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

  • A
    It is highly predictable.
  • B
    It is independent of the Reynolds number.
  • C
    It is extremely complex and lacks a complete analytical theory.
  • D
    It only occurs in laminar flow.

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We have two narrow capillary tubes $T_1$ and $T_2$. Their lengths are $l_1$ and $l_2$ and radii of cross-section are $r_1$ and $r_2$ respectively. The rate of flow of water under a pressure difference $P$ through tube $T_1$ is $8 \ cm^3/sec$. If $l_1 = 2l_2$ and $r_1 = r_2$,what will be the rate of flow when the two tubes are connected in series and the pressure difference across the combination is the same as before $(= P)$?

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Under a pressure head,the rate of orderly volume flow of a liquid through a capillary tube is $Q$. If the length of the capillary tube is doubled and the diameter of the tube is halved,the rate of flow would become:

$A$ liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference $P$. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled is

What is the value of the Reynolds number $(R_e)$ for unsteady flow?

Consider an increase of $1 \%$ in each of the radius of the artery,the viscosity of blood,and the density of blood,respectively. The percentage change in the flow rate of blood in the artery is (in $\%$)

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