堰の問題解決

Water flows in a rectangular channel with flow rates between minimum and maximum values. The weir head is set one meter above the channel bottom.

The objective is to measure the flow depth for three types of weirs: rectangular sharp-crested, triangular sharp-crested, and broad-crested under minimum flow rate conditions.

For the rectangular sharp-crested weir, the flow rate depends on the weir coefficient, channel width, gravitational acceleration, and fluid depth.

Setting the weir head to one meter simplifies the equation, and the depth for the minimum flow rate is calculated.

The triangular sharp-crested weir’s flow rate depends on the weir coefficient, gravitational acceleration, fluid depth, and notch angle.

After substituting values, the equation is expressed in terms of depth; for the given minimum flow rate, the depth is calculated.

For the broad-crested weir, the flow rate depends on the weir coefficient, channel width, gravitational acceleration, and fluid depth. With a one-meter weir head, it simplifies to a depth function, determining the minimum flow depth.

Among the weirs discussed, the triangular sharp-crested weir results in the maximum flow depth.