In: Mechanical Engineering
Define the Reynolds number for pipe flow, film flow, annulus flow and particle
motion in a fluid.
Reynolds Number:
Definition: The Reynolds number is a dimensionless number and it is defined as the ratio of internal forces to viscous forces within a fluid which is subjected to relative movement due to different fluid velocities. Reynolds number is defined as,
Where, ρ is density of the fluid, V = velocity of the flow, Dh is hydraulic Diameter of the pipe, μ = Dynamic viscosity of the fluid
Where, ρ is density of the fluid, V = velocity of the flow, D is hydraulic Diameter of the pipe, μ = Dynamic viscosity of the fluid
Where, ρ is density of the fluid, D = Diameter of the pipe, μ = Dynamic viscosity of the fluid, (m_dot) = mass flow rate, ν is kinematic viscosity
Where, ρ is density of the fluid, V = velocity of the flow, Do is inside diameter of the outer pipe, Di is outside diameter of the inner pipe, μ = Dynamic viscosity of the fluid
Where, ρ is density of the fluid, Vp = velocity of the particle for the fluid velocity, Dp is diameter of the particle, μ = Dynamic viscosity