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From the following assumption made in the derivation of Bernoulli’s equation is incorrect.
- a)The fluid is ideal
- b)The flow is unsteady
- c)The flow is incompressible
- d)The flow is irrotational
Correct answer is option 'B'. Can you explain this answer?
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From the following assumption made in the derivation of Bernoulli’s e...
Following assumption are made in deriving the Bernoulli’s equation
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1) Flow is steady
2) Fluid is incompressible
3) Fluid is non-viscous (inviscid)
4) Equation is applicable along a streamline
5) Effect of friction is neglected
6) Only pressure and gravity forces are taken into account
7) Velocity is uniform over the cross-section
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From the following assumption made in the derivation of Bernoulli’s e...
Incorrect Assumption in the Derivation of Bernoulli’s Equation:
The assumption that the flow is unsteady is incorrect in the derivation of Bernoulli’s equation.
Explanation:
- Ideal Fluid: The assumption of an ideal fluid is valid in the derivation of Bernoulli’s equation as it simplifies the analysis and is often a good approximation for many fluid flow situations.
- Unsteady Flow: The assumption of unsteady flow implies that the flow parameters vary with time. However, Bernoulli’s equation is derived for steady flow, where the flow parameters do not change with time. Therefore, assuming unsteady flow would lead to inconsistencies in the derivation of Bernoulli’s equation.
- Incompressible Flow: This assumption is valid in the derivation of Bernoulli’s equation as it simplifies the analysis by neglecting changes in fluid density.
- Irrotational Flow: The assumption of irrotational flow means that the fluid particles do not rotate as they move along their paths. This assumption is also valid in the derivation of Bernoulli’s equation as it simplifies the analysis and is often applicable in many fluid flow situations.
In conclusion, the assumption of unsteady flow is incorrect in the derivation of Bernoulli’s equation. It is important to consider the conditions under which the equation is derived to ensure its accuracy and applicability to the given fluid flow situation.
The assumption that the flow is unsteady is incorrect in the derivation of Bernoulli’s equation.
Explanation:
- Ideal Fluid: The assumption of an ideal fluid is valid in the derivation of Bernoulli’s equation as it simplifies the analysis and is often a good approximation for many fluid flow situations.
- Unsteady Flow: The assumption of unsteady flow implies that the flow parameters vary with time. However, Bernoulli’s equation is derived for steady flow, where the flow parameters do not change with time. Therefore, assuming unsteady flow would lead to inconsistencies in the derivation of Bernoulli’s equation.
- Incompressible Flow: This assumption is valid in the derivation of Bernoulli’s equation as it simplifies the analysis by neglecting changes in fluid density.
- Irrotational Flow: The assumption of irrotational flow means that the fluid particles do not rotate as they move along their paths. This assumption is also valid in the derivation of Bernoulli’s equation as it simplifies the analysis and is often applicable in many fluid flow situations.
In conclusion, the assumption of unsteady flow is incorrect in the derivation of Bernoulli’s equation. It is important to consider the conditions under which the equation is derived to ensure its accuracy and applicability to the given fluid flow situation.
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From the following assumption made in the derivation of Bernoulli’s equation is incorrect.a)The fluid is idealb)The flow is unsteadyc)The flow is incompressibled)The flow is irrotationalCorrect answer is option 'B'. Can you explain this answer?
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