JEE Main202226 Jun 2022Evening ShiftPhysicsMechanical Properties of FluidsActual
If p is the density and η is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d , the correct formula for Reynolds number R e is
Options
- AR e = π d ρ v
- BR e = ρ v η d
- CR e = ρ v d η
- DR e = η ρ ν d
Correct answer
C. R e = ρ v d η
Step-by-step solution
Reynolds number is given by, R e = ρ v d η , where, v = flow velocity, d = hydraulic diameter of the pipe, ρ = density of the fluid & η = coefficient of viscosity of the fluid. Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.