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DLS
 3 years ago
The rate of flow of a liquid through a tube of length L and radius R is V.Find the rate of flow of liquid through the combination of two tubes of same length L but radii R and R/2 when they are connected in
a)Series
b)parallel
DLS
 3 years ago
The rate of flow of a liquid through a tube of length L and radius R is V.Find the rate of flow of liquid through the combination of two tubes of same length L but radii R and R/2 when they are connected in a)Series b)parallel

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shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0What does parallel connection mean? Can you draw ?

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0not sureanything about this Q

Diwakar
 3 years ago
Best ResponseYou've already chosen the best response.1The meanings of series and parallel arrangements of pipes is similar to that of electrical components.I have drawn a visual of it in the file attached. The two ends are at some pressure P. A beautiful parallel can be drawn between series and parallel arrangements of resistors and pipes. This is possible by Poisseuille's formula for rate of flow V=(pi*P*r^4)/8*n*l r is radius of cross section n is viscosity l is length of tube This can be simplified using (pi*r^4)8*n*l = C, a constant So V=CP When we draw an analogue between resistor arrangement, we can take V=some sort of current, P=some sort of potential difference and 1/C = R =resistance to the flow Although we can do the process step by step , it is easier to use the same results of resistor arrangement. Only the important thing is that volume flow (current) is same in both tubes (resistors) in series. And pressure difference (potential difference) is same across both tubes in parallel. 1) In series total resistance R=R1+R2 = (33*8*n*l)/pi*R^4 volume flow=P/R=(pi*P*R^4)/8*33*n*l = V/33 2) In parallel 1/R= 1/R1+1/R2 R=8*n*l/33*pi*R^4 You will find the flow to be 33V

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0Its gonna take me time to grasp all.

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0i got my ans and i t was easy :P that guy did it wrong

shubhamsrg
 3 years ago
Best ResponseYou've already chosen the best response.0Please post it here, Its very rare that @Diwakar does it wrong.

Diwakar
 3 years ago
Best ResponseYou've already chosen the best response.1What are the correct answers?

DLS
 3 years ago
Best ResponseYou've already chosen the best response.0V/17 for series and 17V/16 for parallel

Diwakar
 3 years ago
Best ResponseYou've already chosen the best response.1Of course, i made a grave mistake in calculations. I took 2^4=32. Sorry for that!!
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