Dynamical Researches of Frontal Zone belonging to a Stationary Anticyclone (Part I)

Abstract

We discussed the motion of air in the neighbourhood of frontal zone as the motion of a laminar boundary layer, and we treated the frontal zone as a jumped phenomena of the boundary layer, thus we gain the equation of motion in cylindrical co-ordinates of follows; and also the equation of continuity is thus, from these relations, we induced the formula of dh/dr, where h is the depth of laminar boundary layer. Therefore, dh/dt is defferent for each case of the assumption of velocity distribution in the boundary layer. Then the formula of dh/dt will be as follows: from this relation, we trace the stream line of the laminar flow, by the method of isoclination line.
Moreover, in case of the velocity distribution whose gradient of the stream line is linear, we can solve the motion of air by means of the Weieretras's elliptic function _??_(z), and the total mass of flow is