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Calculation of Developing Flow Friction Factor

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Old   September 25, 2015, 10:23
Default Calculation of Developing Flow Friction Factor
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Raphael
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All,

I am trying to simulate developing flow between two parallel plates (2-D simulation), and compute the dimensionless developing (Darcy) friction factor Reynolds product over fully-developed value of 96 (f*Re/96) as a function of dimensionless length down the channel (X^ = X/(Re D)).

From the literature, it seems that the curve of f*Re/96 vs X/(Re D) should be constant and independent of Re; however, in my simulations, in multiple softwares (ANSYS Fluent, COMSOL, my own Matlab code), i find that the curves vary with Re, and increasing Re decreases f*Re/96 for the same X/(Re D).

I compute f two ways, both of which give nearly identical results:

(1) dP/dx = 1/2 f/D rho V^2; solve for f
(2) f = 4*mu*du/dy|w / (rho V^2) (factor of 4 to convert from Fanning to Darcy)

p is static pressure, but ive tried total pressure as well, and it doesnt fix the problem.

Is this correct? What am i doing wrong?

Would appreciate any help,
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ansys, comsol, developing flow, friction factor, matlab


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