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Integral

Posted: 07/10-2009 23:43
by sprettfinn
Hei, sitter og koser meg med fluidmekanikk naa, release modelling, og sliter litt med et stykke jeg skal integrere. Noen som kan hjelpe meg litt paa vei her?

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:

Image

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.

Takk for alle svar!