Computer Engineering paper on Numerical Methods Differential Equations
See attached file for full problem description.
On the first test we looked at a cooling tank for a radioisotope test facility. From Geometry and calculus we can determine that the relationship between the volume of the heavy water (m^3) and the height of the water (m) in the storage tank is given by the following equation:
V = pi . h^2 . ((3R – h) / 3) – equation 3
Additionally, the outflow of water Q (m^3/s) is given by
Q = CA (square root 2gh) – equation 4
where A is the exit area of the water outflow (use d = 0.05m to calculate A), h is the height of the water, g is the gravitational constant (9.81 m/s^2), and C is a coefficient = 0.63.
