Study on conjugate heat transfer by vectorial dimensional analysis

Heat transfer in a system where two phases are conjugated is discussed from a somewhat general viewpoint using vectorial dimensional analysis which distinguishes the dimensions of length by phases as well as by spatial directions. As a result, the following conclusions are derived: (1) To grasp conjugate heat transfer in a unified way, it is necessary to define new dimensionless groups which include conventional dimensionless groups defined in both phases. (2) In unsteady conjugate heat transfer there exists a new dimensionless group which represents an effect of the combination of physical properties of both phases.