4.1.4 - Taylor Series Applications
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Practice Questions
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Define mass conservation.
💡 Hint: Think about the law of conservation in physics.
What is a control volume?
💡 Hint: Consider the volume through which fluid flows.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the mass conservation equation express?
💡 Hint: Think about how mass interacts in a closed system.
True or False: In incompressible flow, changes in density can occur.
💡 Hint: Consider what incompressible means.
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Challenge Problems
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A control volume of fluid experiences inflow at a rate of 5 kg/s and outflow at 3 kg/s. If the initial mass in the control volume is 10 kg, what is the new mass after 5 seconds?
💡 Hint: Identify inflow and outflow rates correctly before calculating.
Explain how changes in pressure affect compressible fluid flow and derive a modified mass conservation equation considering variable density.
💡 Hint: Recall how the ideal gas law connects pressure and density.
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