A fully developed laminar viscous flow through a circular tube has the...
Ans. (c) Ratio =
for fully developed laminar viscous flow
through a circular tube has value of 2.0
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A fully developed laminar viscous flow through a circular tube has the...
Laminar viscous flow through a circular tube
Laminar viscous flow refers to a type of fluid flow in which the fluid moves smoothly in parallel layers with minimal mixing between them. This type of flow occurs at low velocities and is characterized by a smooth velocity profile.
In the case of laminar viscous flow through a circular tube, the velocity profile is parabolic, with the maximum velocity occurring at the center of the tube and decreasing towards the walls. The average velocity is calculated by integrating the velocity profile over the entire cross-section of the tube.
Ratio of maximum velocity to average velocity
The ratio of maximum velocity to average velocity can be determined by analyzing the velocity profile of laminar viscous flow through a circular tube.
- The maximum velocity occurs at the center of the tube, where the velocity profile is at its peak.
- The average velocity is calculated by dividing the total flow rate by the cross-sectional area of the tube.
Determining the correct answer
To determine the correct answer, we need to analyze the ratio of maximum velocity to average velocity for laminar viscous flow through a circular tube.
- For laminar flow through a circular tube, the ratio of maximum velocity to average velocity is given by the following equation:
Ratio = (2 * maximum velocity) / average velocity
- In the case of a fully developed laminar viscous flow through a circular tube, the velocity profile is fully developed and does not change along the length of the tube.
- For fully developed laminar flow, the maximum velocity occurs at the center of the tube and is twice the average velocity.
- Therefore, the correct answer is option 'C' (2.0), as the ratio of maximum velocity to average velocity is 2.0.
Summary
In summary, for fully developed laminar viscous flow through a circular tube, the ratio of maximum velocity to average velocity is 2.0. This is due to the parabolic velocity profile, where the maximum velocity occurs at the center of the tube and is twice the average velocity.
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