Parametric Assessment of Thermal Energy Transport in Magnetohydrodynamic Silver Nanofluid Flow over a Cylindrical Geometry

Thermal energy transport remains a critical challenge in engineering systems, particularly in applications involving advanced cooling technologies, chemical processing, energy conversion, and thermal management devices. This study presents a parametric assessment of thermal energy transport in magnetohydrodynamic (MHD) silver nanofluid flow over a cylindrical geometry by examining the influence of key thermo-physical and flow parameters on heat and mass transfer characteristics. To accurately predict the effective properties of the nanofluid, hybrid constitutive models were adopted by combining the thermal conductivity correlations of Jang and Choi (2004) and Xue (2005), together with the viscosity models of Mooney (1951) and Saito (1950). These models account for the effects of nanoparticle concentration, particle size, temperature, and particle geometry on the transport properties of the nanofluid. The mathematical formulation consists of the continuity, momentum, energy, and concentration equations expressed in cylindrical coordinates. The governing equations incorporate magnetohydrodynamic effects and thermal radiation through the Rosseland diffusion approximation. Analytical solutions were obtained using the Laplace transform technique and evaluated with Wolfram Mathematica Version 12. The influence of the governing dimensionless parameters on the velocity, temperature, and concentration distributions, together with the engineering performance indices including skin friction coefficient, Nusselt number, and Sherwood number, was systematically investigated. The results reveal that increasing the Prandtl number significantly suppresses the thermal boundary layer, leading to a reduction in the nanofluid temperature profile. A similar decline in temperature is observed with increasing thermal radiation parameter, indicating enhanced thermal energy dissipation. Furthermore, variations in the Grashof number, Reynolds number, Schmidt number, and chemical reaction parameter substantially influence the momentum, thermal, and concentration boundary layers. The combined thermo-physical models provide improved prediction of transport behaviour and demonstrate the potential of silver nanofluids for enhanced thermal performance in engineering systems involving cylindrical geometries under magnetic field effects.