In the last few decades the high (hyperthermia) and low (hypothermia) temperature have become very important medical treatment in treating civilisation diseases like cancer or cardiovascular diseases. However, in order to increase effectiveness of the therapy and decrease its negative influence on the whole organism and affected tissues, it is necessary to have reliable and robust mathematical model to be able to predict fluid flow and temperature field in tissues. The most commonly used mathematical model which is used to describe heat transfer in tissues if the Penne’s bioheat equation. Although widely used this model suffers from a number of simplifying assumptions: - neglecting heat transfer between big blood vessels and surrounding tissue, - neglecting shape of blood vessels, - isotropic flow of blood in capillary vessels, - temperature of blood entering capillary vessels equals to deep body temperature and temperature of blood exiting capillary vessels equals to tissue temperature, - neglecting of countercurrent blood flow in veins and arteries. In this paper mathematical model which does not have some of listed shortcomings was proposed. This model is based on the multifluid approach to heat and mass transfer connected with direct modelling of the big blood vessels. In the proposed approach three phases are considered fluid phase comprising vein blood, fluid phase comprising artery blood and porous medium which models tissue. This methodology was applied to model heat and mass transfer in a simplified forearm geometry. Obtained results were compared with those obtained with Penne’s model.