Heat Transfer and Modified Darcy's Principle in Peristaltic Motion with Hartmann Boundary Layer
Research Article  ·  Published: 27 June 2025
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ICCK Journal of Applied Mathematics
Volume 1, Issue 1, 2025: 32-40
Research Article Open Access

Heat Transfer and Modified Darcy's Principle in Peristaltic Motion with Hartmann Boundary Layer

1 Department of Mathematics and Statistics, Riphah International University I-14, Islamabad, 44000, Pakistan
2 Department of Mathematics, National University of Modern Languages (NUML), Islamabad 44000, Pakistan
* Corresponding Author: Shahid Farooq, [email protected]
Volume 1, Issue 1

Article Information

Abstract

This research contains the Hartmann boundary layer effectiveness in peristaltic flow of non-Newtonian viscoelastic fluids through asymmetric channel walls. Due to the Hartmann boundary layer, Hartmann number is considered very large. Porosity effects are included in view of modified Darcy's principle. Energy equation is modelled in the presence of viscous dissipation and Joule heating features. No slip condition for fluid velocity is considered at both channel walls. Large wavelength and dominating viscous forces implementation reduce the PDEs into ODEs. The resulting system of ODEs approximate solution is attained through perturbation and matching techniques for large magnetic field effects. Lastly the obtained approximate analytic solution is utilized to study the varying behaviour of velocity and temperature profiles against involved sundry parameters through graphs.

Graphical Abstract

Heat Transfer and Modified Darcy's Principle in Peristaltic Motion with Hartmann Boundary Layer

Keywords

modified darcy law eyring-powel liquid heat generation absorption natural and force convection compliant wall properties

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
Farooq, S., & Sana, A. (2025). Heat Transfer and Modified Darcy’s Principle in Peristaltic Motion with Hartmann Boundary Layer. ICCK Journal of Applied Mathematics, 1(1), 32–40. https://doi.org/10.62762/JAM.2025.463651
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TY  - JOUR
AU  - Farooq, Shahid
AU  - Sana, Aiman
PY  - 2025
DA  - 2025/06/27
TI  - Heat Transfer and Modified Darcy's Principle in Peristaltic Motion with Hartmann Boundary Layer
JO  - ICCK Journal of Applied Mathematics
T2  - ICCK Journal of Applied Mathematics
JF  - ICCK Journal of Applied Mathematics
VL  - 1
IS  - 1
SP  - 32
EP  - 40
DO  - 10.62762/JAM.2025.463651
UR  - https://www.icck.org/article/abs/JAM.2025.463651
KW  - modified darcy law
KW  - eyring-powel liquid
KW  - heat generation absorption
KW  - natural and force convection
KW  - compliant wall properties
AB  - This research contains the Hartmann boundary layer effectiveness in peristaltic flow of non-Newtonian viscoelastic fluids through asymmetric channel walls. Due to the Hartmann boundary layer, Hartmann number is considered very large. Porosity effects are included in view of modified Darcy's principle. Energy equation is modelled in the presence of viscous dissipation and Joule heating features. No slip condition for fluid velocity is considered at both channel walls. Large wavelength and dominating viscous forces implementation reduce the PDEs into ODEs. The resulting system of ODEs approximate solution is attained through perturbation and matching techniques for large magnetic field effects. Lastly the obtained approximate analytic solution is utilized to study the varying behaviour of velocity and temperature profiles against involved sundry parameters through graphs.
SN  - 3068-5656
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
BibTeX Format
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@article{Farooq2025Heat,
  author = {Shahid Farooq and Aiman Sana},
  title = {Heat Transfer and Modified Darcy's Principle in Peristaltic Motion with Hartmann Boundary Layer},
  journal = {ICCK Journal of Applied Mathematics},
  year = {2025},
  volume = {1},
  number = {1},
  pages = {32-40},
  doi = {10.62762/JAM.2025.463651},
  url = {https://www.icck.org/article/abs/JAM.2025.463651},
  abstract = {This research contains the Hartmann boundary layer effectiveness in peristaltic flow of non-Newtonian viscoelastic fluids through asymmetric channel walls. Due to the Hartmann boundary layer, Hartmann number is considered very large. Porosity effects are included in view of modified Darcy's principle. Energy equation is modelled in the presence of viscous dissipation and Joule heating features. No slip condition for fluid velocity is considered at both channel walls. Large wavelength and dominating viscous forces implementation reduce the PDEs into ODEs. The resulting system of ODEs approximate solution is attained through perturbation and matching techniques for large magnetic field effects. Lastly the obtained approximate analytic solution is utilized to study the varying behaviour of velocity and temperature profiles against involved sundry parameters through graphs.},
  keywords = {modified darcy law, eyring-powel liquid, heat generation absorption, natural and force convection, compliant wall properties},
  issn = {3068-5656},
  publisher = {Institute of Central Computation and Knowledge}
}

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