Abstract
In the present work, a two-phase mathematical model of intravenous magnetic (Fe3O4,Fe2O3 or FePt) nanoparticle hyperthermia is considered for the treatment of muscle and prostate tumours. The blood-nanoparticle suspension is described as a non-Newtonian (Quemada) nanofluid, and the effects of thermophoresis and Brownian motion are considered. The blood vessel region is surrounded by a cancerous (muscle or prostate) tumour region, a non-cancerous (muscle or prostate) region and a fat layer. Heat is generated within these tissue regions using an external alternating magnetic field. A numerical solution of the problem is obtained using the mixed finite element method with P2-P1 Taylor-Hood elements. Using this numerical solution, the influence of tumour size, blood vessel radius and haematocrit on blood flow, convective heat transfer, nanoparticle mass transport and blood pressure is examined.
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