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Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.
Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.
Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.
- a)Both A and R are individually true and R is the correct explanation ofA
- b)Both A and R are individually true but R is not the correct explanationof A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'D'. Can you explain this answer?
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Assertion (A): Streamlines can cross one another if the fluid hashighe...
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Assertion (A): Streamlines can cross one another if the fluid hashighe...
Assertion: Streamlines can cross one another if the fluid has higher velocity.
Reason: At sufficiently high velocity, the Reynolds number is high and at sufficiently high Reynolds numbers, the structure of the flow is turbulent type.
The correct answer is option 'D', which means Assertion is false but Reason is true.
Explanation:
Streamlines and Fluid Velocity:
- Streamlines are imaginary lines drawn in a fluid flow to represent the direction of flow at different points.
- Streamlines are always tangent to the velocity vector at each point in the flow field.
- Streamlines do not cross each other in a steady flow because the velocity vector at any given point represents the unique direction of flow at that point.
- If streamlines were to cross, it would mean that at that particular point, the fluid is flowing in two different directions simultaneously, which is not physically possible.
Reynolds Number and Flow Structure:
- The Reynolds number (Re) is a dimensionless quantity used to predict the flow regime (laminar or turbulent) of a fluid flow.
- It is defined as the ratio of inertial forces to viscous forces and is given by Re = (ρVD)/μ, where ρ is the density of the fluid, V is the velocity, D is the characteristic length scale, and μ is the dynamic viscosity of the fluid.
- At low Reynolds numbers (Re < 2000),="" the="" flow="" is="" typically="" laminar,="" characterized="" by="" smooth="" and="" well-ordered="" />
- At high Reynolds numbers (Re > 4000), the flow is typically turbulent, characterized by chaotic and irregular motion of fluid particles.
- In turbulent flow, the fluid particles mix vigorously, resulting in the crossing of streamlines and the formation of eddies and vortices.
Explanation of the Assertion and Reason:
- The assertion states that streamlines can cross one another if the fluid has a higher velocity.
- This assertion is false because streamlines represent the direction of flow, and they do not cross each other in a steady flow, regardless of the fluid velocity.
- The reason states that at sufficiently high velocities, the Reynolds number is high, and at high Reynolds numbers, the flow structure is turbulent.
- This reason is true because high velocities correspond to high Reynolds numbers, which can lead to the onset of turbulent flow.
- However, the reason does not provide a correct explanation for the assertion since the crossing of streamlines is not dependent on the flow structure being laminar or turbulent.
Conclusion:
- Streamlines do not cross each other in a steady flow, irrespective of the fluid velocity.
- The assertion is false because streamlines cannot cross each other.
- The reason is true because high velocities can lead to turbulent flow, but it does not explain the assertion.
Reason: At sufficiently high velocity, the Reynolds number is high and at sufficiently high Reynolds numbers, the structure of the flow is turbulent type.
The correct answer is option 'D', which means Assertion is false but Reason is true.
Explanation:
Streamlines and Fluid Velocity:
- Streamlines are imaginary lines drawn in a fluid flow to represent the direction of flow at different points.
- Streamlines are always tangent to the velocity vector at each point in the flow field.
- Streamlines do not cross each other in a steady flow because the velocity vector at any given point represents the unique direction of flow at that point.
- If streamlines were to cross, it would mean that at that particular point, the fluid is flowing in two different directions simultaneously, which is not physically possible.
Reynolds Number and Flow Structure:
- The Reynolds number (Re) is a dimensionless quantity used to predict the flow regime (laminar or turbulent) of a fluid flow.
- It is defined as the ratio of inertial forces to viscous forces and is given by Re = (ρVD)/μ, where ρ is the density of the fluid, V is the velocity, D is the characteristic length scale, and μ is the dynamic viscosity of the fluid.
- At low Reynolds numbers (Re < 2000),="" the="" flow="" is="" typically="" laminar,="" characterized="" by="" smooth="" and="" well-ordered="" />
- At high Reynolds numbers (Re > 4000), the flow is typically turbulent, characterized by chaotic and irregular motion of fluid particles.
- In turbulent flow, the fluid particles mix vigorously, resulting in the crossing of streamlines and the formation of eddies and vortices.
Explanation of the Assertion and Reason:
- The assertion states that streamlines can cross one another if the fluid has a higher velocity.
- This assertion is false because streamlines represent the direction of flow, and they do not cross each other in a steady flow, regardless of the fluid velocity.
- The reason states that at sufficiently high velocities, the Reynolds number is high, and at high Reynolds numbers, the flow structure is turbulent.
- This reason is true because high velocities correspond to high Reynolds numbers, which can lead to the onset of turbulent flow.
- However, the reason does not provide a correct explanation for the assertion since the crossing of streamlines is not dependent on the flow structure being laminar or turbulent.
Conclusion:
- Streamlines do not cross each other in a steady flow, irrespective of the fluid velocity.
- The assertion is false because streamlines cannot cross each other.
- The reason is true because high velocities can lead to turbulent flow, but it does not explain the assertion.
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Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?
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Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. 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 Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. 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 Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?.
Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. 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 Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. 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 Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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ample number of questions to practice Assertion (A): Streamlines can cross one another if the fluid hashigher velocity.Reason (R): At sufficiently high velocity, the Reynolds number ishigh and at sufficiently high Reynolds numbers, the structure ofthe flow is turbulent type.a)Both A and R are individually true and R is the correct explanation ofAb)Both A and R are individually true but R is not the correct explanationof Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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