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=ηvc⋅ρ⋅r where ρ= density of the liquid vc= critical velocity η= coefficient of viscosity of liquid r= radius of capillary tube (i) For pure water flowing in a cylindrical pipe, K is about 1000 . When 0<K<2000, the flow of liquid is streamlined. (ii) When 2000<K<3000, the flow of liquid is variable between streamlined and turbulent. (iii) When K>3000, the flow of liquid is turbulent.