Extension of Ergun Equation to Two Dimensional Flow in Packed Beds

Abstract

Two kinds of the extension of Ergun equation hitherto used to two dimensional flow system; grad P=-(f₁+f₂|_u|) _u (type I) and ∂P/∂x=-(f₁+f₂|u_x|) u_x, ∂P/∂y=-(f₁+f₂|u_y|) u_y (type II), were critically examined on their transformability of the coordinate system, their consistency in the direction along a streamline with one dimensional Ergun equation and orthogonality between isobars and streamlines.
Conclusively, the expanded type I of Ergun equation must be applied to two demensional flow system of the packed beds.