### A mathematical analysis of two dimensional steady state heat conduction in the coil of an induction heater using finite element method

#### Abstract

In developing heaters typically an induction heater within specific temperature limits can be a key issue impacting the efficiency
of the overall policy, as the typical loading of an induction heater is costly. Mathematical modelling is highly useful in terms
of estimating the rise in temperature and in shedding light on the wider processes. The projected model might in addition
reduce computing prices. The paper develops a 2-Dimensional (2-D) steady state thermal model in polar co-ordinates by
means of finite element formulation and arch shaped components. A temperature time methodology is utilized to calculate
the distribution of loss in various elements of the induction heater and used as input for finite element analysis. Additional
precise temperature distributions are obtained. The projected model is applied to predict the temperature rise within the coil
of the induction heater 3200 W totally encircled fan-cooled induction heater. The temperature distribution was determined
considering convection from the outer air gap surface and circular finish surface for each entirely encircled and semi encircled
structures.

#### Keywords

Induction Heater, Coil, Design Performance, FEM.

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