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Calculation of the wetted perimeter by using the water depth in a semi-circular channel

ÀÛ¼ºÀÚ Uploader : a.c.e. ÀÛ¼ºÀÏ Upload Date: 2019-03-10º¯°æÀÏ Update Date: 2019-06-10Á¶È¸¼ö View : 282

When the water depth of the channel with radius R is h, as shown in the figure, the length of the wetted perimeter can be obtained as follows. 

¡à Angle of the sector
   2¥è = 2*arccos((R-h)/R)

¡à Lengh of the arc
   L = (2*arccos((R-h)/R))*(2*¥ð*R)/(2*¥ð)
      = 2*R*arccos((R-h)/R)



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L = 2*R*arccos((R-h)/R)
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