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Reynolds Number Calculation Guide

1) The Reynolds number (Rex) for flow past an object 0.42m in length with a velocity of 44.7m/s in a fluid with a density of 1.225 kg/m3 is calculated to be 1.28e6. 2) An equation is used to calculate the boundary layer thickness (Δy) given Rex, which is found to be 1.5e-5m. 3) The boundary layer thickness is then used to calculate the power law exponent (n) relating Rex and Δy, found to be 74.

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74 views2 pages

Reynolds Number Calculation Guide

1) The Reynolds number (Rex) for flow past an object 0.42m in length with a velocity of 44.7m/s in a fluid with a density of 1.225 kg/m3 is calculated to be 1.28e6. 2) An equation is used to calculate the boundary layer thickness (Δy) given Rex, which is found to be 1.5e-5m. 3) The boundary layer thickness is then used to calculate the power law exponent (n) relating Rex and Δy, found to be 74.

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Attique Javaid
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Lc = 4.

2 m

x = 0.42 m

u =44.7m/s
Rex = rho*u*x/
rho = p/(R*T) =101325/(287*288.2)=
1.225 kg/m3
Rex = 1.225*44.7*0.42/1.8e-5=1.28e6
y = 0.42*2*sqrt(74)*(1.28e6)^(13/14)=1.5e-5

50 = 1.5e-5(1-1.2^n)/(1-1.2)
50=1.5e-5(1-1.2^n)/-0.2
-10=1.5e-5(1-1.2^n)
(1-1.2^n)= -10/1.5e-5=-6.67e+5
1.2^n = 1+6.67e+5 =667001
Ln(1.2^n) =Ln(667001)
n.Ln(1.2) =ln(667001)
n = ln(667001)/ln(1.2) = 74

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