Question

(30pts) Consider the liquid level system shown in the figure. Assume the outflow rate Q (m3/s) through the outflow value is related to the liquid level H by Assume also that, when the inflow rate Qi and outflow rate QOare at Q = 0015m3/s, the liquid level stays at constant H. The capacitance C of the tank is 2m2 Find the steady state value of the liquid level system H. Develop the governing equations for the liquid level system and linearize the governing equations at the steady state point H-H obtained from (a) a. b.

Answer 1

0 Ans; Given that consides the ltguid level eystem hssume the outplous xote a cois) theough the outplouw value ts xelated to the tguid levet H b value is related to Assume also that, ushen the in iow sate sp and outplous xate Oo ase & o oism3is the irguit level shays at constant oase Q=0,015 "The capacHance cof the tank is 2m? as The steady state valu e 약 the irgund level system using given selation at steady state- 60-a Cs| Scanned with CamScanner

he xeguireá steady state value Goveening即uations :- consi des time interva) st By volume balaning weget st Above is the xe guiyed govesming se whese input Plow yate is assumed to be cnoun as a function og time Lineakiging about steady state point we get st 冢: Hence above is the Ipnea governing edabout steady state. Point Scanned with CamScanner