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Question

What is meant by viscosity and coefficient of viscosity? Explain its cause and give its dimension and units.

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Solution

$V i s \cos i t y : W h e n a l i q u i d m o v e s s l o w l y a n d s t e a d i l y o n a h o r i z o n t a l s u r f a c e i t s l a y e r i n c o n t a c t w i t h t h e f i x e d s u r f a c e i s s t a t i o n a r y a n d t h e v e l o c i t y o f t h e l a y e r s i n c r e a s e s w i t h t h e d i s \tan c e f r o m t h e f i x e d s u r f a c e . C o e f f i c i e n t o f V i s \cos i t y : I t i s d e f i n e d a s t h a V i s c o u s f o r c e a c t i n g p e r u n i t a r e a b e t w e e n t w o l a t e r s m o v i n g w i t h u n i t v e l o c i t y g r a d i e n t . η = \frac{F}{A (d v / d x)} u n i t : P o i s e o r g m / s e c . c m$

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