Analytical double-diffusive magnetized transport of carbon nanotubes-Casson blood in porous arterial channel

Carbon nanotubes (CNTs) offer potential for cardiovascular disease treatment, particularly atherosclerosis, due to their high surface area and thermal properties. This study examines CNTs-blood flow modeled as a Casson nanofluid in a porous arterial channel, incorporating double diffusion (heat and mass transfer), magnetohydrodynamics (MHD), and porosity effects. The nanofluid consists of single-wall and multi-wall carbon nanotubes (SWCNTs and MWCNTs) suspended in blood. The Casson fluid model is adopted to represent blood rheology. Blood flow dynamics with double diffusion are governed by partial differential equations with initial and oscillatory boundary conditions. Dimensionless forms are derived, and analytical solutions are obtained using the Laplace transform method. The numerical results obtained via the Gaver–Stehfest algorithm confirm the accuracy of the analytical solutions. Results indicate that increasing the CNTs volume fraction enhances velocity and temperature profiles. A 6% CNTs volume fraction increases heat transfer by 23.22% (SWCNTs) and 21.82% (MWCNTs) while reducing mass transfer by 4.08% for both CNTs types. The highest magnetic field reduces velocity by 8.5%, whereas highest porosity increases it by 5%. SWCNTs demonstrate 1–2.3% higher Nusselt numbers and 0.5–0.7% lower shear stress compared to MWCNTs due to their superior thermal conductivity and lower density. These findings highlight the trade-off between enhanced heat transfer and reduced mass diffusion, providing key insights for medical applications, such as drug delivery and nanofluid-based cardiovascular therapies.