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Finding the water depth of the tank when you want to send out a specific flow rate by drilling a circular hole in the tank

작성자 Uploader : icepack 작성일 Upload Date: 2023-05-18변경일 Update Date: 2023-05-18조회수 View : 82

The flow velocity v2 (m/s) in a hole at depth h (m) is  as follows. (refer to Bernoulli\'s equation)

v2 = Cv*(2*g*h)^(1/2)

Cv: velocity coefficient, g: gravitational acceleration (m/s^2)

When the flow rate is multiplied by the passage area A (m^2), the flow rate q (m^3/s) is obtained.

q = A*v2
  = (π/4)*d^2*Cv*(2*g*h)^(1/2)
  = C*(π/4)*d^2*(2*g*h )^(1/2)

C: flow rate coefficient

Therefore, the water depth of the tank for passing a specific flow rate q (m^3/s) is as follows.

(2*g*h)^(1/2) = 4*q/(π*C*d^2)

h = (8/g)*(q/(π*C*d^2))^2

*** 참고문헌[References] ***
h = (8/g)*(q/(π*C*d^2))^2
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변수명 Variable 변수값 Value 변 수 설 명 Description of the variable


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