Practice Approximation Of Pressure Using Taylor Series (8.1.4) - Pressure Field when Fluid is at Rest

Practice: Approximation of Pressure using Taylor Series

Lesson 8.1.4Pressure Field when Fluid is at Rest

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9 questions

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6 sample questions

Question 1.
What happens to shear stress in a fluid at rest?
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Think about the forces acting on stationary fluid.
Question 2.
Define gauge pressure.
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Consider the pressure difference from atmospheric levels.
3Question 3.
What is the primary reason shear stress is zero in a resting fluid?
- It acts parallel to the surface
- It is a function of velocity
- Fluid is not in motion
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Think about the conditions required for shear to occur.
4Question 4.
True or False: Gauge pressure is always positive.
- True
- False
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Consider what happens at low pressure levels.
Question 5.
A fluid at rest has a gauge pressure of 30 kPa at a depth of 2 m. Calculate the absolute pressure considering atmospheric pressure is 101.3 kPa.
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Remember to sum both pressures to find the absolute pressure.
Question 6.
Using the Taylor series, approximate the pressure at a point P(3, 2, 1) knowing P(2, 2, 1) = 100 kPa and the pressure gradient in the x direction is 5 kPa/m.
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Consider how Taylor series expansions function when calculating nearby point values.

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