The equation describing the water height h in a spherical tank with a drain at the bottom is

 

Suppose that the tank’s radius is r = 3 m and the circular drain hole of area A has a radius of 2 cm. Assume that C_d = 0.5 and that the initial water height is h(0) = 5 m. Use g ! 9.81 m/s². Use Simulink to solve the nonlinear equation, and plot the water height as a function of time until h(t) = 0.

Transcribed Image Text:

dh T (2rh – h)- = -CaA V2gh dt |