For a laminar flow of a film down an inclined plane, which of the following statements is accurate? A. The velocity is maximum at the mid-section of the film B. The shear stress is maximum at the surface of the solid plane C. The velocity is maximum at the solid surface of the inclined plane D. The shear stress is maximum at the free surface E. The velocity increases as you travel down along the plane.
Question
For a laminar flow of a film down an inclined plane, which of the following statements is accurate? A. The velocity is maximum at the mid-section of the film B. The shear stress is maximum at the surface of the solid plane C. The velocity is maximum at the solid surface of the inclined plane D. The shear stress is maximum at the free surface E. The velocity increases as you travel down along the plane.
Solution
The correct statement is C. The velocity is maximum at the solid surface of the inclined plane.
Here's why:
In a laminar flow of a film down an inclined plane, the velocity profile is parabolic. This means that the velocity is zero at the free surface (where the fluid is in contact with the air) and at the solid surface (where the fluid is in contact with the plane). The velocity is maximum at the mid-section of the film, not at the solid surface.
The shear stress is not maximum at the surface of the solid plane or at the free surface. Instead, it is constant throughout the film.
The velocity does not increase as you travel down along the plane. Instead, it remains constant for a given cross-section of the film.
Therefore, the only accurate statement is C. The velocity is maximum at the solid surface of the inclined plane.
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