Question-1: In the system shown in figure, fluid is pumped into a tank through a long pipe. The tank discharges to atmospheric pressure through a partially open valve. Viscous damping is assumed to be at the bearings. Fluid system elements/parameters are described as follows: : Ps(t) Rp : Lp CE RI : : Pressure source is represented by the pump) Energy dissipation element for the long pipe Energy storage element related with the motion of the fluid in the long pipe Energy storage element-Fluid Capacitance (is represented by the tank) Energy dissipation element-Fluid Resistance (is represented by the valve) : Tank Cg Ps(t) Long pipe Roshe Valve Pump IR Q. Palm Fluid reservoir The model is formed to study the dynamic response of the flow through the outlet valve (Q. is the system output) in response to changes in the pressure generated by the pump (Ps(t) is the system input). For the given system, a) Firstly, draw necessary free-body diagrams (FBD's) for the system. Then, write all elemental equations according to the given elements in the figure. [ Note: Please pay attention to the positive and negative signs that indicate the direction.] b) Write out all structural equations. [Continuity Equations: Force equilibrium, Conservation of mass] c) Obtain the equation of motion (EOM) for the system in terms of input & output parameters (i.e. standard differential eqn. form) using and combining Elemental & Structural Eqn's. Question-1: In the system shown in figure, fluid is pumped into a tank through a long pipe. The tank discharges to atmospheric pressure through a partially open valve. Viscous damping is assumed to be at the bearings. Fluid system elements/parameters are described as follows: : Ps(t) Rp : Lp CE RI : : Pressure source is represented by the pump) Energy dissipation element for the long pipe Energy storage element related with the motion of the fluid in the long pipe Energy storage element-Fluid Capacitance (is represented by the tank) Energy dissipation element-Fluid Resistance (is represented by the valve) : Tank Cg Ps(t) Long pipe Roshe Valve Pump IR Q. Palm Fluid reservoir The model is formed to study the dynamic response of the flow through the outlet valve (Q. is the system output) in response to changes in the pressure generated by the pump (Ps(t) is the system input). For the given system, a) Firstly, draw necessary free-body diagrams (FBD's) for the system. Then, write all elemental equations according to the given elements in the figure. [ Note: Please pay attention to the positive and negative signs that indicate the direction.] b) Write out all structural equations. [Continuity Equations: Force equilibrium, Conservation of mass] c) Obtain the equation of motion (EOM) for the system in terms of input & output parameters (i.e. standard differential eqn. form) using and combining Elemental & Structural Eqn's