### Abstract

We propose a two-phase-fluid model for a full-cone turbulent round jet that describes its dynamics in a simple but comprehensive manner with only the apex angle of the cone being a disposable parameter. The basic assumptions are that (i) the jet is statistically stationary and that (ii) it can be approximated by a mixture of two fluids with their phases in dynamic equilibrium. To derive the model, we impose conservation of the initial volume and total momentum fluxes. Our model equations admit analytical solutions for the composite density and velocity of the two-phase fluid, both as functions of the distance from the nozzle, from which the dynamic pressure and the mass entrainment rate are calculated. Assuming a far-field approximation, we theoretically derive a constant entrainment rate coefficient solely in terms of the cone angle. Moreover, we carry out experiments for a single-phase turbulent air jet and show that the predictions of our model compare well with this and other experimental data of atomizing liquid jets.

Original language | English |
---|---|

Article number | 034401 |

Journal | journal of the physical society of japan |

Volume | 86 |

Issue number | 3 |

DOIs | |

Publication status | Published - Jan 1 2017 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*journal of the physical society of japan*,

*86*(3), [034401]. https://doi.org/10.7566/JPSJ.86.034401

**Mass entrainment rate of an ideal momentum turbulent round jet.** / Medrano, Fermín Franco; Fukumoto, Yasuhide; Velte, Clara Marika; Hodžić, Azur.

Research output: Contribution to journal › Article

*journal of the physical society of japan*, vol. 86, no. 3, 034401. https://doi.org/10.7566/JPSJ.86.034401

}

TY - JOUR

T1 - Mass entrainment rate of an ideal momentum turbulent round jet

AU - Medrano, Fermín Franco

AU - Fukumoto, Yasuhide

AU - Velte, Clara Marika

AU - Hodžić, Azur

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We propose a two-phase-fluid model for a full-cone turbulent round jet that describes its dynamics in a simple but comprehensive manner with only the apex angle of the cone being a disposable parameter. The basic assumptions are that (i) the jet is statistically stationary and that (ii) it can be approximated by a mixture of two fluids with their phases in dynamic equilibrium. To derive the model, we impose conservation of the initial volume and total momentum fluxes. Our model equations admit analytical solutions for the composite density and velocity of the two-phase fluid, both as functions of the distance from the nozzle, from which the dynamic pressure and the mass entrainment rate are calculated. Assuming a far-field approximation, we theoretically derive a constant entrainment rate coefficient solely in terms of the cone angle. Moreover, we carry out experiments for a single-phase turbulent air jet and show that the predictions of our model compare well with this and other experimental data of atomizing liquid jets.

AB - We propose a two-phase-fluid model for a full-cone turbulent round jet that describes its dynamics in a simple but comprehensive manner with only the apex angle of the cone being a disposable parameter. The basic assumptions are that (i) the jet is statistically stationary and that (ii) it can be approximated by a mixture of two fluids with their phases in dynamic equilibrium. To derive the model, we impose conservation of the initial volume and total momentum fluxes. Our model equations admit analytical solutions for the composite density and velocity of the two-phase fluid, both as functions of the distance from the nozzle, from which the dynamic pressure and the mass entrainment rate are calculated. Assuming a far-field approximation, we theoretically derive a constant entrainment rate coefficient solely in terms of the cone angle. Moreover, we carry out experiments for a single-phase turbulent air jet and show that the predictions of our model compare well with this and other experimental data of atomizing liquid jets.

UR - http://www.scopus.com/inward/record.url?scp=85014616949&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014616949&partnerID=8YFLogxK

U2 - 10.7566/JPSJ.86.034401

DO - 10.7566/JPSJ.86.034401

M3 - Article

AN - SCOPUS:85014616949

VL - 86

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

M1 - 034401

ER -