A storage tank is vented to the atmosphere. If a hole develops in the tank, the liquid level hL is given by the following differential equation:
where hL is the liquid level height above the leak, C0 is the constant discharge coefficient (=0.61), A is the cross-sectional area of the leak, At is the cross-sectional area of the tank, and g is the acceleration due to gravity.
Integrate the equation to determine an expression for the liquid level height as a function of time. Assume an initial liquid level above the leak of h_l^0 .
Beklager at jeg ikke faar skrevet stykket inn ved hjelp av latex, men pcen jeg sitter paa naa, er rimelig vanskelig aa ha med aa gjoere.
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