12.3.3 - Non-dimensionalization and Order of Magnitude Analysis
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Practice Questions
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What is non-dimensionalization?
💡 Hint: Think about simplifying equations for comparison.
Define Reynolds Number.
💡 Hint: It determines flow characteristics.
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Interactive Quizzes
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What does the Reynolds number indicate?
💡 Hint: Remember, it compares inertial and viscous forces.
True or False: Non-dimensionalization always results in the same type of equation regardless of system size.
💡 Hint: Think about the importance of dimensionless forms.
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Challenge Problems
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Given a scenario where a fluid flows over a flat plate with a known viscosity and velocity, calculate the Reynolds number and predict whether the flow is laminar or turbulent. Use a flaw assumption of a plate length.
💡 Hint: Use typical values for density and viscosity if not provided.
Analyze a flow situation applying non-dimensionalization to the Navier-Stokes equations. Identify terms to retain and eliminate based on their order of magnitude.
💡 Hint: Consider simplifying terms as much as possible, focus on key driving forces in flow.
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