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

Hybrid Nanofluid Heat Transfer Adjacent to Vertical Permeable Surface in the Presence of Thermal Boundary Slip

1 Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha 40100, Pakistan
* Corresponding Author: Uzma Ahmad, [email protected]
Volume 1, Issue 1
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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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Cited By (1)

  1. Ghulam Rasool, Ali B.M. Ali, Azim Uddin, Ilkhom Khaydarov, Gaganjot Kaur, Geeta Durga, Mirjalol Ismoilov. Multi-objective heat transfer optimization of hybrid nanofluids in porous medium. Results in Surfaces and Interfaces, 2026 , 24 .
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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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TY  - JOUR
AU  - Ahmad, Uzma
AU  - Jafri, Kainat
PY  - 2025
DA  - 2025/06/21
TI  - Hybrid Nanofluid Heat Transfer Adjacent to Vertical Permeable Surface in the Presence of Thermal Boundary Slip
JO  - Computational Environmental Heat Transfer
T2  - Computational Environmental Heat Transfer
JF  - Computational Environmental Heat Transfer
VL  - 1
IS  - 1
SP  - 39
EP  - 50
DO  - 10.62762/CEHT.2025.611372
UR  - https://www.icck.org/article/abs/CEHT.2025.611372
KW  - hybrid nanofluid
KW  - permeable surface
KW  - thermal boundary slip
KW  - finite difference technique
AB  - 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.
SN  - 3068-5486
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
BibTeX Format
Compatible with LaTeX, BibTeX, and other reference managers
@article{Ahmad2025Hybrid,
  author = {Uzma Ahmad and Kainat Jafri},
  title = {Hybrid Nanofluid Heat Transfer Adjacent to Vertical Permeable Surface in the Presence of Thermal Boundary Slip},
  journal = {Computational Environmental Heat Transfer},
  year = {2025},
  volume = {1},
  number = {1},
  pages = {39-50},
  doi = {10.62762/CEHT.2025.611372},
  url = {https://www.icck.org/article/abs/CEHT.2025.611372},
  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.},
  keywords = {hybrid nanofluid, permeable surface, thermal boundary slip, finite difference technique},
  issn = {3068-5486},
  publisher = {Institute of Central Computation and Knowledge}
}

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