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Three tanks filled with water connected in series were shown above. The cross-sectional areas of all the tanks (A) are constant and equal to each

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Three tanks filled with water connected in series were shown above. The cross-sectional areas of all the tanks (A) are constant and equal to each other. The flow rate of each valve is a function of the water level in the tank. The flow rate of the first valve (F1) is proportional to the difference between the water levels in Tank 1 and Tank 2 (see below). Initially, Tank 1 and Tank 3 are completely full (h=h1). Beside of this, Tank 2 is completely empty. Find the water level value for each tank at steady state. (A=5m2;F0=5m3/hr;R1=2hr/m2;R2=1hr/m2;R3=1hr/m2) F1=R1h1h2F2=R2h2h3F3=R3h3Ri:constants

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