TY  - JOUR
AU  - Kumar, Bharat
AU  - Gupta, Ravi
PY  - 2026
DA  - 2026/05/06
TI  - Heat Transfer and Thermal Radiation Inspection of MHD Flow of Hybrid Nanofluid with Variable Viscosity and Thermal Conductivity Using Various Shapes
JO  - ICCK Journal of Applied Mathematics
T2  - ICCK Journal of Applied Mathematics
JF  - ICCK Journal of Applied Mathematics
VL  - 2
IS  - 2
SP  - 173
EP  - 194
DO  - 10.62762/JAM.2026.636964
UR  - https://www.icck.org/article/abs/JAM.2026.636964
KW  - stretching sheet
KW  - nanoparticles shapes
KW  - partial slip
KW  - MHD flow
KW  - radiation parameter
KW  - variable viscosity
KW  - thermal conductivity
AB  - This paper explores heat transfer and MHD flow of different shapes of (Ag-TiO$_{2}$/PAO Oil) hybrid nanoparticles through an unsteady radially stretching sheet consider variable thermal conductivity and viscosity. The present investigation explores the thermal radiation impact of different shapes (platelet, sphere, brick, blade, cylinder) of hybrid nanoparticles with variable viscosity($\mu_\mathrm{hnf}$) and thermal conductivity($k_\mathrm{hnf}$) under the suction and partial slip parameter. This study presents a novel analysis of variable thermal conductivity and viscosity for different shapes of hybrid nanoparticles. The nonlinear ODEs are generated by proper transformation from governing partial differential equations. A numerical technique (BVP4C) is used to solve nonlinear ODEs in MATLAB. Supported by numerous graphs and tables, we discussed the impact in velocity and temperature profile influence by different physical parameters, and also Nusselt number, skin friction coefficient are investigated. An increase in variable viscosity and thermal conductivity parameters causes velocity profile decreases. Platelet-shaped nanoparticles have higher velocity and heat transfer rate compared to nanoparticles of other shapes. We have observed that velocity profile and heat transfer rate decrease in the order of platelet, cylinder, blade, brick, and sphere shape, respectively. The heat transfer rate of platelet-shaped nanoparticles have higher(4.90% than cylinder-shaped nanoparticles, 5.16% than blade-shaped nanoparticles, 9.22% than brick-shaped nanoparticles, 10.57% than sphere-shaped nanoparticle) for fixed values of various parameters. A rise in radiation parameter and viscosity parameter increases heat transfer rate.
SN  - 3068-5656
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Kumar2026Heat,
  author = {Bharat Kumar and Ravi Gupta},
  title = {Heat Transfer and Thermal Radiation Inspection of MHD Flow of Hybrid Nanofluid with Variable Viscosity and Thermal Conductivity Using Various Shapes},
  journal = {ICCK Journal of Applied Mathematics},
  year = {2026},
  volume = {2},
  number = {2},
  pages = {173-194},
  doi = {10.62762/JAM.2026.636964},
  url = {https://www.icck.org/article/abs/JAM.2026.636964},
  abstract = {This paper explores heat transfer and MHD flow of different shapes of (Ag-TiO\$\_{2}\$/PAO Oil) hybrid nanoparticles through an unsteady radially stretching sheet consider variable thermal conductivity and viscosity. The present investigation explores the thermal radiation impact of different shapes (platelet, sphere, brick, blade, cylinder) of hybrid nanoparticles with variable viscosity(\$\mu\_\mathrm{hnf}\$) and thermal conductivity(\$k\_\mathrm{hnf}\$) under the suction and partial slip parameter. This study presents a novel analysis of variable thermal conductivity and viscosity for different shapes of hybrid nanoparticles. The nonlinear ODEs are generated by proper transformation from governing partial differential equations. A numerical technique (BVP4C) is used to solve nonlinear ODEs in MATLAB. Supported by numerous graphs and tables, we discussed the impact in velocity and temperature profile influence by different physical parameters, and also Nusselt number, skin friction coefficient are investigated. An increase in variable viscosity and thermal conductivity parameters causes velocity profile decreases. Platelet-shaped nanoparticles have higher velocity and heat transfer rate compared to nanoparticles of other shapes. We have observed that velocity profile and heat transfer rate decrease in the order of platelet, cylinder, blade, brick, and sphere shape, respectively. The heat transfer rate of platelet-shaped nanoparticles have higher(4.90\% than cylinder-shaped nanoparticles, 5.16\% than blade-shaped nanoparticles, 9.22\% than brick-shaped nanoparticles, 10.57\% than sphere-shaped nanoparticle) for fixed values of various parameters. A rise in radiation parameter and viscosity parameter increases heat transfer rate.},
  keywords = {stretching sheet, nanoparticles shapes, partial slip, MHD flow, radiation parameter, variable viscosity, thermal conductivity},
  issn = {3068-5656},
  publisher = {Institute of Central Computation and Knowledge}
}