Reynolds Number For Flat Plate

The transition Reynolds number for flow over a flat plate is 5 × 10⁵. What is the altitude from the leading edge at which transition will occur for the menstruation of h2o with a uniform velocity of 1 1000/s? (For water, the kinematic viscosity, ν = 0.858 × 10^-6 mⁱⁱ/s)

i m
0.43 m
43 m
103 m

Reply (Detailed Solution Below)

Option two : 0.43 1000

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Explanation:

Reynolds Number:

It is theratio of the inertial forces to mucilaginous forces.

It is a dimensionless number used to categorize the fluid systems in the upshot of viscosity is important in controlling the velocities or the flow pattern of a fluid.

Mathematically, Reynolds Number is

\(Reynolds\ Number = \frac{inertial forces}{ viscid forces}\)

\({Re} = \frac{{\rho Vd}}{\mu }\)

\({Re} = \frac{{ Vd}}{ν }\)

Where, ρ = density, Five = velocity, d = diameter, μ = viscosity, ν = kinematic viscosity,

Adding:

Given:

Re = five × 10v, V = 1 m/s, ν = 0.858 × x-6 1000ii/s

\({Re} = \frac{{ Vd}}{ν }\)

\({five \times 10^5} = \frac{{ 1L}}{0.858 \times x^{-6} }\)

L = 0.43 m

Reynolds number is important for decreasing the transport properties of a fluid or a particle moving in a fluid.

Important Points

Flow-through pipes are classified into three main categories:

If Reynold'south number is very low (less than 2000) so flow is called Laminar flow.
If Reynold'south number is in therange of 2000 to 4000 then period is calledtransition flow.
If Reynold's number is very high(greater than 4000) then flow is calledTurbulent flow.

Last updated on Sep 22, 2022

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