Analytical study of steady state axisymmetric stagnation-point gold–blood Casson nanofluid through a rotating stretchable disk

Nanofluids find extensive applications in enhancing the thermodynamic efficiency of thermal systems across various domains of engineering and scientific disciplines. This study aims to explore the complex relationship between the varying thermal conductivity and viscosity impact in nanofluid dynamic...

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Main Authors: Usman Ali, Hamid Khan, Waris Khan, Emad E. Mahmoud, Marouan Kouki, Jabr Aljedani, Hakim AL Garalleh
Format: Article
Language:English
Published: AIP Publishing LLC 2025-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0240311
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author Usman Ali
Hamid Khan
Waris Khan
Emad E. Mahmoud
Marouan Kouki
Jabr Aljedani
Hakim AL Garalleh
author_facet Usman Ali
Hamid Khan
Waris Khan
Emad E. Mahmoud
Marouan Kouki
Jabr Aljedani
Hakim AL Garalleh
author_sort Usman Ali
collection DOAJ
description Nanofluids find extensive applications in enhancing the thermodynamic efficiency of thermal systems across various domains of engineering and scientific disciplines. This study aims to explore the complex relationship between the varying thermal conductivity and viscosity impact in nanofluid dynamics. The main objective of this study is to examine the three-dimensional stagnation flow of Casson nanofluid across a stretching and spinning disk, influenced by a magnetic source. The Navier–Stokes model for flow systems includes Brownian diffusion and thermophoresis. By using scaling variables, the complex system of partial differential equations is simplified into a set of coupled high degree nonlinear ordinary differential equations with convective boundary conditions. The homotopy technique is applied for analytic solutions. The optimization analysis is conducted on heat transfer rate and surface drag force coefficient using response parameters. The influence of the different parameters for the flow problem has been discussed and is shown through graphs. The finding of our study is that the velocity profiles increase in both radial directions as well as in the azimuthal direction by varying the rotation parameter strength, while the temperature gradient profile dwindles. Finally, the precision of the presented model is reaffirmed by means of a graphical juxtaposition with published data under a specific limiting scenario.
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series AIP Advances
spelling doaj-art-1f4591caa4a34df888386be97c69dee12025-02-03T16:40:42ZengAIP Publishing LLCAIP Advances2158-32262025-01-01151015032015032-1510.1063/5.0240311Analytical study of steady state axisymmetric stagnation-point gold–blood Casson nanofluid through a rotating stretchable diskUsman Ali0Hamid Khan1Waris Khan2Emad E. Mahmoud3Marouan Kouki4Jabr Aljedani5Hakim AL Garalleh6Department of Mathematics, Islamia College University Peshawar, Peshawar, KP 25120, PakistanDepartment of Mathematics, Islamia College University Peshawar, Peshawar, KP 25120, PakistanDepartment of Mathematics and Statistics, Hazara University Mansehra, Mansehra 21120, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Statistics, Collage of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Information System, Faculty of Computing and Information Technology, Northern Border University, Rafha, Saudi ArabiaThe General Required Courses Department, The Applied College, King Abdulaziz University, 22245 Jeddah, Saudi ArabiaDepartment of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah 21361, Saudi ArabiaNanofluids find extensive applications in enhancing the thermodynamic efficiency of thermal systems across various domains of engineering and scientific disciplines. This study aims to explore the complex relationship between the varying thermal conductivity and viscosity impact in nanofluid dynamics. The main objective of this study is to examine the three-dimensional stagnation flow of Casson nanofluid across a stretching and spinning disk, influenced by a magnetic source. The Navier–Stokes model for flow systems includes Brownian diffusion and thermophoresis. By using scaling variables, the complex system of partial differential equations is simplified into a set of coupled high degree nonlinear ordinary differential equations with convective boundary conditions. The homotopy technique is applied for analytic solutions. The optimization analysis is conducted on heat transfer rate and surface drag force coefficient using response parameters. The influence of the different parameters for the flow problem has been discussed and is shown through graphs. The finding of our study is that the velocity profiles increase in both radial directions as well as in the azimuthal direction by varying the rotation parameter strength, while the temperature gradient profile dwindles. Finally, the precision of the presented model is reaffirmed by means of a graphical juxtaposition with published data under a specific limiting scenario.http://dx.doi.org/10.1063/5.0240311
spellingShingle Usman Ali
Hamid Khan
Waris Khan
Emad E. Mahmoud
Marouan Kouki
Jabr Aljedani
Hakim AL Garalleh
Analytical study of steady state axisymmetric stagnation-point gold–blood Casson nanofluid through a rotating stretchable disk
AIP Advances
title Analytical study of steady state axisymmetric stagnation-point gold–blood Casson nanofluid through a rotating stretchable disk
title_full Analytical study of steady state axisymmetric stagnation-point gold–blood Casson nanofluid through a rotating stretchable disk
title_fullStr Analytical study of steady state axisymmetric stagnation-point gold–blood Casson nanofluid through a rotating stretchable disk
title_full_unstemmed Analytical study of steady state axisymmetric stagnation-point gold–blood Casson nanofluid through a rotating stretchable disk
title_short Analytical study of steady state axisymmetric stagnation-point gold–blood Casson nanofluid through a rotating stretchable disk
title_sort analytical study of steady state axisymmetric stagnation point gold blood casson nanofluid through a rotating stretchable disk
url http://dx.doi.org/10.1063/5.0240311
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