Question

What is Reynold's number? What is its significance.

Answer 1

hi buddy

here is your answer

• The dimensionless Reynolds number plays a prominent role in foreseeing the patterns in a fluid's behavior. The Reynolds number, referred to as Re, is used to determine whether the fluid flow is laminar or turbulent.

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Answer 2

Reynolds number is a dimensionless number, whise value gives an approximate idea whether the flow is steady or turbulent. This number is called Reynold's number.

$\boxed{ \boxed{ \sf{R_{e} \: = \frac{ \rho \: \nu \: d}{ \eta} }}}$

$\sf{ \rho \: - \: density \: of \: the \: fluid}$

$\sf{ \nu \: - \: speed \: of \: the \: flowing \: fluid}$

$\sf{d - dimension \: of \: the \: pipe}$

$\sf{ \eta \: - \: coefficient \: of \: the \: viscosity \: of \: the \: fluid}$

Importance :-

• It is found that the flow is stramlined (steady) for $R_{e}$ less than 1000. The flow is turbulent for $R_{e} > 2000$ .

• If $R_{e}$ lies between 1000 and 2000 the flow is unsteady and it may change from laminar to turblent flow and vice versa.