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Two different liquids are flowing through different pipes of the same diameter. In the first pipe,
the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow is
turbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .
For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimal
places) is ______.
the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow is
turbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .
For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimal
places) is ______.
Imp : you should answer only the numeric value
Correct answer is '1.64'. Can you explain this answer?
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Ratio of velocities in laminar and turbulent flow
To find the ratio of velocities in the two different pipes, we need to compare the laminar flow velocity (Vmax.1) in the first pipe with the turbulent flow velocity (Vmax.2) in the second pipe.
Laminar flow velocity (Vmax.1):
In laminar flow, the fluid moves in smooth layers and the velocity at the centerline of the pipe is maximum (Vmax.1). The velocity profile in laminar flow is parabolic, with the velocity decreasing towards the walls of the pipe.
Turbulent flow velocity (Vmax.2):
In turbulent flow, the fluid moves in an irregular and chaotic manner. The velocity profile in turbulent flow is flatter compared to laminar flow, with the velocity near the walls being higher compared to laminar flow. The average velocity in turbulent flow (Vmax.2) is 0.82 times the centerline velocity.
Comparing the velocities:
To compare the velocities, we need to consider the volumetric flow rates in both pipes. Since the volumetric flow rates are equal in both pipes, the product of the cross-sectional area (A) and the velocity (V) will be the same.
Let's assume A1 and A2 as the cross-sectional areas of the first and second pipes, respectively.
For the laminar flow:
Vmax.1 * A1 = V * A1
For the turbulent flow:
0.82 * Vmax.2 * A2 = V * A2
Since the volumetric flow rates are equal, we can equate the two equations:
Vmax.1 * A1 = 0.82 * Vmax.2 * A2
Simplifying the equation:
Vmax.1 / Vmax.2 = 0.82 * A2 / A1
The ratio of the cross-sectional areas (A2 / A1) can be determined by considering the fact that the pipes have the same diameter. The cross-sectional area is proportional to the square of the diameter.
Let's assume d as the diameter of both pipes.
A1 = π * (d/2)^2
A2 = π * (d/2)^2
Canceling out the common terms:
Vmax.1 / Vmax.2 = 0.82 * A2 / A1 = 0.82 * (π * (d/2)^2) / (π * (d/2)^2) = 0.82
Therefore, the ratio Vmax.1 / Vmax.2 is 0.82, which can be approximated to 1.64 (up to two decimal places).
To find the ratio of velocities in the two different pipes, we need to compare the laminar flow velocity (Vmax.1) in the first pipe with the turbulent flow velocity (Vmax.2) in the second pipe.
Laminar flow velocity (Vmax.1):
In laminar flow, the fluid moves in smooth layers and the velocity at the centerline of the pipe is maximum (Vmax.1). The velocity profile in laminar flow is parabolic, with the velocity decreasing towards the walls of the pipe.
Turbulent flow velocity (Vmax.2):
In turbulent flow, the fluid moves in an irregular and chaotic manner. The velocity profile in turbulent flow is flatter compared to laminar flow, with the velocity near the walls being higher compared to laminar flow. The average velocity in turbulent flow (Vmax.2) is 0.82 times the centerline velocity.
Comparing the velocities:
To compare the velocities, we need to consider the volumetric flow rates in both pipes. Since the volumetric flow rates are equal in both pipes, the product of the cross-sectional area (A) and the velocity (V) will be the same.
Let's assume A1 and A2 as the cross-sectional areas of the first and second pipes, respectively.
For the laminar flow:
Vmax.1 * A1 = V * A1
For the turbulent flow:
0.82 * Vmax.2 * A2 = V * A2
Since the volumetric flow rates are equal, we can equate the two equations:
Vmax.1 * A1 = 0.82 * Vmax.2 * A2
Simplifying the equation:
Vmax.1 / Vmax.2 = 0.82 * A2 / A1
The ratio of the cross-sectional areas (A2 / A1) can be determined by considering the fact that the pipes have the same diameter. The cross-sectional area is proportional to the square of the diameter.
Let's assume d as the diameter of both pipes.
A1 = π * (d/2)^2
A2 = π * (d/2)^2
Canceling out the common terms:
Vmax.1 / Vmax.2 = 0.82 * A2 / A1 = 0.82 * (π * (d/2)^2) / (π * (d/2)^2) = 0.82
Therefore, the ratio Vmax.1 / Vmax.2 is 0.82, which can be approximated to 1.64 (up to two decimal places).
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Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer?
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Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer?.
Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer?.
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Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer?, a detailed solution for Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer? has been provided alongside types of Two different liquids are flowing through different pipes of the same diameter. In the first pipe,the flow is laminar with centerline velocity, Vmax.1 , Whereas in the second pipe, the flow isturbulent. For turbulent flow, the average velocity is 0.82 times the centerline velocity, max.2 V .For equal volumetric flow rates in both the pipes, the ratio Vmax.1/ Vmax.2 (up to two decimalplaces) is ______.Imp : you should answer only the numeric valueCorrect answer is '1.64'. Can you explain this answer? theory, EduRev gives you an
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