With the Ekman momentum approximation, the four important pseudo-conservation relations in the boundary layer dynamics are derived. In order to simplify the problem, the so-called Ekman coordinates is introduced. The motion in Ekman coordinates is classical Ekman flow. However, the solution in Ekman coordinates should be converted into the physical coordinates. In this paper, an approximation transformation is used to discuss the inuflence of the turbulence friction on the baroclinic wave of Eady type and frontogenesis. The results show that, on one hand, Ekman momentum flow implicates the ageostrophic component which enhances frontogenesis in the boundary layer, on the other hand, it implies the turbulence friction which weakens the frontogenesis in the boundary layer. The critical time of the discontinuity occurring in the boundary layer is longer than that in the free atmosphere. Ekman momentum flow is dualistic.
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