Two parallel surfaces move relative to each other at a velocity of 20 in/sec and are separated by a gap of .625 in. The gap is filled by a fluid of unknown viscosity. The relative motion is resisted by a shear stress of .4 lb/in2 due to the viscosity of the fluid. If the velocity gradient in the space between the surfaces is constant, determine the viscosity of the fluid and the approximate type of material.

Given data in this question is :⇒Shear Stress in the fluid τ = 0.4 lbin2⇒Relative velocity…

Answered: Two parallel surfaces move relative to…

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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Two parallel surfaces move relative to each other at a velocity of 20 in/sec and are separated by a gap of .625 in. The gap is filled by a fluid of unknown viscosity. The relative motion is resisted by a shear stress of .4 lb/in² due to the viscosity of the fluid. If the velocity gradient in the space between the surfaces is constant, determine the viscosity of the fluid and the approximate type of material.

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$G i v e n d a t a i n t h i s q u e s t i o n i s : \Rightarrow S h e a r S t r e s s i n t h e f l u i d (τ) = 0.4 \frac{l b}{i n^{2}} \Rightarrow R e l a t i v e v e l o c i t y (V_{1} - V_{2}) = 20 \frac{i n}{s e c} \Rightarrow G a p b e t w e e n t h e p l a t e i s = h = 0.625 i n \Rightarrow L e t v i s \cos i t y o f t h e f l u i d = η (\frac{d u}{d y} = v e l o c i t y g r a d i e n t i n t h e y - d i r e c t i o n)$

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