Solveeit Logo

Question

Physics Question on mechanical properties of fluid

A flow of liquid is streamline if the Reynolds number is

A

greater than 1000

B

between 4000 to 5000

C

less than 1000

D

between 2000 to 3000

Answer

less than 1000

Explanation

Solution

Reynold's number is a pure number and it is equal to the ratio of the inertial force per unit area to the viscous force per unit area for a flowing fluid. Reynold's number K=vcρrηK=\frac{v_{c} \cdot \rho \cdot r}{\eta} where ρ=\rho= density of the liquid vc=v_{c}= critical velocity η=\eta= coefficient of viscosity of liquid r=r= radius of capillary tube (i) For pure water flowing in a cylindrical pipe, KK is about 1000 . When 0<K<20000 < K< 2000, the flow of liquid is streamlined. (ii) When 2000<K<30002000< K< 3000, the flow of liquid is variable between streamlined and turbulent. (iii) When K>3000K >3000, the flow of liquid is turbulent.