erive the differential equations in terms of the liquid heights h1 and h2.

 

Figure 7.18 shows a liquid-level system in which two tanks have cross-sectional areas A1 and A2, respectively. The volume flow rate into tank 1 is qi. A pump is connected to the bottom of tank 1, and the pressure of the fluid increases by Δwhen crossing the pump. Tank 2 is located higher than tank 1, and the vertical distance between the two tanks is H. The liquid is pumped from tank 1 to tank 2 through a valve of linear resistance R1 and leaves tank 2 through a valve of linear resistance R2. The density ρ of the liquid is constant. Derive the differential equations in terms of the liquid heights h1 and h2. Write the equations in second-order matrix form.

find the cost of your paper

Derive the differential equation relating the liquid height h and the volume flow rate qi at the inlet.

  Consider the single-tank liquid-level system shown in Figure 7.19, where the volume flow rate into the tank through a pipe is qi. The liquid leaves the tank through an orifice….

Derive the differential equations in terms of the liquid heights h1 and h2.

Figure 7.20 shows a hydraulic system of two interconnected tanks that have the same cross-sectional area of A. A pump is connected to tank 1. Assume that the relationship between the….

Determine the heat flow rate through the wall.

Consider heat transfer through an insulated frame wall of a house. The thermal conductivity of the wall is 0.055 W/(m・°C). The wall is 0.15 m thick and has an area….