A capillary tube of length l and radius r is | vedclass

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(B) According to Poiseuille's law,the volume flow rate $V$ is given by $V = \frac{P}{R}$,where $R$ is the fluid resistance.Resistance $R$ is given by

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$\frac{V}{17}$

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(B) According to Poiseuille's law,the volume flow rate $V$ is given by $V = \frac{P}{R}$,where $R$ is the fluid resistance.Resistance $R$ is given by $R = \frac{8\eta l}{\pi r^4}$.For the first tube,$R = \frac{8\eta l}{\pi r^4}$.For the second tube with radius $r' = \frac{r}{2}$,the resistance $R'$ is:$R' = \frac{8\eta l}{\pi (r/2)^4} = \frac{8\eta l}{\pi r^4} 	imes 16 = 16R$.When connected in series,the total resistance $R_{total} = R + R' = R + 16R = 17R$.The new volume flow rate $V_{new}$ is:$V_{new} = \frac{P}{R_{total}} = \frac{P}{17R} = \frac{V}{17}$.

Column - $I$	Column - $II$
$(a)$ $R_e > 2000$	$(i)$ Streamline
$(b)$ $1000 < R_e < 2000$	$(ii)$ Turbulent
	$(iii)$ Unsteady

Similar Questions

Range of Reynolds number are given in Column - $I$ and types of flow are given in Column - $II$. Match them appropriately.

Column - $I$ Column - $II$

$(a)$ $R_e > 2000$ $(i)$ Streamline

$(b)$ $1000 < R_e < 2000$ $(ii)$ Turbulent

$(iii)$ Unsteady

What is turbulent flow? Give its illustrations.

What are the limitations of the concept of turbulence in fluid dynamics?

What is Reynolds number?

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