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Modified Hiemenz Stagnation Point Flow of Second Grade Nano Fluid
Research Article | Published: 26 August 2025
ICCK Journal of Applied Mathematics Volume 1, Issue 2, 2025: 66-85
Volume 1, Issue 2, ICCK Journal of Applied Mathematics
Volume 1, Issue 2, 2025
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ICCK Journal of Applied Mathematics, Volume 1, Issue 2, 2025: 66-85

Open Access | Research Article | 26 August 2025
Modified Hiemenz Stagnation Point Flow of Second Grade Nano Fluid
by
Aamar Kamal Abbasi Aamar Kamal Abbasi 1
Ali B. M. Ali Ali B. M. Ali 2
Misbah Naseer Misbah Naseer 1
Waseh Farooq Waseh Farooq 1
Shahid Ali Shahid Ali 3 *
Muhammad Rafiq Muhammad Rafiq 4
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]
DOI: 10.62762/JAM.2025.411313
Received: 28 May 2025, Accepted: 21 June 2025, Published: 26 August 2025  
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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
Modified Hiemenz Stagnation Point Flow of Second Grade Nano Fluid
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.
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Cite This Article
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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