A Simple Treatment on the Geometry of Raceway Zone

抄録

The geometry of a raceway zone can be described by its volume, depth, height and width. This paper investigates these factors theoretically based on a simplified raceway shape model.
The results obtained are as follows;
(1) The raceway volume, V_R is closely described by the product of depth, D_R, height, H_R and width, W_R.
V_R=0.53D_RH_RW_R
(2) The power law is applicable to the relation between the penetration factor (depth divided by tuyere diameter, D_T) and the raceway factor, RF.
D_R/D_T=0.315RF^0.587
(3) The dimensionless width is related to the penetration factor.
W_R/D_T=2.631(D_R/D_T)^0.331
(4) The height is obtainable from the depth, the width and the tuyere diameter.
(4H²_R+D²_R)W_R/(H_RD²_T)=23.1(D_R/D_T) ^1.052
The trends of the derived results are compared with data reported by various researchers with reasonable agreement.