Heat Transfer and Modified Darcy's Principle in Peristaltic Motion with Hartmann Boundary Layer
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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.
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References
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Cite This Article
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 -
@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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