Research Article
Open Access
Modified Hiemenz Stagnation Point Flow of Second Grade Nano Fluid
1
Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan
2
Department of Mechanical Engineering, College of Engineering, University of Warith Al-Anbiyaa, Karbala, Iraq
3
School of Electronics Engineering and Computer Science, Peking University, Beijing 100871, China
4
College of Business Administration, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia
* Corresponding Author:
Shahid Ali,
[email protected]
Volume 1, Issue 2
2025
Received: 28 May 2025
Accepted: 21 June 2025
Published: 26 August 2025
Article Information
Published in
ICCK Journal of Applied Mathematics
Volume/Issue
Volume 1, Issue 2, 2025
Pages
66-85
Cited by
7 (Crossref)
6 (Scopus)
Abstract
Three-dimensional (3D) flow of a viscoelastic fluid in the neighborhood of new family of modified stagnation point depending on shear to strain ratio over a flat surface is numerically investigated. Similarity equations are obtained from the fundamental conservation laws of mass, momentum, energy and nanoparticle concentration. The resulting set of nonlinear equations are solved numerically using an implicit finite difference scheme known as Keller-Box Method. A comparative analysis for modified Hiemenz flow, non-axisymmetric stagnation point and axisymmetric stagnation point flow is carried out. Velocity, temperature and concentration profiles, skin frictions local Nusselt and Sherwood numbers are graphically presented and their variation with involved parameters is discussed in detail. We found that velocity concentration and temperature profiles increase by an increasing the values of We.
Graphical Abstract
Keywords
modified hiemenz flow
second grade fluid
numerical solution
nanofluid
Keller-Box method
Data Availability Statement
Data will be made available on request.
Funding
This work was supported without any funding.
Conflicts of Interest
The authors declare no conflicts of interest.
Ethical Approval and Consent to Participate
Not applicable.
References
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APA Style
Abbasi, A. K., Ali, A. B. M., Naseer, M., Farooq, W., Ali, S., & Rafiq, M. (2025). Modified Hiemenz Stagnation Point Flow of Second Grade Nano Fluid. ICCK Journal of Applied Mathematics, 1(2), 66–85. https://doi.org/10.62762/JAM.2025.411313
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TY - JOUR AU - Abbasi, Aamar Kamal AU - Ali, Ali B. M. AU - Naseer, Misbah AU - Farooq, Waseh AU - Ali, Shahid AU - Rafiq, Muhammad PY - 2025 DA - 2025/08/26 TI - Modified Hiemenz Stagnation Point Flow of Second Grade Nano Fluid JO - ICCK Journal of Applied Mathematics T2 - ICCK Journal of Applied Mathematics JF - ICCK Journal of Applied Mathematics VL - 1 IS - 2 SP - 66 EP - 85 DO - 10.62762/JAM.2025.411313 UR - https://www.icck.org/article/abs/JAM.2025.411313 KW - modified hiemenz flow KW - second grade fluid KW - numerical solution KW - nanofluid KW - Keller-Box method AB - Three-dimensional (3D) flow of a viscoelastic fluid in the neighborhood of new family of modified stagnation point depending on shear to strain ratio over a flat surface is numerically investigated. Similarity equations are obtained from the fundamental conservation laws of mass, momentum, energy and nanoparticle concentration. The resulting set of nonlinear equations are solved numerically using an implicit finite difference scheme known as Keller-Box Method. A comparative analysis for modified Hiemenz flow, non-axisymmetric stagnation point and axisymmetric stagnation point flow is carried out. Velocity, temperature and concentration profiles, skin frictions local Nusselt and Sherwood numbers are graphically presented and their variation with involved parameters is discussed in detail. We found that velocity concentration and temperature profiles increase by an increasing the values of We. SN - 3068-5656 PB - Institute of Central Computation and Knowledge LA - English ER -
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@article{Abbasi2025Modified,
author = {Aamar Kamal Abbasi and Ali B. M. Ali and Misbah Naseer and Waseh Farooq and Shahid Ali and Muhammad Rafiq},
title = {Modified Hiemenz Stagnation Point Flow of Second Grade Nano Fluid},
journal = {ICCK Journal of Applied Mathematics},
year = {2025},
volume = {1},
number = {2},
pages = {66-85},
doi = {10.62762/JAM.2025.411313},
url = {https://www.icck.org/article/abs/JAM.2025.411313},
abstract = {Three-dimensional (3D) flow of a viscoelastic fluid in the neighborhood of new family of modified stagnation point depending on shear to strain ratio over a flat surface is numerically investigated. Similarity equations are obtained from the fundamental conservation laws of mass, momentum, energy and nanoparticle concentration. The resulting set of nonlinear equations are solved numerically using an implicit finite difference scheme known as Keller-Box Method. A comparative analysis for modified Hiemenz flow, non-axisymmetric stagnation point and axisymmetric stagnation point flow is carried out. Velocity, temperature and concentration profiles, skin frictions local Nusselt and Sherwood numbers are graphically presented and their variation with involved parameters is discussed in detail. We found that velocity concentration and temperature profiles increase by an increasing the values of We.},
keywords = {modified hiemenz flow, second grade fluid, numerical solution, nanofluid, Keller-Box method},
issn = {3068-5656},
publisher = {Institute of Central Computation and Knowledge}
}
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