18.4 - Examples and Applications
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Practice Questions
Test your understanding with targeted questions
What does the conservation of momentum state?
💡 Hint: Consider forces acting on the system.
What is hydraulic conductivity?
💡 Hint: Think about how water moves through soil.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What principle states that momentum is conserved in a fluid system?
💡 Hint: Think about the implications of momentum in a flowing fluid.
True or False: The Reynolds Transport Theorem is used to evaluate fluid properties in a control volume.
💡 Hint: Recall how we analyze flows within defined volumes.
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Challenge Problems
Push your limits with advanced challenges
A cylindrical tank has an inlet delivering water at varying rates. If the inflow is given by Q(t) = 0.1 + 0.05t (in L/s), and the outlet is set to a constant Q_out of 0.15 L/s, determine the volume of water in the tank after 10 seconds.
💡 Hint: Use integral calculus for inflow and consider permanence of outflow.
Two streams of water flow into a T-joint, with flow rates Q1 = 5 m³/hr from one pipe and Q2 = 3 m³/hr from another. If the design for the output flow must not exceed 7 m³/hr, determine the max output flow rate that ensures momentum conservation is maintained.
💡 Hint: Apply conservation principles while analyzing the combined output.
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