A system consists of two tanks in series in which the ou
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A system consists of two tanks in series in which the outflow from the first tank is the inflow to the second tank as sh
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A system consists of two tanks in series in which the outflow from the first tank is the inflow to the second tank as shown in Figure E1.1: (a) Find the algebraic and differential equations that form the mathematical model of the twotank system. Assume both tanks are linear, that is, the outflows are proportional to the liquid levels, and R1 and R2 are the fluid resistances of the tanks. (b) Eliminate the flows F0(t) and F2(t) from the model to obtain a model in the form of two differential equations involving the system input F1(t) and the tank levels H1(t) and H2(t). (c) Obtain the model differential equations when F0(t) and F2(t) are present instead of H1(t) and H2(t). (d) The initial fluid levels in the tanks are H1(0) and H2(0). Suppose that the flow into the first tank is constant, F1(t)
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