Problem 6.2 The gap between a moving plate of height H and a stationary wall is filled with an incompressible liquid with density Pliq. The plate is pushed to the right at a constant speed Vplate. At the bottom sliding joint, there is a seal to prevent leakage. The gap width x and the liquid height y are continuously changing with time. The length dimension L into the page is constant. Side View: H V plate seal X Stationary wall (a) Determine rate of change of the liquid width with time, (d x/d t) in terms of the given variables (i.e., Vplate). (b) Assume the moving plate height H is tall enough that the liquid does not spill over. Determine the rising rate of the liquid top surface (d y/d t) in terms of the given variables. (c) Assume the moving plate height H is too short and the liquid spills over as the plate keeps moving. Determine the mass flow rate of the spillage in terms of the given variables.

Problem 6.2 The gap between a moving plate of height H and a stationary wall is filled with an incompressible liquid with density Pliq. The plate is pushed to the right at a constant speed Vplate. At the bottom sliding joint, there is a seal to prevent leakage. The gap width x and the liquid height y are continuously changing with time. The length dimension L into the page is constant. Side View: H V plate seal X Stationary wall (a) Determine rate of change of the liquid width with time, (d x/d t) in terms of the given variables (i.e., Vplate). (b) Assume the moving plate height H is tall enough that the liquid does not spill over. Determine the rising rate of the liquid top surface (d y/d t) in terms of the given variables. (c) Assume the moving plate height H is too short and the liquid spills over as the plate keeps moving. Determine the mass flow rate of the spillage in terms of the given variables.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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