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Hybrid Nanofluid Heat Transfer Adjacent to Vertical Permeable Surface in the Presence of Thermal Boundary Slip
Research Article | Published: 21 June 2025
Computational Environmental Heat Transfer Volume 1, Issue 1, 2025: 39-50
Volume 1, Issue 1, Computational Environmental Heat Transfer
Volume 1, Issue 1, 2025
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Computational Environmental Heat Transfer, Volume 1, Issue 1, 2025: 39-50

Open Access | Research Article | 21 June 2025
Hybrid Nanofluid Heat Transfer Adjacent to Vertical Permeable Surface in the Presence of Thermal Boundary Slip
by
Uzma Ahmad Uzma Ahmad 1 *
Kainat Jafri Kainat Jafri 1
1 Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha 40100, Pakistan
* Corresponding Author: Uzma Ahmad, [email protected]
DOI: 10.62762/CEHT.2025.611372
Received: 26 March 2025, Accepted: 07 May 2025, Published: 21 June 2025  
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Abstract
The class of fluid known as hybrid nanofluid has numerous engineering applications in the thermal industry. This study is focused on the heat transmission of the hybrid nanofluid adjacent to a vertical permeable surface by incorporating thermal boundary slip. To support this analysis, a mathematical framework has been established, presenting the problem in terms of coupled nonlinear partial differential equations. These equations have been transformed into a system of dimensionless partial differential equations using appropriate dimensionless variables. Furthermore, the finite difference technique has been employed to obtain the appropriate results. The effects of various dimensionless engineering physical parameters related to hybrid nanofluids have been examined in terms of heat transient rate, coefficient of skin friction, velocity, and temperature profiles. The findings are summarized in both graphical and tabular formats. It is keenly observed that, as the numeric values of transpiration parameter (xi_i) rise, the inclusion of thermal boundary slip leads to an augmentation of velocity and thermal profile at the surface under the effects of both suction and injection. However, an enhancement in the Prandtl number (P_r) results in a decline in velocity profile and an improvement in temperature distribution for both suction and injection.
Graphical Abstract
Hybrid Nanofluid Heat Transfer Adjacent to Vertical Permeable Surface in the Presence of Thermal Boundary Slip
Keywords
hybrid nanofluid
permeable surface
thermal boundary slip
finite difference technique
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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APA Style
Ahmad, U., & Jafri, K. (2025). Hybrid Nanofluid Heat Transfer Adjacent to Vertical Permeable Surface in the Presence of Thermal Boundary Slip. Computational Environmental Heat Transfer, 1(1), 39–50. https://doi.org/10.62762/CEHT.2025.611372
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