Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue

Abstract This manuscript introduces a theoretical model to study the problem of heat and mass transfer in biological tissues in a magnetic field, which simulates cancer treatment using thermal therapy. In particular, this model incorporates the influence of the Brownian motion and thermal thermophoresis of nanoparticles. Firstly, the non-linear governing equations of motion are transformed into ordinary differential equations using similarity transformations, then solved numerically according to appropriate boundary conditions using MATLAB built-in solver- bvp4c. All parameters and their impacts on the flow have been investigated and studied. The model predictions showed that increasing the heat absorption by nanoparticles in the tissue increases the tumour temperature, which helps to improve the therapeutic efficiency and reduce the concentration of nanoparticles. Hence, the results of this study could enhance the effectiveness of thermal therapy for malignancies. Article Highlights The transport of nanoparticles (NPs) to the deep tissue is improved when the heat transfer coefficient is raised. The temperature of interstitial fluid significantly reduces the velocity of the interstitial fluid. Exposing tumours to an external heat source enhances the NP delivery to the tumour.