Question 107: Properties of Matter

Question

If p is the density and $$\eta$$ is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number Re is :

Accepted Answer

The Reynolds number (Re) is a dimensionless quantity used in fluid mechanics to predict the onset of turbulence. It is defined as:
$$Re = \frac{{\rho v d}}{{\eta}}$$
where:
$\rho$ is the fluid density
$v$ is the fluid velocity
$d$ is a characteristic linear dimension (for a pipe, this is typically the diameter)
$\eta$ is the dynamic viscosity of the fluid
So, Option C is the correct answer:
$${R_e} = {{\rho vd} \over \eta }$$

Answer

$${R_e} = {{\eta d} \over {\rho v}}$$

Answer

$${R_e} = {{\rho v} \over {\eta d}}$$

Answer

$${R_e} = {{\rho vd} \over \eta }$$

Answer

$${R_e} = {\eta  \over {\rho vd}}$$

Properties of Matter

If p is the density and $\eta$ is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number Re is :

Choose the correct answer: