Figure 1
From: Magnetic nanoparticles hyperthermia in a non-adiabatic and radiating process
Schematic representation of our theoretical system—a suspension of magnetic nanoparticles inside a cylindrical sample holder, which is submitted to an alternating magnetic field. Suspension (a.I) in thermal equilibrium with the environment, (a.II) in an adiabatic regime during a short time interval just after the AMF is turned on, and (a.III) in the non-adiabatic regime. (b) Definitions of some quantities employed in our theoretical approach. Here, we consider T as the temperature of the suspension, and \(P_{cond}\) as the heat loss rate due to the process of conduction through the walls of the sample holder, with \(\kappa _{sh}\) denoting the thermal conductivity of the sample holder; \(P_{conv}\) corresponds to the heat loss rate associated to the convection process of heat transfer from the outer surface of the sample holder and the upper surface of the sample, both surrounded by air; \(h_{air}\) is the heat transfer coefficient of the air, and \(T_{air}\) is the temperature of the environment; and finally \(P_{rad}\) is heat loss rate due to the thermal radiation.
