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The flow in which the velocity vector is identical in magnitude and direction at every point, for any given instant, is known as
- a)one dimensional flow
- b)uniform flow
- c)steady flow
- d)turbulent flow
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The flow in which the velocity vector is identical in magnitude and di...
The flow is defined as uniform flow when in the flow field the velocity and other hydrodynamic parameters do not change from point to point at any instant of time. For a uniform flow, there will be no spatial distribution of hydrodynamic and other parameters.
When the velocity and other hydrodynamic parameters changes from one point to another the flow is defined as non-uniform.
A steady flow is defined as a flow in which the various hydrodynamic parameters and fluid properties at any point do not change with time.
One-dimensional flow is the flow where all the flow parameters may be expressed as functions of time and one space coordinate only. The single space coordinate is usually the distance measured along the centre-line (not necessarily straight) in which the fluid is flowing. Example: the flow in a pipe is considered one - dimensional when variations of pressure and velocity occur along the length of the pipe, but any variation over the cross-section is assumed negligible.
Turbulent fluid motion can be considered as an irregular condition of flow in which various quantities (such as velocity components and pressure) show a random variation with time and space.
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The flow in which the velocity vector is identical in magnitude and di...
Understanding Uniform Flow
Uniform flow is a fundamental concept in fluid mechanics, characterized by the consistency of the velocity vector across a flow field. Here’s a detailed explanation:
Definition of Uniform Flow
- In uniform flow, the velocity at every point in the fluid is identical in both magnitude and direction at any given instant.
- This means that if you were to take measurements at various points in the flow, you would find the same velocity value and direction everywhere.
Characteristics of Uniform Flow
- Constant Velocity: The fluid particles move at a constant speed.
- Direction Consistency: The direction of the flow does not change across the entire field.
- Homogeneity: The flow remains uniform regardless of the distance from a reference point, assuming no external influences.
Distinction from Other Flow Types
- Steady Flow: While uniform flow can be steady, not all steady flows are uniform. In a steady flow, the velocity at a point does not change over time, but it may vary from one point to another.
- One Dimensional Flow: This refers to flow in which fluid properties vary only along one spatial dimension, but it does not necessarily imply uniformity.
- Turbulent Flow: Characterized by chaotic changes in pressure and flow velocity, which is the opposite of uniform flow.
Conclusion
Understanding uniform flow is essential in various engineering applications, as it simplifies analysis and design processes in fluid mechanics. It plays a critical role in ensuring efficient transport and control in fluid systems.
Uniform flow is a fundamental concept in fluid mechanics, characterized by the consistency of the velocity vector across a flow field. Here’s a detailed explanation:
Definition of Uniform Flow
- In uniform flow, the velocity at every point in the fluid is identical in both magnitude and direction at any given instant.
- This means that if you were to take measurements at various points in the flow, you would find the same velocity value and direction everywhere.
Characteristics of Uniform Flow
- Constant Velocity: The fluid particles move at a constant speed.
- Direction Consistency: The direction of the flow does not change across the entire field.
- Homogeneity: The flow remains uniform regardless of the distance from a reference point, assuming no external influences.
Distinction from Other Flow Types
- Steady Flow: While uniform flow can be steady, not all steady flows are uniform. In a steady flow, the velocity at a point does not change over time, but it may vary from one point to another.
- One Dimensional Flow: This refers to flow in which fluid properties vary only along one spatial dimension, but it does not necessarily imply uniformity.
- Turbulent Flow: Characterized by chaotic changes in pressure and flow velocity, which is the opposite of uniform flow.
Conclusion
Understanding uniform flow is essential in various engineering applications, as it simplifies analysis and design processes in fluid mechanics. It plays a critical role in ensuring efficient transport and control in fluid systems.
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The flow in which the velocity vector is identical in magnitude and direction at every point, for any given instant, is known asa)one dimensional flowb)uniform flowc)steady flowd)turbulent flowCorrect answer is option 'B'. Can you explain this answer?
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