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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Reynold's no
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ramyani (2532)

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Q, Water flows at a speed of 6 cm/s thro a tube of radius 1 cm. Coeff. of voscosity of water at room temp. is 0.01 poise. Calculate the Reynold's no.


Ans : 120.


HCV , vol I, page 302 , q. 32


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saurabh_reincarnated (236)

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the velocity given must be critical vel ....


as we hve formula.. Vc = R (n/ rho D)


Vc= critical vel (max vel. fluid can have streamlined flow) , R= reynolds no., n= coef. of viscocity, D = 2r = diametr, and rho = density = 1 almost....


but i wonder why it isnt gven anythng abt critical vel.....


 


ANYWAYZ  this is the formula....


hope it helps...


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ramyani (2532)

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does it come 120 ?


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snail (120)

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As given above Reynolds Number =  




 


It can be calculated for any velocity,not necessarily critical velocity.


It comes to 600.


Pls use the link http://www.efunda.com/formulae/fluids/calc_reynolds.cfm#calc


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saurabh_reincarnated (236)

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yes ans in that way comes 120 for sure...


bcos we hve ..


V= 0.06 m/sec


diametre = 0.02 m


and rho = 1000 kg/ m^3


and n = 0.01...


putting values we get 120....


but m still unsure.. cos i know well that R is a constant for a liquid and not variale and it is only possible to calc if V here is critical vel...


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ramyani (2532)

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and n = 0.01...it is poise


SI is  n = 0.001 decapoise or N-s/ m2


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ramyani (2532)

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or, in calculating that no, n is to kept in poise while all others in SI ?


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saurabh_reincarnated (236)

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oh ok....


thn must be some mistake in printing..


forget that naa... it seems its not a big mistake...


but i hve a bigger prob...


how is it not gven that it is critical vel....  u sure of quest.?


cud u get it clarified.. cos i m damn sure Reynolds no is constant for a fluid....


 

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ramyani (2532)

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mistake in printing..


it is hcv yaar !


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Little_Master (226)

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From snails link I am getting Reynolds number = 1200.


A elder friend told me that this number can be calculated for any flow velocity in a pipe.


For Re below 2000 flow will be laminar, above this value flow becomes turbulant.


If A is a success in life, then A equals x plus y plus z. Work is x; y is play; and z is keeping your mouth shut.




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ramyani (2532)

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" .. For Re below 2000 flow will be laminar, above this value flow becomes turbulant. "


dats true.


But what is the no ? 120 or 1200 ?


it is not important where u stand, but in which direction u are moving
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Little_Master (226)

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When we take units in SI we get :


V = 0.06 m/s


d = 0.02 m


  = 1000 kg/m^3


 = 0.001 pascal sec (kg/m sec)


Reynolds No. = 1200


May be your units are not consistant.


In CGS units we get :


V = 6 cm/s


d = 2 cm


  = 1 g/cm^3


 = 0.01 poise (g/cm sec)


Reynolds No. = 1200


If A is a success in life, then A equals x plus y plus z. Work is x; y is play; and z is keeping your mouth shut.




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