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A tank contains water (20°C) at an initial depth y0 = 1 m. The tank diameter is D = 250 mm and a tube of diameter d = 3 mm and length L = 4 m is attached to the bottom of the tank. For laminar flow a reasonable model for the water level over time is
Using Euler methods with time steps of 12 min and 6 min:
- (a) Estimate the water depth after 120 min, and compute the errors compared to the exact solution
- (b) Plot the Euler and exact results.
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Fox and McDonald's Introduction to Fluid Mechanics
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