Impact of Joule Heating and Viscous Dissipation on MHD Slip Flow of Tangent Hyperbolic Aluminum Alloys (AA7072-AA7075/H$_2$O) in a Porous Medium with Activation Energy
Research Article  ·  Published: 05 September 2026
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ICCK Journal of Applied Mathematics
Volume 2, Issue 4, 2026: 251-265
Research Article Open Access

Impact of Joule Heating and Viscous Dissipation on MHD Slip Flow of Tangent Hyperbolic Aluminum Alloys (AA7072-AA7075/H$_2$O) in a Porous Medium with Activation Energy

1 Department of Physical and Numerical Sciences, Qurtuba University of Science and Information Technology, Peshawar 25100, Pakistan
* Corresponding Author: Waqas Ahmad, [email protected]
Volume 2, Issue 4
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Article Information

Abstract

This study investigates the two-dimensional magnetohydrodynamic (MHD) slip flow of a tangent-hyperbolic (TGH) aluminum-alloy hybrid nanofluid over a stretching surface in a porous medium. The model incorporates magnetic effects, velocity and thermal slip, thermal radiation, heat generation, viscous dissipation, chemical reaction, and activation energy. The governing nonlinear partial differential equations are transformed into ordinary differential equations using similarity transformations and solved numerically in MATLAB using the bvp4c solver. The effects of key parameters on the velocity, temperature, and concentration profiles are analyzed, together with the skin-friction coefficient, Nusselt number, and Sherwood number. The results show that velocity decreases with increasing velocity-slip, porous-medium, and magnetic parameters, but increases with the fluid-thickness parameter. Temperature increases with nanoparticle volume fraction, magnetic parameter, Eckert number, velocity-slip parameter, and porous-medium parameter, whereas thermal radiation and the thermophoresis parameter reduce temperature. Concentration decreases with increasing activation energy, chemical-reaction parameter, velocity-slip parameter, and Schmidt number, but increases with the Lewis number. Comparison with previously published limiting-case results demonstrates good agreement and validates the numerical solution. These findings highlight the importance of controlling physical parameters in regulating momentum, heat, and mass transfer in MHD hybrid nanofluids, with potential applications in heat exchangers, enhanced oil recovery, environmental remediation, thermal management, and materials processing.

Graphical Abstract

Impact of Joule Heating and Viscous Dissipation on MHD Slip Flow of Tangent Hyperbolic Aluminum Alloys (AA7072-AA7075/H$_2$O) in a Porous Medium with Activation Energy

Keywords

Tangent hyperbolic hybrid nanofluid Joule heating Slip flow Viscous dissipation Thermal radiation Activation energy Porous medium

Data Availability Statement

Data will be made available on request.

Funding

This work was supported without any funding.

Conflicts of Interest

The author declares no conflict of interest.

AI Use Statement

The author declares that no generative AI was used in the preparation of this manuscript.

Ethical Approval and Consent to Participate

Not applicable.

