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For a real fluid moving with uniform velocity, the pressure
- a)depends upon depth and orientation
- b)is independent of depth but depends upon orientation
- c)is independent of orientation but depends upon depth
- d)is independent of both depth and orientation
Correct answer is option 'A'. Can you explain this answer?
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For a real fluid moving with uniform velocity, the pressurea)depends u...
(d) In case of a real fluid moving with uniform velocity, the velocity head and pressure head are dependent on each other and their total sum remains constant. The pressure is thus independent of both depth and orientation, but in case of fluids under static condition, the pressure would depend on depth.
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For a real fluid moving with uniform velocity, the pressurea)depends u...
Explanation:
When a real fluid is in motion with a uniform velocity, the pressure distribution within the fluid is not uniform. It varies with depth and orientation. This can be explained by considering the forces acting on a fluid element.
Pressure Variation with Depth:
When a fluid is at rest, the pressure at any point within the fluid is the same in all directions. However, when the fluid is in motion, the pressure varies with depth. This is due to the weight of the fluid above it. The pressure at a greater depth is higher because there is more fluid above it exerting a greater force.
Pressure Variation with Orientation:
In addition to the pressure variation with depth, the pressure also varies with orientation. This can be understood by considering the forces acting on a fluid element. When a fluid is in motion, there are two types of forces acting on it - pressure forces and viscous forces.
Pressure Forces:
Pressure forces arise due to the variation in pressure within the fluid. These forces act perpendicular to the surface of the fluid element. Since the pressure varies with depth, the pressure forces will also vary with depth.
Viscous Forces:
Viscous forces arise due to the internal friction within the fluid. These forces act parallel to the surface of the fluid element. Viscous forces do not depend on depth but depend on the orientation of the fluid element.
Combined Effect:
The combined effect of pressure and viscous forces results in a non-uniform pressure distribution within the fluid. The pressure is higher at greater depths and varies with orientation due to the viscous forces.
Therefore, for a real fluid moving with uniform velocity, the pressure depends upon both the depth and orientation. This is why the correct answer is option 'A' - the pressure depends upon depth and orientation.
When a real fluid is in motion with a uniform velocity, the pressure distribution within the fluid is not uniform. It varies with depth and orientation. This can be explained by considering the forces acting on a fluid element.
Pressure Variation with Depth:
When a fluid is at rest, the pressure at any point within the fluid is the same in all directions. However, when the fluid is in motion, the pressure varies with depth. This is due to the weight of the fluid above it. The pressure at a greater depth is higher because there is more fluid above it exerting a greater force.
Pressure Variation with Orientation:
In addition to the pressure variation with depth, the pressure also varies with orientation. This can be understood by considering the forces acting on a fluid element. When a fluid is in motion, there are two types of forces acting on it - pressure forces and viscous forces.
Pressure Forces:
Pressure forces arise due to the variation in pressure within the fluid. These forces act perpendicular to the surface of the fluid element. Since the pressure varies with depth, the pressure forces will also vary with depth.
Viscous Forces:
Viscous forces arise due to the internal friction within the fluid. These forces act parallel to the surface of the fluid element. Viscous forces do not depend on depth but depend on the orientation of the fluid element.
Combined Effect:
The combined effect of pressure and viscous forces results in a non-uniform pressure distribution within the fluid. The pressure is higher at greater depths and varies with orientation due to the viscous forces.
Therefore, for a real fluid moving with uniform velocity, the pressure depends upon both the depth and orientation. This is why the correct answer is option 'A' - the pressure depends upon depth and orientation.
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For a real fluid moving with uniform velocity, the pressurea)depends upon depth and orientationb)is independent of depth but depends upon orientationc)is independent of orientation but depends upon depthd)is independent of both depth and orientationCorrect answer is option 'A'. Can you explain this answer?
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