Consider the hydraulic system in fig. 3. Develop a model for this system that can be used to find…

Consider the hydraulic system in fig. 3. Develop a model for this system that can be used to find H1 and H2 as functions of time for any given variations in inputs.Note that the cross section of the spherical tank varies with the level of its liquid, that is, its hydraulic capacitance is not constant. Flow u is the input to the system. Obtain the nonlinear equations that describe the behaviour of the system.

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