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Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equation
- a)Can be used anywhere
- b)Can be used only outside the boundary layer
- c)Can be used only inside the boundary layer
- d)Cannot be used either inside or outside the boundary layer
Correct answer is option 'B'. Can you explain this answer?
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Boundary Layer Equations and Bernoulli's Equation
Boundary layer equations are used to calculate the velocity and boundary layer thickness of a fluid flow near a surface. Bernoulli's equation, on the other hand, is a fundamental equation in fluid mechanics that relates pressure, velocity, and elevation in a fluid.
Where can Bernoulli's equation be used while using boundary layer equations?
Bernoulli's equation can be used only outside the boundary layer while using boundary layer equations. This is because the Bernoulli's equation assumes that the flow is steady and inviscid, which means that there is no viscous drag acting on the fluid. However, the boundary layer equations take into account the effects of viscosity on the flow, particularly near the surface.
Why can't Bernoulli's equation be used inside or outside the boundary layer?
Bernoulli's equation cannot be used inside the boundary layer because the flow is no longer inviscid and the effects of viscosity cannot be neglected. Inside the boundary layer, there is a thin layer of fluid in which the velocity increases rapidly from zero at the surface to the free stream velocity. This means that there is a large velocity gradient inside the boundary layer, which leads to viscous forces that cannot be ignored.
Similarly, Bernoulli's equation cannot be used outside the boundary layer because it assumes that the flow is two-dimensional and incompressible, which is not always the case. The boundary layer equations take into account the effects of three-dimensional and compressible flows that occur outside the boundary layer.
Conclusion
In conclusion, while using boundary layer equations, Bernoulli's equation can be used only outside the boundary layer. Inside the boundary layer, the effects of viscosity cannot be neglected, and outside the boundary layer, the assumptions of Bernoulli's equation may not hold. Therefore, it is important to use the appropriate equations and assumptions depending on the location and characteristics of the fluid flow.
Boundary layer equations are used to calculate the velocity and boundary layer thickness of a fluid flow near a surface. Bernoulli's equation, on the other hand, is a fundamental equation in fluid mechanics that relates pressure, velocity, and elevation in a fluid.
Where can Bernoulli's equation be used while using boundary layer equations?
Bernoulli's equation can be used only outside the boundary layer while using boundary layer equations. This is because the Bernoulli's equation assumes that the flow is steady and inviscid, which means that there is no viscous drag acting on the fluid. However, the boundary layer equations take into account the effects of viscosity on the flow, particularly near the surface.
Why can't Bernoulli's equation be used inside or outside the boundary layer?
Bernoulli's equation cannot be used inside the boundary layer because the flow is no longer inviscid and the effects of viscosity cannot be neglected. Inside the boundary layer, there is a thin layer of fluid in which the velocity increases rapidly from zero at the surface to the free stream velocity. This means that there is a large velocity gradient inside the boundary layer, which leads to viscous forces that cannot be ignored.
Similarly, Bernoulli's equation cannot be used outside the boundary layer because it assumes that the flow is two-dimensional and incompressible, which is not always the case. The boundary layer equations take into account the effects of three-dimensional and compressible flows that occur outside the boundary layer.
Conclusion
In conclusion, while using boundary layer equations, Bernoulli's equation can be used only outside the boundary layer. Inside the boundary layer, the effects of viscosity cannot be neglected, and outside the boundary layer, the assumptions of Bernoulli's equation may not hold. Therefore, it is important to use the appropriate equations and assumptions depending on the location and characteristics of the fluid flow.
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Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer?
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Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer?.
Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer?.
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Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which one of the following statements is correct? While using boundarylayer equations, Bernoulli’s equationa)Can be used anywhereb)Can be used only outside the boundary layerc)Can be used only inside the boundary layerd)Cannot be used either inside or outside the boundary layerCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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