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DLS

  • one year 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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  1. DLS
    • one year ago
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    @shubhamsrg @Yahoo!

  2. DLS
    • one year ago
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    2

  3. shubhamsrg
    • one year ago
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    What does parallel connection mean? Can you draw ?

  4. DLS
    • one year ago
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    not sureanything about this Q

  5. Diwakar
    • one year ago
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    The 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

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  6. shubhamsrg
    • one year ago
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    Its gonna take me time to grasp all.

  7. DLS
    • one year ago
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    i got my ans and i t was easy :P that guy did it wrong

  8. shubhamsrg
    • one year ago
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    Please post it here, Its very rare that @Diwakar does it wrong.

  9. DLS
    • one year ago
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    P=P1+P2 :o

  10. Diwakar
    • one year ago
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    What are the correct answers?

  11. DLS
    • one year ago
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    V/17 for series and 17V/16 for parallel

  12. Diwakar
    • one year ago
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    Of course, i made a grave mistake in calculations. I took 2^4=32. Sorry for that!!

  13. DLS
    • one year ago
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    :)

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