Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms

In a stagnation point flow, the rate at which heat transfers in fluid containing nanoparticles across a sheet that is stretchable on a surface having pores has been investigated in this research. Magnetohydrodynamic viscous nanofluid flow is considered that is subjected to Brownian movements and the...

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Main Authors: Munaza Chaudhry, Muhammad Abdul Basit, Muhammad Imran, Madeeha Tahir, Aiedh Mrisi Alharthi, Jihad Younis
Format: Article
Language:English
Published: AIP Publishing LLC 2025-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0249122
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author Munaza Chaudhry
Muhammad Abdul Basit
Muhammad Imran
Madeeha Tahir
Aiedh Mrisi Alharthi
Jihad Younis
author_facet Munaza Chaudhry
Muhammad Abdul Basit
Muhammad Imran
Madeeha Tahir
Aiedh Mrisi Alharthi
Jihad Younis
author_sort Munaza Chaudhry
collection DOAJ
description In a stagnation point flow, the rate at which heat transfers in fluid containing nanoparticles across a sheet that is stretchable on a surface having pores has been investigated in this research. Magnetohydrodynamic viscous nanofluid flow is considered that is subjected to Brownian movements and the thermophoresis effect. By utilizing a numerical technique, the characteristics of heat transmission in nanofluids are investigated. The model is based on momentum, energy, and concentration equations. To explain the flow model’s physical significance, zero mass flux condition has been employed at the surface. Nonlinear partial differential equations are transformed into a collection of linked ordinary differential equations via similarity transformations. Convergent implications of nonlinear systems are produced by MATLAB software’s built-in bvp4c algorithm. To indicate the physical importance, a thorough examination of relevant characteristics, such as heat sink/source, porosity, and magnetic parameter is conducted. We have observed the behavior of profiles by fixing the numerical values of the involving parameters as 0.1 ≤ λ ≤ 2.0, 0.1 ≤ Nr ≤ 3.0, 0.1 ≤ R ≤ 0.4, 0.1 ≤ M ≤ 0.4, 0.1 ≤ Rb ≤ 1.5, and 0.1 ≤ Nb ≤ 0.7. The temperature rises yet the rate at which heat transfers at the surface declines due to the increased far-field velocity. The greater nanoparticles concentration at the far field relative to the surface is related to the zero mass flux condition.
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issn 2158-3226
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spelling doaj-art-bd54fe170b544cff80892371dc5fdc132025-02-03T16:40:42ZengAIP Publishing LLCAIP Advances2158-32262025-01-01151015220015220-1210.1063/5.0249122Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organismsMunaza Chaudhry0Muhammad Abdul Basit1Muhammad Imran2Madeeha Tahir3Aiedh Mrisi Alharthi4Jihad Younis5Department of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College University, Faisalabad, PakistanDepartment of Mathematics, Government College Women University, Faisalabad, PakistanDepartment of Mathematics, Turabah University College, Taif University, Taif, Saudi ArabiaDepartment of Mathematics, University of Aden, Aden, YemenIn a stagnation point flow, the rate at which heat transfers in fluid containing nanoparticles across a sheet that is stretchable on a surface having pores has been investigated in this research. Magnetohydrodynamic viscous nanofluid flow is considered that is subjected to Brownian movements and the thermophoresis effect. By utilizing a numerical technique, the characteristics of heat transmission in nanofluids are investigated. The model is based on momentum, energy, and concentration equations. To explain the flow model’s physical significance, zero mass flux condition has been employed at the surface. Nonlinear partial differential equations are transformed into a collection of linked ordinary differential equations via similarity transformations. Convergent implications of nonlinear systems are produced by MATLAB software’s built-in bvp4c algorithm. To indicate the physical importance, a thorough examination of relevant characteristics, such as heat sink/source, porosity, and magnetic parameter is conducted. We have observed the behavior of profiles by fixing the numerical values of the involving parameters as 0.1 ≤ λ ≤ 2.0, 0.1 ≤ Nr ≤ 3.0, 0.1 ≤ R ≤ 0.4, 0.1 ≤ M ≤ 0.4, 0.1 ≤ Rb ≤ 1.5, and 0.1 ≤ Nb ≤ 0.7. The temperature rises yet the rate at which heat transfers at the surface declines due to the increased far-field velocity. The greater nanoparticles concentration at the far field relative to the surface is related to the zero mass flux condition.http://dx.doi.org/10.1063/5.0249122
spellingShingle Munaza Chaudhry
Muhammad Abdul Basit
Muhammad Imran
Madeeha Tahir
Aiedh Mrisi Alharthi
Jihad Younis
Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms
AIP Advances
title Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms
title_full Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms
title_fullStr Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms
title_full_unstemmed Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms
title_short Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms
title_sort numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation activation energy and living organisms
url http://dx.doi.org/10.1063/5.0249122
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