TY  - JOUR
AU  - Avinash, N.
AU  - Govindan, Vediyappan
PY  - 2026
DA  - 2026/06/05
TI  - Soret Influence in the Presence of Thermal Radiation, Heat Generation, and Chemical Reaction on Unsteady Magnetohydrodynamic Mixed Convective Oscillatory Flow through a Two-Phase Horizontal Channel
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  - 63
EP  - 80
DO  - 10.62762/IJTSSE.2026.295982
UR  - https://www.icck.org/article/abs/IJTSSE.2026.295982
KW  - MHD oscillatory flow
KW  - two-phase channel
KW  - Soret effect
KW  - thermal radiation
KW  - chemical reaction
KW  - mixed convection
KW  - porous medium
KW  - perturbation method
KW  - heat generation
KW  - skin friction
AB  - This paper analytically investigates unsteady, laminar, magnetohydrodynamic (MHD) mixed convective oscillatory flow of two immiscible viscous fluids through a horizontal two-phase channel. The channel consists of a porous upper region (Region~I, $0 \le y \le h$) and a non-porous lower region (Region~II, $-h \le y \le 0$), separated by a permeable interface, with a uniform transverse magnetic field $B_0$ applied normal to the flow. The governing equations incorporate thermal buoyancy ($Gr$), concentration buoyancy ($Gc$), Darcy porous resistance, thermal radiation (Rosseland approximation), volumetric heat generation/absorption, first-order destructive chemical reaction, and the Soret effect in both regions. An oscillatory suction/injection velocity is assumed at the walls, and a perturbation expansion in the small parameter $\varepsilon \ll 1$ decouples the system into zeroth-order (steady) and first-order (oscillatory) ODEs, solved analytically. Six interface conditions enforce continuity of velocity, shear stress, temperature, heat flux, concentration, and mass flux. Closed-form expressions are derived for velocity, temperature, and concentration profiles, as well as skin friction $\tau$, Nusselt number $Nu$, and Sherwood number $Sh$. Parametric studies show that increasing the Soret number $Sr$ enhances velocity by 15-20% in the porous region, while increasing the Hartmann number $M$ retards flow by up to 40% via the Lorentz force. Thermal radiation augments both $Nu$ and the thermal field, and destructive chemical reaction increases $Sh$ by 25-30%. Results are validated against limiting cases including hydrodynamic flow ($M=0$), no Soret effect ($Sr=0$), and the single-phase limit.
SN  - 3069-1877
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Avinash2026Soret,
  author = {N. Avinash and Vediyappan Govindan},
  title = {Soret Influence in the Presence of Thermal Radiation, Heat Generation, and Chemical Reaction on Unsteady Magnetohydrodynamic Mixed Convective Oscillatory Flow through a Two-Phase Horizontal Channel},
  journal = {International Journal of Thermo-Fluid Systems and Sustainable Energy},
  year = {2026},
  volume = {2},
  number = {2},
  pages = {63-80},
  doi = {10.62762/IJTSSE.2026.295982},
  url = {https://www.icck.org/article/abs/IJTSSE.2026.295982},
  abstract = {This paper analytically investigates unsteady, laminar, magnetohydrodynamic (MHD) mixed convective oscillatory flow of two immiscible viscous fluids through a horizontal two-phase channel. The channel consists of a porous upper region (Region~I, \$0 \le y \le h\$) and a non-porous lower region (Region~II, \$-h \le y \le 0\$), separated by a permeable interface, with a uniform transverse magnetic field \$B\_0\$ applied normal to the flow. The governing equations incorporate thermal buoyancy (\$Gr\$), concentration buoyancy (\$Gc\$), Darcy porous resistance, thermal radiation (Rosseland approximation), volumetric heat generation/absorption, first-order destructive chemical reaction, and the Soret effect in both regions. An oscillatory suction/injection velocity is assumed at the walls, and a perturbation expansion in the small parameter \$\varepsilon \ll 1\$ decouples the system into zeroth-order (steady) and first-order (oscillatory) ODEs, solved analytically. Six interface conditions enforce continuity of velocity, shear stress, temperature, heat flux, concentration, and mass flux. Closed-form expressions are derived for velocity, temperature, and concentration profiles, as well as skin friction \$\tau\$, Nusselt number \$Nu\$, and Sherwood number \$Sh\$. Parametric studies show that increasing the Soret number \$Sr\$ enhances velocity by 15-20\% in the porous region, while increasing the Hartmann number \$M\$ retards flow by up to 40\% via the Lorentz force. Thermal radiation augments both \$Nu\$ and the thermal field, and destructive chemical reaction increases \$Sh\$ by 25-30\%. Results are validated against limiting cases including hydrodynamic flow (\$M=0\$), no Soret effect (\$Sr=0\$), and the single-phase limit.},
  keywords = {MHD oscillatory flow, two-phase channel, Soret effect, thermal radiation, chemical reaction, mixed convection, porous medium, perturbation method, heat generation, skin friction},
  issn = {3069-1877},
  publisher = {Institute of Central Computation and Knowledge}
}