Stability Analysis of One-Dimensional Steady Cavitating Nozzle Flows With Bubble Size Distribution

Yi-Chun Wang

doi:10.1115/1.483273

Journal of Fluids Engineering | Volume 122 | Issue 2 | TECHNICAL PAPERS

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TECHNICAL PAPERS

Stability Analysis of One-Dimensional Steady Cavitating Nozzle Flows With Bubble Size Distribution

Yi-Chun Wang, Assistant Professor

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Yi-Chun Wang

Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, Taiwan

J. Fluids Eng 122(2), 425-430 (Dec 20, 1999) (6 pages) doi:10.1115/1.483273 History: Received April 12, 1999; Revised December 20, 1999

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Notation for bubbly liquid flow in a converging-diverging nozzle

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The fluid velocity distribution as a function of the normalized position in the flow for four different upstream void fractions. Equilibrium sizes of the upstream nuclei are in the range of [R_s MIN^,R_s MAX^]=[10,200] μm and R_s^*=10 μm for the case of single bubble size. Labels of α_s=α_b⁻ and α_s=α_b⁺ correspond to α_s just below and above the value of α_b≈17.86×10⁻⁶. The various parameters are L=900, σ=0.85, C_P MIN=−1.0. The critical fluid velocity which activates the flashing instability is labeled as u_c.

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Stable and unstable radius distributions for bubbles of three selected equilibrium sizes. Same parameters as Fig. 2 with α_s=α_b⁻ (solid line) and α_s=α_b⁺ (dashed line).

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Comparison of three numerically calculated f(x) and that given by Eq. (13). Same parameters as Fig. 2.

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Wang Y. Stability Analysis of One-Dimensional Steady Cavitating Nozzle Flows With Bubble Size Distribution. ASME. J. Fluids Eng. 1999;122(2):425-430. doi:10.1115/1.483273.

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Stability Analysis of One-Dimensional Steady Cavitating Nozzle Flows With Bubble Size Distribution

References

Figures

Notation for bubbly liquid flow in a converging-diverging nozzle

The fluid pressure coefficient corresponding to Fig. 2

The void fraction distribution corresponding to Fig. 2

The fluid energy density distribution corresponding to Fig. 2

Schematic of f(x)=(1−α_s)/(1−α(x)), for 0≤x≤x_c

Schematic of bubble growth through a low-pressure region

Stable and unstable radius distributions for bubbles of three selected equilibrium sizes. Same parameters as Fig. 2 with α_s=α_b⁻ (solid line) and α_s=α_b⁺ (dashed line).

Comparison of three numerically calculated f(x) and that given by Eq. (13). Same parameters as Fig. 2.

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Stability Analysis of One-Dimensional Steady Cavitating Nozzle Flows With Bubble Size Distribution

References

Figures

Notation for bubbly liquid flow in a converging-diverging nozzle

The fluid pressure coefficient corresponding to Fig. 2

The void fraction distribution corresponding to Fig. 2

The fluid energy density distribution corresponding to Fig. 2

Schematic of f(x)=(1−αs)/(1−α(x)), for 0≤x≤xc

Schematic of bubble growth through a low-pressure region

Stable and unstable radius distributions for bubbles of three selected equilibrium sizes. Same parameters as Fig. 2 with αs=αb− (solid line) and αs=αb+ (dashed line).

Comparison of three numerically calculated f(x) and that given by Eq. (13). Same parameters as Fig. 2.

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

Schematic of f(x)=(1−α_s)/(1−α(x)), for 0≤x≤x_c

Stable and unstable radius distributions for bubbles of three selected equilibrium sizes. Same parameters as Fig. 2 with α_s=α_b⁻ (solid line) and α_s=α_b⁺ (dashed line).