8.1.1 - Navier-Stokes Equation part 2
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Practice Questions
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What defines incompressible flow?
💡 Hint: Think about what happens to fluid density under pressure.
State the continuity equation for incompressible flow.
💡 Hint: Recall the definition of divergence in vector calculus.
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Interactive Quizzes
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What is the divergence of the velocity field for incompressible flow?
💡 Hint: Think about the mass flow rate conservation.
Is viscosity a constant factor in Newtonian fluids?
💡 Hint: Consider the definition of Newtonian fluids.
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Challenge Problems
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Given a half-open water pipe with fluid flowing under gravity, derive the relevant fluid dynamics equations related to momentum and viscosity.
💡 Hint: Use boundary conditions based on the flow's gravitational influence on pressure.
Investigate the effect of varying temperature on viscosity in a fluid examined under Navier-Stokes conditions.
💡 Hint: Reflect on the physical properties of fluids concerning temperature changes and their effect on flow.
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