8.2.2 - Simplifications for analytical solutions
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Practice Questions
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What does the term 'incompressible flow' refer to?
💡 Hint: Think about fluids that do not experience volume changes.
Name one assumption made when working with Navier-Stokes equations.
💡 Hint: Consider how viscosity behaves in different fluids.
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Interactive Quizzes
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What is the primary assumption made for incompressible fluids?
💡 Hint: Think about the conditions when liquid flows.
True or False: Euler’s equations only apply to scenarios where viscosity is significant.
💡 Hint: Consider when you can ignore viscous forces.
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Challenge Problems
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Given a fluid flowing through a horizontal pipe with varying diameters, describe how you would apply the Navier-Stokes equations and under which conditions you might simplify them.
💡 Hint: Focus on where flow behavior changes significantly.
Explain the process of deriving Bernoulli's equation from the Navier-Stokes equations using specific assumptions.
💡 Hint: Consider what conditions allow for integration along streamlines.
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