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Cite This Article

APA Style
Ahmad, W. (2026). Impact of Joule Heating and Viscous Dissipation on MHD Slip Flow of Tangent Hyperbolic Aluminum Alloys (AA7072-AA7075/H$_2$O) in a Porous Medium with Activation Energy. ICCK Journal of Applied Mathematics, 2(4), 251-265. https://doi.org/10.62762/JAM.2026.103707
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TY  - JOUR
AU  - Ahmad, Waqas
PY  - 2026
DA  - 2026/09/05
TI  - Impact of Joule Heating and Viscous Dissipation on MHD Slip Flow of Tangent Hyperbolic Aluminum Alloys (AA7072-AA7075/H$_2$O) in a Porous Medium with Activation Energy
JO  - ICCK Journal of Applied Mathematics
T2  - ICCK Journal of Applied Mathematics
JF  - ICCK Journal of Applied Mathematics
VL  - 2
IS  - 4
SP  - 251
EP  - 265
DO  - 10.62762/JAM.2026.103707
UR  - https://www.icck.org/article/abs/JAM.2026.103707
KW  - Tangent hyperbolic hybrid nanofluid
KW  - Joule heating
KW  - Slip flow
KW  - Viscous dissipation
KW  - Thermal radiation
KW  - Activation energy
KW  - Porous medium
AB  - This study investigates the two-dimensional magnetohydrodynamic (MHD) slip flow of a tangent-hyperbolic (TGH) aluminum-alloy hybrid nanofluid over a stretching surface in a porous medium. The model incorporates magnetic effects, velocity and thermal slip, thermal radiation, heat generation, viscous dissipation, chemical reaction, and activation energy. The governing nonlinear partial differential equations are transformed into ordinary differential equations using similarity transformations and solved numerically in MATLAB using the bvp4c solver. The effects of key parameters on the velocity, temperature, and concentration profiles are analyzed, together with the skin-friction coefficient, Nusselt number, and Sherwood number. The results show that velocity decreases with increasing velocity-slip, porous-medium, and magnetic parameters, but increases with the fluid-thickness parameter. Temperature increases with nanoparticle volume fraction, magnetic parameter, Eckert number, velocity-slip parameter, and porous-medium parameter, whereas thermal radiation and the thermophoresis parameter reduce temperature. Concentration decreases with increasing activation energy, chemical-reaction parameter, velocity-slip parameter, and Schmidt number, but increases with the Lewis number. Comparison with previously published limiting-case results demonstrates good agreement and validates the numerical solution. These findings highlight the importance of controlling physical parameters in regulating momentum, heat, and mass transfer in MHD hybrid nanofluids, with potential applications in heat exchangers, enhanced oil recovery, environmental remediation, thermal management, and materials processing.
SN  - 3068-5656
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
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@article{Ahmad2026Impact,
  author = {Waqas Ahmad},
  title = {Impact of Joule Heating and Viscous Dissipation on MHD Slip Flow of Tangent Hyperbolic Aluminum Alloys (AA7072-AA7075/H\$\_2\$O) in a Porous Medium with Activation Energy},
  journal = {ICCK Journal of Applied Mathematics},
  year = {2026},
  volume = {2},
  number = {4},
  pages = {251-265},
  doi = {10.62762/JAM.2026.103707},
  url = {https://www.icck.org/article/abs/JAM.2026.103707},
  abstract = {This study investigates the two-dimensional magnetohydrodynamic (MHD) slip flow of a tangent-hyperbolic (TGH) aluminum-alloy hybrid nanofluid over a stretching surface in a porous medium. The model incorporates magnetic effects, velocity and thermal slip, thermal radiation, heat generation, viscous dissipation, chemical reaction, and activation energy. The governing nonlinear partial differential equations are transformed into ordinary differential equations using similarity transformations and solved numerically in MATLAB using the bvp4c solver. The effects of key parameters on the velocity, temperature, and concentration profiles are analyzed, together with the skin-friction coefficient, Nusselt number, and Sherwood number. The results show that velocity decreases with increasing velocity-slip, porous-medium, and magnetic parameters, but increases with the fluid-thickness parameter. Temperature increases with nanoparticle volume fraction, magnetic parameter, Eckert number, velocity-slip parameter, and porous-medium parameter, whereas thermal radiation and the thermophoresis parameter reduce temperature. Concentration decreases with increasing activation energy, chemical-reaction parameter, velocity-slip parameter, and Schmidt number, but increases with the Lewis number. Comparison with previously published limiting-case results demonstrates good agreement and validates the numerical solution. These findings highlight the importance of controlling physical parameters in regulating momentum, heat, and mass transfer in MHD hybrid nanofluids, with potential applications in heat exchangers, enhanced oil recovery, environmental remediation, thermal management, and materials processing.},
  keywords = {Tangent hyperbolic hybrid nanofluid, Joule heating, Slip flow, Viscous dissipation, Thermal radiation, Activation energy, Porous medium},
  issn = {3068-5656},
  publisher = {Institute of Central Computation and Knowledge}
}

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