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  • One dimensional heat exchanger

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    Heat exchangers are of interest in a multitude of technical applications, such as heaters and air conditioners. Here we consider two fluids passing through parallel tubes which are in contact and exchange sensible heat via the surrounding wall material. We assume that the tubes as well as the common wall are long in comparison to their cross-sectional areas. Thus, we may take averages of all quantities over the cr...
    Tags: advectionheat_conductionheat_exchangermodel_reduction
    Added by Martin on 2011-07-12 15:40


    One dimensional heat exchanger Heat exchangers are of interest in a multitude of technical applications, such as heaters and air conditioners. Here we consider two fluids passing through parallel tubes which are in contact and exchange sensible heat via the surrounding wall material. We assume that the tubes as well as the common wall are long in comparison to their cross-sectional areas. Thus, we may take averages of all quantities over the cross sections. The heat exchange of the two fluids and the common surrounding wall material is modelled as heat transfer within the cross sections. It is assumed to be proportional to the local temperature differencies between the fluids and the common wall and will take place in every cross section separately. The model describes the heat transfer in longitudinal direction as advection along the tubes arising from the fluid velocities and as conduction along the walls of the tubes. Heat conduction in the fluid itself is ignored, since it plays a minor role in most applications. Thus, the model consists of three idealized one dimensional objects transporting and exchanging heat. Two of them describe the heat advection by the fluids and the third describes the conduction in the surrounding rigid material.