Practice Final Version Of Navier–stokes Equation (3.2)

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What condition leads to zero viscous stress in fluids?
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Think about conditions when motion ceases.
Question 2.
What does the Kronecker delta function represent?
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Remember how the delta function behaves.
3Question 3.
What happens to shear stresses when a fluid is at rest?
- True
- False
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Think about the properties of fluids at rest.
4Question 4.
The relationship between τ_ij and ϵ_ij for Newtonian fluids is non-linear.
- True
- False
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Recall what type of flow we are discussing.
Question 5.
Derive the hydrostatic pressure equation p = ρgz from the basic principles of fluid mechanics, detailing each step.
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You may need to consider the equilibrium of forces on a fluid element.
Question 6.
Given a fluid with known viscosity, derive how to calculate the flow across parallel plates using the Navier-Stokes formulation.
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Use the relationship between shear stress and strain rates to bridge the link to flow rates.

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