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During the last decades, an extensive research work has been done on the fluids dynamics in the presence of magnetic field (magnetorheological fluids and ferrofluids). The effect of magnetic field on fluids is worth investigating due to its innumerable applications in wide spectrum of fields. The study of interaction of the magnetic field or the electromagnetic field with fluids have been documented e.g. among nuclear fusion, chemical engineering, medicine, high speed noiseless printing and transformer cooling. Ferrofluids are industrially prepared magnetic fluids which consist of stable colloidal suspensions of small single-domain ferromagnetic particles in suitable carrier liquids. Usually these fluids do not conduct electric current and exhibit a nonlinear paramagnetic behavior. An external magnetic field imposed on a ferrofluid with varying susceptibility, e.g., due to a temperature gradient, results in a non-uniform magnetic body force, which leads to a form of heat transfer called thermomagnetic convection. This form of heat transfer can be useful when conventional convection heat transfer is inadequate, e.g., in miniature microscale devices or under reduced gravity conditions. This chapter contains numerical results of computer simulation of heat transfer through a ferrofluid in channel flow under the influence of magnetic dipole, ferrofluid cooling of heatgenerating device and heat transfer through a ferrofluid in channel with porous walls. All considered problems describe two-dimensional time dependent heat transfer through a ferrofluid in channel in response to magnetic force arising from the magnetic field of the magnetic dipole. Numerical results show us the potential of ferrofluid in cooling of heatgenerating devices. In last problem we can observe a form of heat transfer called thermomagnetic convection. In this chapter results of time dependent problems are obtained using standard computational fluid dynamics code COMSOL Multiphyisics with modifications to account for the magnetic term (e.g. the Kelvin body force and the thermal power) when needed. COMSOL is a powerful interactive environment for equation-based multiphysics modeling and solving all kinds of scientific and engineering problems based on partial differential equations using the finite element method. The governing equations for considered problems are derived from conservation of energy, momentum, heat and magnetic induction equation. The resulting equations depend on the properties of ferrofluid and magnetic field. In this chapter magneto-thermo-mechanical

Finite Element Simulation of Heat Transfer in Ferrofluid