Question: Mathematical Modeling for a spherical tank Consider the hydraulic system in the figure. Develop a model for this system that can be used to find

Mathematical Modeling for a spherical tank Consider the hydraulic system in

Mathematical Modeling for a spherical tank Consider the hydraulic system in the figure. Develop a model for this system that can be used to find H 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 F1 is the input to the system. Obtain the nonlinear equations that describe the behaviour of the system how the level of the tank changes by time

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