Question

In: Mechanical Engineering

Define the Reynolds number for pipe flow, film flow, annulus flow and particle motion in a...

Define the Reynolds number for pipe flow, film flow, annulus flow and particle

motion in a fluid.

Expert Solution

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, D_h is hydraulic Diameter of the pipe, μ = Dynamic viscosity of the fluid

For pipe flow, Reynolds number is defined as,

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

For film flow, Reynolds number is defined as,

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

For Annular flow, Reynolds number is defined as,

Where, ρ is density of the fluid, V = velocity of the flow, D_o is inside diameter of the outer pipe, D_i is outside diameter of the inner pipe, μ = Dynamic viscosity of the fluid

For Particle motion in a fluid, Reynolds number is defined as,

Where, ρ is density of the fluid, V_p = velocity of the particle for the fluid velocity, D_p is diameter of the particle, μ = Dynamic viscosity

samet mamat answered 2 years ago

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