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Selection of Droplet Formation Frequency in the Droplet Electrospray Method for Applying Lubricants to Multifilament Synthetic Yarns

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References

  1. V. S. Nagornyi, Khim. Volokna, No. 1, 28–33 (2002).

  2. V. S. Nagornyi, I. I. Matyushev, and A. E. Matveev, “Method for lubricating yarns,” Russian Federation Inventor’s Certificate 1694739. Published n Byul. No. 44 (1991).

  3. P. I. Cherednichenko, “Development of a production process and equipment for lubricating synthetic yarns,” Dissertation in competition for the academic degree of Doctor of Technical Sciences, MTI, Moscow (1989). 568 pp.

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This applied research has been conducted with the financial support of the Ministry of Education and Science of the Russian Federation. Unique identifier: Applied Research REMEF157714X0087.

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Authors and Affiliations

  1. St. Petersburg State Polytechnical University, St. Petersburg, Russia

    V. S. Nagornyi

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  1. V. S. Nagornyi
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Translated from Khimicheskie Volokna, Vol. 46, No. 4, pp. 27–32, July-August, 2014.

Appendix

Appendix

$$ {Q}_{\mathrm{f}\mathrm{iltr}}=\frac{{\left[4a{d}_{\mathrm{f}}+2\sqrt{3}{d}_{\mathrm{f}}\left({d}_{\mathrm{f}}N-a\right)-\uppi {d}_{\mathrm{f}}^2N\right]}^3\upsigma \cos \uptheta {k}_{\mathrm{eff}}{l}_{\mathrm{a}}}{128\uppi \mathrm{v}\uprho a{d}_{\mathrm{f}}^4\left[1+\frac{\sqrt{3}\left({d}_{\mathrm{f}}N-a\right)}{2a}\right]\cdot {\left[1+\frac{\sqrt{3}\left({d}_{\mathrm{f}}N-a\right)}{a\sqrt{3}}\right]}^2} $$
(8)
$$ {Q}_{\mathrm{f}\mathrm{iltr}}=\frac{{\left[4a{d}_{\mathrm{f}}+2\sqrt{3}{d}_{\mathrm{f}}\left({d}_{\mathrm{f}}N-a\right)-\uppi {d}_{\mathrm{f}}^2N\right]}^3\upsigma \cos \uptheta {k}_{\mathrm{eff}}{d}_{\mathrm{f}}\sqrt{2{d}_{\mathrm{f}}\left(3\varDelta h\right)}}{128\uppi \mathrm{v}\uprho a{d}_{\mathrm{f}}^4N\left[1+\frac{\sqrt{3}\left({d}_{\mathrm{f}}N-a\right)}{2a}\right]\cdot {\left[1+\frac{2\left({d}_{\mathrm{f}}N-a\right)}{a\sqrt{3}}\right]}^2}. $$
(9)

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Nagornyi, V.S. Selection of Droplet Formation Frequency in the Droplet Electrospray Method for Applying Lubricants to Multifilament Synthetic Yarns. Fibre Chem 46, 231–236 (2014). https://doi.org/10.1007/s10692-014-9595-4

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