Conformal Mapping for Channel Junction Flow

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Abstract
An analysis of the flow behavior at rectangular channel junctions with combining flow using the conformal mapping technique has been presented. Equations for the location of the stagnation point and the free-streamline for different flow conditions at rectangular channel junctions have been developed. These equations have been solved numerically by using Simpsons rule. It is observed that for each channel junction there is a unique value of discharge ratio corresponding to which the stagnation point coincides with the upstream corner of the junction. The value of the discharge ratio depends on the junction angle as well as on the bed-widths of the channels. It is also indicated that the zone of stagnant fluid between the free-streamline and the channel boundary depends on the junction angle and the location of the stagnation point.

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