This paper presents a numerical method for high-speed compressible cavitating flows. The method is derived from one-fluid formulation in a sense that the two phases are well mixed and the mixture is considered as a locally homogeneous media. Energy equation is solved to predict the temperature evolution which is then used together with pressure to update the density field. A volume of fluid (VOF) phase-fraction based interface capturing approach is used to capture the phase front between the two immiscible fluids. The derived formulations have been implemented into a pressure-based, segregated algebraic semi-implicit compressible solver in Openfoam, which can be used to solve for high-speed compressible two-phase flows involving phase changing. Numerical examples include the cavitating flows induced by an ultrasonic oscillating horn with and without a counter sample. The numerical results by the proposed method are validated against the published experimental data as well as numerical results and good agreements have been obtained. Our calculation demonstrates that the proposed numerical method is applicable to the study of high-speed two phase flows with phase transition and wave propagation, such as shock waves induced by the collapse of the cavitation bubbles.
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A Pressure-Base One-Fluid Compressible Formulation for High Speed Two-Phase Flows With Heat and Mass Transfer
Yan Luo,
Yan Luo
Laboratory Technician,
School of Mechanical and Power Engineering,
Nanjing Tech University,
No.6, Puzhu South Road,
Pukou District,
Nanjing 211816, Jiangsu Province, China
e-mail: 3095068802@qq.com
School of Mechanical and Power Engineering,
Nanjing Tech University,
No.6, Puzhu South Road,
Pukou District,
Nanjing 211816, Jiangsu Province, China
e-mail: 3095068802@qq.com
Search for other works by this author on:
Jianqiu Zhou,
Jianqiu Zhou
Professor
School of Mechanical and Power Engineering,
Nanjing Tech University,
No.6, Puzhu South Road,
Pukou District,
Nanjing 211816, Jiangsu Province, China
e-mail: 3110837040@qq.com
School of Mechanical and Power Engineering,
Nanjing Tech University,
No.6, Puzhu South Road,
Pukou District,
Nanjing 211816, Jiangsu Province, China
e-mail: 3110837040@qq.com
Search for other works by this author on:
Xia Yang,
Xia Yang
Professor
School of Mechanical and Electrical Engineering,
Wuhan institute of Technology,
No.1, Liufang Avenue,
Jiangxia District,
Wuhan 430073, Hubei Province, China
e-mail: 3348489608@qq.com
School of Mechanical and Electrical Engineering,
Wuhan institute of Technology,
No.1, Liufang Avenue,
Jiangxia District,
Wuhan 430073, Hubei Province, China
e-mail: 3348489608@qq.com
Search for other works by this author on:
Zhanxiang Jiang
Zhanxiang Jiang
School of Mechanical and Electrical Engineering,
Wuhan institute of Technology,
No.1, Liufang Avenue,
Jiangxia District,
Wuhan 430073, Hubei Province, China
e-mail: 411841183@qq.com
Wuhan institute of Technology,
No.1, Liufang Avenue,
Jiangxia District,
Wuhan 430073, Hubei Province, China
e-mail: 411841183@qq.com
Search for other works by this author on:
Yan Luo
Laboratory Technician,
School of Mechanical and Power Engineering,
Nanjing Tech University,
No.6, Puzhu South Road,
Pukou District,
Nanjing 211816, Jiangsu Province, China
e-mail: 3095068802@qq.com
School of Mechanical and Power Engineering,
Nanjing Tech University,
No.6, Puzhu South Road,
Pukou District,
Nanjing 211816, Jiangsu Province, China
e-mail: 3095068802@qq.com
Jianqiu Zhou
Professor
School of Mechanical and Power Engineering,
Nanjing Tech University,
No.6, Puzhu South Road,
Pukou District,
Nanjing 211816, Jiangsu Province, China
e-mail: 3110837040@qq.com
School of Mechanical and Power Engineering,
Nanjing Tech University,
No.6, Puzhu South Road,
Pukou District,
Nanjing 211816, Jiangsu Province, China
e-mail: 3110837040@qq.com
Xia Yang
Professor
School of Mechanical and Electrical Engineering,
Wuhan institute of Technology,
No.1, Liufang Avenue,
Jiangxia District,
Wuhan 430073, Hubei Province, China
e-mail: 3348489608@qq.com
School of Mechanical and Electrical Engineering,
Wuhan institute of Technology,
No.1, Liufang Avenue,
Jiangxia District,
Wuhan 430073, Hubei Province, China
e-mail: 3348489608@qq.com
Zhanxiang Jiang
School of Mechanical and Electrical Engineering,
Wuhan institute of Technology,
No.1, Liufang Avenue,
Jiangxia District,
Wuhan 430073, Hubei Province, China
e-mail: 411841183@qq.com
Wuhan institute of Technology,
No.1, Liufang Avenue,
Jiangxia District,
Wuhan 430073, Hubei Province, China
e-mail: 411841183@qq.com
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received October 14, 2017; final manuscript received March 13, 2018; published online April 19, 2018. Assoc. Editor: George S. Dulikravich.
J. Heat Transfer. Aug 2018, 140(8): 082901 (17 pages)
Published Online: April 19, 2018
Article history
Received:
October 14, 2017
Revised:
March 13, 2018
Citation
Luo, Y., Zhou, J., Yang, X., and Jiang, Z. (April 19, 2018). "A Pressure-Base One-Fluid Compressible Formulation for High Speed Two-Phase Flows With Heat and Mass Transfer." ASME. J. Heat Transfer. August 2018; 140(8): 082901. https://doi.org/10.1115/1.4039686
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