8.1.4 - Approximation of Pressure using Taylor Series
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Practice Questions
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What happens to shear stress in a fluid at rest?
💡 Hint: Think about the forces acting on stationary fluid.
Define gauge pressure.
💡 Hint: Consider the pressure difference from atmospheric levels.
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Interactive Quizzes
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What is the primary reason shear stress is zero in a resting fluid?
💡 Hint: Think about the conditions required for shear to occur.
True or False: Gauge pressure is always positive.
💡 Hint: Consider what happens at low pressure levels.
1 more question available
Challenge Problems
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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.
💡 Hint: Remember to sum both pressures to find the absolute pressure.
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.
💡 Hint: Consider how Taylor series expansions function when calculating nearby point values.
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