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Chapter 13: Problem 9

Which of the following assumptions is not made in the derivation of Bernoulli's Equation? a) Streamlines do not cross. c) There is negligible friction. b) There is negligible d) There is no turbulence. viscosity. e) There is negligible gravity.

Short Answer

Expert verified
a) Streamlines do not cross b) There is negligible c) There is negligible friction d) There is no turbulence e) There is negligible gravity Answer: e) There is negligible gravity

Step by step solution

01

Recall Bernoulli's Equation assumptions

Bernoulli's equation is derived for an ideal fluid, and it is based on several key assumptions: 1. The fluid is incompressible. 2. The fluid is non-viscous (negligible viscosity). 3. The flow is steady. 4. The flow is along a streamline. 5. There is no friction. 6. There is no heat transfer.
02

Compare the given options with the actual assumptions

Now that we have listed the assumptions made for the derivation of Bernoulli's Equation, let's compare them with the given options: a) Streamlines do not cross - True, as the flow is along a streamline, and streamlines by definition do not cross each other. c) There is negligible friction - True, as one of the assumptions considers a frictionless fluid flow. b) There is negligible - This seems incomplete and requires more clarification to know whether it is true or false. d) There is no turbulence - True, as the flow is assumed to be steady, meaning there is no turbulence. e) There is negligible gravity - False, as gravity is not disregarded in Bernoulli's Equation.
03

Determine the incorrect assumption

Based on our comparison of the actual assumptions and the given options, we can determine that option e) There is negligible gravity is the assumption that is not made in the derivation of Bernoulli's Equation.

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