TY  - JOUR
AU  - Sudarmozhi, K.
PY  - 2026
DA  - 2026/10/20
TI  - Magnetohydrodynamic and Thermal Behaviour of Maxwell Fluids over Cylindrical Surfaces in Porous Media with Joule Heating Effects
JO  - International Journal of Thermo-Fluid Systems and Sustainable Energy
T2  - International Journal of Thermo-Fluid Systems and Sustainable Energy
JF  - International Journal of Thermo-Fluid Systems and Sustainable Energy
VL  - 2
IS  - 2
SP  - 117
EP  - 129
DO  - 10.62762/IJTSSE.2026.517065
UR  - https://www.icck.org/article/abs/IJTSSE.2026.517065
KW  - joule heating
KW  - Maxwell fluid
KW  - Newtonian heating
KW  - stretching cylinder
KW  - porous medium
KW  - bvp4c
AB  - This work examines steady, laminar, axisymmetric flow of an electrically conducting upper-convected Maxwell fluid over a stretching cylinder embedded in a Darcy porous medium, with Joule heating, viscous dissipation and Newtonian (conjugate) wall heating acting together. Similarity transformations reduce the momentum, energy and species equations to coupled nonlinear ordinary differential equations, which are solved with a fourth-order collocation method with residual control (bvp4c). In the limiting case of a flat sheet, the computed skin-friction coefficients agree with five published benchmark solutions to within 0.032%, and tolerance, mesh and domain-length tests confirm convergence. Raising the magnetic parameter from 0.5 to 1.0 increases the skin-friction coefficient by 13.37% and the Nusselt number by 10.61%, but lowers the Sherwood number by 6.73%. Raising the porous-medium parameter $Po$ from 0.3 to 0.5 increases the skin friction by 6.10% and the Nusselt number by 2.41%, and a larger Maxwell (relaxation-time) parameter, from 0.1 to 0.3, gives 3.77% more skin friction and a 2.04% higher Nusselt number; both reduce the Sherwood number. Heat transfer is most sensitive to the wall-heating parameters: the Nusselt number rises by 16.86% when $Ec$ increases from 0.3 to 0.5 and by a factor of about 5.3 when the Newtonian heating parameter increases from 0.1 to 0.3, whereas it varies non-monotonically with $Pr$. Increasing the Schmidt number from 2 to 4 raises the Sherwood number by 52.79%. The magnetic, porous and viscoelastic parameters thicken the thermal and concentration boundary layers, while a larger curvature parameter lowers the wall temperature but thickens the outer part of both layers. The results are relevant to polymer extrusion, wire and fibre coating, heat exchangers, chemical reactors and thermal management of electronic devices.
SN  - 3069-1877
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Sudarmozhi2026Magnetohyd,
  author = {K. Sudarmozhi},
  title = {Magnetohydrodynamic and Thermal Behaviour of Maxwell Fluids over Cylindrical Surfaces in Porous Media with Joule Heating Effects},
  journal = {International Journal of Thermo-Fluid Systems and Sustainable Energy},
  year = {2026},
  volume = {2},
  number = {2},
  pages = {117-129},
  doi = {10.62762/IJTSSE.2026.517065},
  url = {https://www.icck.org/article/abs/IJTSSE.2026.517065},
  abstract = {This work examines steady, laminar, axisymmetric flow of an electrically conducting upper-convected Maxwell fluid over a stretching cylinder embedded in a Darcy porous medium, with Joule heating, viscous dissipation and Newtonian (conjugate) wall heating acting together. Similarity transformations reduce the momentum, energy and species equations to coupled nonlinear ordinary differential equations, which are solved with a fourth-order collocation method with residual control (bvp4c). In the limiting case of a flat sheet, the computed skin-friction coefficients agree with five published benchmark solutions to within 0.032\%, and tolerance, mesh and domain-length tests confirm convergence. Raising the magnetic parameter from 0.5 to 1.0 increases the skin-friction coefficient by 13.37\% and the Nusselt number by 10.61\%, but lowers the Sherwood number by 6.73\%. Raising the porous-medium parameter \$Po\$ from 0.3 to 0.5 increases the skin friction by 6.10\% and the Nusselt number by 2.41\%, and a larger Maxwell (relaxation-time) parameter, from 0.1 to 0.3, gives 3.77\% more skin friction and a 2.04\% higher Nusselt number; both reduce the Sherwood number. Heat transfer is most sensitive to the wall-heating parameters: the Nusselt number rises by 16.86\% when \$Ec\$ increases from 0.3 to 0.5 and by a factor of about 5.3 when the Newtonian heating parameter increases from 0.1 to 0.3, whereas it varies non-monotonically with \$Pr\$. Increasing the Schmidt number from 2 to 4 raises the Sherwood number by 52.79\%. The magnetic, porous and viscoelastic parameters thicken the thermal and concentration boundary layers, while a larger curvature parameter lowers the wall temperature but thickens the outer part of both layers. The results are relevant to polymer extrusion, wire and fibre coating, heat exchangers, chemical reactors and thermal management of electronic devices.},
  keywords = {joule heating, Maxwell fluid, Newtonian heating, stretching cylinder, porous medium, bvp4c},
  issn = {3069-1877},
  publisher = {Institute of Central Computation and Knowledge}
}