohydrodynamics flows across a vertically stretched surface with non-linear thermal radiation, mass and heat transfer rates, thermophoretic and Brownian movements, bio-convection, and motile microbes considered in the present work. It is possible to regulate the nanomaterial suspension in the nanofluid using the growth of microbes. With the use of boundary layer approximation, highly nonlinear partial differential equations were derived for the present flow model. The nonlinear partial differential equations are converted into ordinary differential equations by utilizing similarity transmutations, which simplify them. Numerical elixirs for ordinary differential equations are found through bvp4c. This guarantees accurate results for profiles of temperature, concentration, velocity, and motile density. There is a good match between the numerical values shown graphically and the existing data. As the thermal radiation parameter rises, the flow temperature grows. Increasing Lewis number values is a sharp drop in the nanoparticle volume fraction. Bioconvection Lewis number reduces microorganism profiles. The research work focused on electrical systems, heat transfer, acoustics, chemical processing, rigid body dynamics, fluid mechanics, and solid mechanics, among others.

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