In the present work, an indirect measurement method of solidified layer thickness of flowing fluid in a vertical channel from a reservoir has been developed.
It is a two step measurement method ; The transient frozen - layer thickness as a function of time and axial position can be obtained by, first, measuring the transient outside wall temperature of the channel and the radial position of the interface between the solidified - layer and the flowing fluid in the channel is then evaluated from the following relationship ;
$R=\mbox{R_Oe}^-\frac{K_s(T_f-T_w}{he;R_O(T_w-T_∞)}$
Thus, in order to find the solidified-layer thickness at a certain time and at a certain axial position of the channel, one needs the temperature of the outside wall of the channel and an analytical formula that relates the solidified - layer thickness to the wall temperature and other important parameters of the flowing and solidifying system.
Experimental data are obtained for various initial conditions and compared with the results obtained by the present measurement method. In general, there is about 20-25 percent difference between the experimentally obtained data and the values determined by the present method.
