Pre Lab Q1 A Set Of Equations Governing The Performance Of A Tank System With A Linear Outlet Valve Characteristic A 1 (76.51 KiB) Viewed 39 times
Pre Lab Q1 A Set Of Equations Governing The Performance Of A Tank System With A Linear Outlet Valve Characteristic A 2 (10.24 KiB) Viewed 39 times
Pre-Lab Q1: A set of equations governing the performance of a tank system, with a linear outlet valve characteristic, (assuming laminar flow), are provided below: dv dt qi - 90 Eqn. 1 Eqn. 2 pgh V = Ah A C= pg 90 = Eqn. 3 Eqn. 4 R From these equations: a) In the space provided, derive an ODE to describe the system behaviour in the form of: dh 1+h= kqi Eqn. 5 dt Where: 1 and k are expressed in in terms of the variables: A, C, and R. (Hint: substitute Eqn. 2 into Eqn. 1, and then substitute in Eqn. 3, etc. Rearrange the resulting equation into the form of Eqn. 5.)
b) Write down the equations for t, and k: T= k =
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