Mechanical Engineering Exam > Mechanical Engineering Questions > Assertion (A): Stream lines are drawn in the ...
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Assertion (A): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.
Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.
Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.
- 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): Stream lines are drawn in the flow field such thatat a ...
Ans. (d) A streamline in a fluid flow is a line tangent to which at any point is in the direction of velocity at that point at that instant.
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Assertion (A): Stream lines are drawn in the flow field such thatat a ...
Assertion (A): Stream lines are drawn in the flow field such that at a given instant of time, they are perpendicular to the direction of flow at every point in the flow field.
Reason (R): The equation for a stream line in a two-dimensional flow is given by Vx dy - Vy dx = 0.
The assertion states that streamlines in a flow field are perpendicular to the direction of flow at every point. The reason provides the equation for a streamline in a two-dimensional flow.
Explanation:
Streamlines are imaginary lines that represent the path followed by a fluid particle in a flow field. They are drawn such that at any given instant of time, they are tangent to the velocity vector at every point along the streamline.
Streamlines and Flow Direction:
Streamlines are always perpendicular to the velocity vector at each point. This means that the streamline will be parallel to the flow direction. If the streamlines were not perpendicular to the velocity vector, there would be a component of velocity along the streamline, which would indicate a change in flow direction.
Equation of a Streamline:
The equation provided in the reason, Vx dy - Vy dx = 0, represents the equation of a streamline in a two-dimensional flow. Here, Vx and Vy are the components of velocity in the x and y directions, respectively. The equation states that the product of the x component of velocity and the infinitesimal change in y, minus the product of the y component of velocity and the infinitesimal change in x, is zero. This equation satisfies the condition of streamlines being perpendicular to the velocity vector at every point.
Conclusion:
From the explanation above, we can conclude that Assertion (A) is true. Streamlines are indeed drawn in the flow field such that they are perpendicular to the direction of flow at every point in the flow field. However, Reason (R) is false. The equation Vx dy - Vy dx = 0 does not correctly represent the equation for a streamline in a two-dimensional flow. Therefore, the correct answer is option 'D' - A is false but R is true.
Reason (R): The equation for a stream line in a two-dimensional flow is given by Vx dy - Vy dx = 0.
The assertion states that streamlines in a flow field are perpendicular to the direction of flow at every point. The reason provides the equation for a streamline in a two-dimensional flow.
Explanation:
Streamlines are imaginary lines that represent the path followed by a fluid particle in a flow field. They are drawn such that at any given instant of time, they are tangent to the velocity vector at every point along the streamline.
Streamlines and Flow Direction:
Streamlines are always perpendicular to the velocity vector at each point. This means that the streamline will be parallel to the flow direction. If the streamlines were not perpendicular to the velocity vector, there would be a component of velocity along the streamline, which would indicate a change in flow direction.
Equation of a Streamline:
The equation provided in the reason, Vx dy - Vy dx = 0, represents the equation of a streamline in a two-dimensional flow. Here, Vx and Vy are the components of velocity in the x and y directions, respectively. The equation states that the product of the x component of velocity and the infinitesimal change in y, minus the product of the y component of velocity and the infinitesimal change in x, is zero. This equation satisfies the condition of streamlines being perpendicular to the velocity vector at every point.
Conclusion:
From the explanation above, we can conclude that Assertion (A) is true. Streamlines are indeed drawn in the flow field such that they are perpendicular to the direction of flow at every point in the flow field. However, Reason (R) is false. The equation Vx dy - Vy dx = 0 does not correctly represent the equation for a streamline in a two-dimensional flow. Therefore, the correct answer is option 'D' - A is false but R is true.
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Assertion (A): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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): Stream lines are drawn in the flow field such thatat a given instant of time there perpendicular to the direction offlow at every point in the flow field.Reason (R): Equation for a stream line in a two dimensional flowis given by Vx dy – Vy dx = 0.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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