2.2 - Continuity Equation in Differential Form
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Practice Questions
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Define the continuity equation in terms of fluid flow.
💡 Hint: Think about mass conservation.
What is incompressible flow?
💡 Hint: Consider fluids like water.
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Interactive Quizzes
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What does the continuity equation represent?
💡 Hint: Remember the principle of mass in closed systems.
True or False: Incompressible flow means the density changes with the flow.
💡 Hint: Think about common fluids like water.
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Challenge Problems
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A tank has a rectangular base with dimensions 4 m x 3 m and a height of 5 m. Water flows through a pipe from this tank at a rate of 0.5 m³/s. If the pipe diameter changes from 10 cm to 5 cm, calculate the velocity at both sections and discuss how the continuity equation is used.
💡 Hint: Use A = πr² for cross-sectional area calculations.
Design a scenario involving a pipe network used in a municipal water system where the continuity equation needs to be applied to determine pressures and flow rates. Explain your design.
💡 Hint: Focus on where water enters and exits different pipe sizes.
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