Identify the assumptions made for the Bernoulli equation applicable in fluid mechanics. (Check all that apply.)Group of answer choicesAlong a streamlineSteady flowIncompressible flowConstant velocity
Question
Identify the assumptions made for the Bernoulli equation applicable in fluid mechanics. (Check all that apply.)Group of answer choicesAlong a streamlineSteady flowIncompressible flowConstant velocity
Solution
The Bernoulli equation in fluid mechanics is based on several assumptions. These include:
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Along a streamline: This assumption means that the flow of the fluid is along a streamline, or a path that a tiny parcel of fluid would follow as it moves. This is also known as the pathline.
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Steady flow: This assumption implies that the fluid properties at any point in the system do not change over time. In other words, the flow is steady and not pulsating or oscillating.
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Incompressible flow: This assumption means that the density of the fluid is constant. In reality, most fluids are compressible to some extent, but the Bernoulli equation assumes that the fluid is incompressible for simplicity.
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The Bernoulli equation does not assume constant velocity. Instead, it relates the pressure, velocity, and potential energy of a fluid along a streamline. The velocity can change along the streamline, and the Bernoulli equation accounts for this.
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