2.3 - Deriving Reynolds Transport Theorem
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Practice Questions
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What is an extensive property?
💡 Hint: Think of properties that change with mass.
Give an example of an intensive property.
💡 Hint: Consider properties that remain constant irrespective of mass.
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Interactive Quizzes
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What defines an extensive property in fluid mechanics?
💡 Hint: Think about properties that change when more fluid is added.
The Reynolds Transport Theorem is crucial for analyzing which of the following?
💡 Hint: Recall its significance in various fluid dynamics scenarios.
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Challenge Problems
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A control volume is defined within a pipe. The fluid density is 1000 kg/m^3. If the pipe has two inlets and one outlet, with inlets having cross-sectional areas of 0.02 m^2 and 0.01 m^2 respectively, calculate the total inflow rate if the velocities are 2 m/s and 3 m/s. What is the total outflow rate if the outlet area is 0.03 m^2 with a velocity of 2 m/s?
💡 Hint: Apply the equation for flow rate which is mass flow rate = density × area × velocity.
Derive the complete expression for an extensive property transported across a surface with changing velocity and density. Discuss implications.
💡 Hint: Focus on integration of the flux over your defined surfaces.
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