answer quickly A massless, circular disk of radius a is initially separated from a flat surface by a thin layer of aviscous fluid by a gap of h, h<< a. Both surfaces are highly polished and smooth.(a) Calculate the pressure distribution and the force required to lift the disk off of the solidsurface at a constant velocity V, in terms of u, V, h, and a.(b) Evaluate the force numerically if a = 3 cm, V 5 m/s, h 1 mm, and the fluid is water.(Not for credit) What would happen if the gap height were smaller, say 10 um?(c) How would the required force change if the disk were no longer flat, but (i) concave downwardor (ii) concave upward? You do not need to provide exact expressions, just give qualitativeanswers (but justify them!).

Given: a= 3 cm V= 5 m/s h= 1 mm

Answered: A massless, circular disk of radius a…

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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A cube of side (a) and mass (M) is initially sitting fully submerged at the bottom of a container filled with a liquid of kinematic viscosity v and density p. The container has a square cross-section of side (a+a/5) and the cube is sitting right at the middle of the container base. (a) A force (F) starts pulling the cube up at a constant velocity (U). Develop an expression for the force in terms of (U, M. a. g, p and v). You may assume that the velocity in the gap between the cube's sides and the container walls is linear. The expression for (F) is to be valid as long as the cube remains submerged. (b) After the cube reaches the water surface, it continues to be pulled up by the same force. Develop a differential equation for the variation with time of the fraction of the cube that is submerged in water.
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