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Table 6 Selected friction factor correlations from the literature

From: An Experimental Study on Flow and Heat Transfer Characteristics of Ethanol/Polyalphaolefin Nanoemulsion Flowing Through Circular Minichannels

Correlation

Conditions

Range of validity

Hagen-Poiseuille correlation [73]

f ⋅ Re = 64

Laminar flow inside circular channel

Re < 2300

Shah correlation [73]

\( f\cdot \mathrm{R}\mathrm{e}\approx \left(4\frac{3.44}{\sqrt{\xi}}+\frac{16+0.3125\xi -\frac{3.44}{\sqrt{\xi}}}{1+2.12\times \frac{10^{-4}}{\xi^2}}\right) \)

Where \( \xi =\left(\frac{\mathrm{x}}{\mathrm{D}}\right)/\mathrm{R}\mathrm{e} \)

Laminar flow inside circular channel with consideration of entrance length

Re < 2300

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