Research Description
This study investigates heat transfer in a Maxwell nanofluid flowing over a horizontal cylindrical surface immersed in an incompressible viscous medium, subjected to an external magnetic field and uniform heat flux. The model accounts for the effects of Brownian motion, thermophoresis, interstitial fluid velocity, and thermal absorption in biological tissue factors critical in cancer thermal therapy applications. Through appropriate similarity transformations, the governing partial differential equations were reduced to a nonlinear, coupled system of ordinary differential equations, which was solved numerically using "MATLAB’s bvp4c solver".
Numerical results reveal that increasing the thermophoresis parameter leads to a notable decrease in interstitial fluid temperature within tumor tissue, indicating diminished thermal penetration due to nanoparticle migration away from the heated zone. Furthermore, higher Deborah number values and stronger magnetic field intensities enhance localized heat distribution, offering potential mechanisms for precise thermal control in tumor regions. The novelty of this work lies in integrating Maxwell viscoelastic nanofluid dynamics with key tumor microenvironment characteristics, including vascular wall porosity and nonlinear thermal absorption, thereby contributing valuable insights into the design of more effective nanoparticle-based thermal therapies.
