Analyzing MHD Boundary Layer Flow over an Exponentially Stretching Surface for Radiology Thermal Management
کد مقاله : 1121-ISME2026
نویسندگان
حسینعلی هوشیار *1، مریم جوهری2، داوود دومیری گنجی3
1دانشگاه امام صادق
2دانشگاه علوم پزشکی بابل
3دانشگاه نوشیروانی بابل
چکیده مقاله
Efficient dissipation of the extreme heat generated within X-ray tubes remains a major challenge in modern radiological systems, where intense electron bombardment produces severe thermal loads on anode and housing components. This study investigates the steady two-dimensional magnetohydrodynamic (MHD) boundary-layer flow and heat transfer of an electrically conducting coolant over an exponentially stretching heated surface, formulated as an idealized representation of high-temperature regions inside X-ray tube assemblies. The governing similarity-transformed equations are solved analytically using the Homotopy Analysis Method (HAM) and validated through a fourth-order Runge-Kutta-Fehlberg (RKF45) scheme, demonstrating excellent agreement across the computational domain. The results reveal that increasing the Hartmann number significantly suppresses fluid velocity due to Lorentz damping while elevating the wall temperature gradient, indicating a potential mechanism for magnetically assisted heat extraction in confined cooling channels. Suction at the boundary effectively removes thermally saturated fluid, reducing both momentum and thermal boundary-layer thicknesses and enhancing cooling efficiency. Thermal stratification, characteristic of enclosed radiological housings, reduces bulk coolant temperature but steepens the wall gradient, thereby intensifying heat transfer. Additionally, higher Prandtl numbers produce thinner thermal layers and sharper gradients, highlighting the importance of coolant formulation for radiological applications.
کلیدواژه ها
medical imaging, heat transfer, boundary layer, magnetohydrodynamics, thermal management.
وضعیت: پذیرفته شده برای ارائه شفاهی