AN EXPERIMENTAL STUDY ON THE FLUIDELASTIC FORCES ACTING ON A SQUARE TUBE BUNDLE IN TWO-PHASE CROSS-FLOW
A tube in a square tube bundle of P/D=1·42 was oscillated in the lift direction in air–water two-phase cross-flow, and fluidelastic forces acting on the oscillated tube were measured. First, the tube amplitude was fixed to 3 mm (=0·136 D), and added mass, damping, and stiffness coefficients were obt...
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Published in | Journal of fluids and structures Vol. 16; no. 7; pp. 891 - 907 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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01.10.2002
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Abstract | A tube in a square tube bundle of
P/D=1·42 was oscillated in the lift direction in air–water two-phase cross-flow, and fluidelastic forces acting on the oscillated tube were measured. First, the tube amplitude was fixed to 3 mm (=0·136
D), and added mass, damping, and stiffness coefficients were obtained as a function of two-phase mixture characteristics such as nondimensional gap velocity and void fraction. When reference mixture density and velocity were estimated, the drift–flux model, in which the relative velocity between the gas and liquid phases was estimated, generated better results than the homogeneous model. The added mass coefficient was obtained from quiescent two-phase flow as a function of void fraction. Using the added mass coefficient, the added stiffness coefficient converged to zero with decreasing nondimensional gap velocity. This overcame the contradiction in the added stiffness estimation without added mass, in which the added stiffness coefficient did not converge to zero with decreasing nondimensional gap velocity. Next, the effects of the vibration amplitude on the fluidelastic force coefficients were considered. When the tube amplitude was 3 mm (=0·136
D) or less, the equivalent added stiffness and damping coefficients were almost constant and nonlinearity was small. This showed the validity of the fluidelastic force coefficients obtained based on the data of amplitude of 3 mm. The linearity did not exist when the tube displacement amplitude was 4·5 mm (=0·205
D) or more; a remarkable nonlinearity appeared in the equivalent added damping coefficient. A method to estimate the limit-cycle amplitude of the fluidelastic vibration was proposed when only one tube in the tube bundle was able to vibrate in the lift direction. The amplitude could be obtained from the amplitude at which the equivalent added damping coefficient changed from negative to positive with increase in the tube amplitude. |
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AbstractList | A tube in a square tube bundle of P/D = 1 * 42 was oscillated in the lift direction in air-water two-phase cross-flow, and fluidelastic forces acting on the oscillated tube were measured. First, the tube amplitude was fixed to 3 mm (= 0 * 136D), and added mass, damping, and stiffness coefficients were obtained as a function of two-phase mixture characteristics such as nondimensional gap velocity and void fraction. When reference mixture density and velocity were estimated, the drift-flux model, in which the relative velocity between the gas and liquid phases was estimated, generated better results than the homogeneous model. The added mass coefficient was obtained from quiescent two-phase flow as a function of void fraction. Using the added mass coefficient, the added stiffness coefficient converged to zero with decreasing nondimensional gap velocity. This overcame the contradiction in the added stiffness estimation without added mass, in which the added stiffness coefficient did not converge to zero with decreasing nondimensional gap velocity. Next, the effects of the vibration amplitude on the fluidelastic force coefficients were considered. When the tube amplitude was 3 mm (= 0 * 136D) or less, the equivalent added stiffness and damping coefficients were almost constant and nonlinearity was small. This showed the validity of the fluidelastic force coefficients obtained based on the data of amplitude of 3 mm. The linearity did not exist when the tube displacement amplitude was 4 * 5 mm (= 0 * 205D) or more; a remarkable nonlinearity appeared in the equivalent added damping coefficient. A method to estimate the limit-cycle amplitude of the fluidelastic vibration was proposed when only one tube in the tube bundle was able to vibrate in the lift direction. The amplitude could be obtained from the amplitude at which the equivalent added damping coefficient changed from negative to positive with increase in the tube amplitude. A tube in a square tube bundle of P/D=1·42 was oscillated in the lift direction in air–water two-phase cross-flow, and fluidelastic forces acting on the oscillated tube were measured. First, the tube amplitude was fixed to 3 mm (=0·136 D), and added mass, damping, and stiffness coefficients were obtained as a function of two-phase mixture characteristics such as nondimensional gap velocity and void fraction. When reference mixture density and velocity were estimated, the drift–flux model, in which the relative velocity between the gas and liquid phases was estimated, generated better results than the homogeneous model. The added mass coefficient was obtained from quiescent two-phase flow as a function of void fraction. Using the added mass coefficient, the added stiffness coefficient converged to zero with decreasing nondimensional gap velocity. This overcame the contradiction in the added stiffness estimation without added mass, in which the added stiffness coefficient did not converge to zero with decreasing nondimensional gap velocity. Next, the effects of the vibration amplitude on the fluidelastic force coefficients were considered. When the tube amplitude was 3 mm (=0·136 D) or less, the equivalent added stiffness and damping coefficients were almost constant and nonlinearity was small. This showed the validity of the fluidelastic force coefficients obtained based on the data of amplitude of 3 mm. The linearity did not exist when the tube displacement amplitude was 4·5 mm (=0·205 D) or more; a remarkable nonlinearity appeared in the equivalent added damping coefficient. A method to estimate the limit-cycle amplitude of the fluidelastic vibration was proposed when only one tube in the tube bundle was able to vibrate in the lift direction. The amplitude could be obtained from the amplitude at which the equivalent added damping coefficient changed from negative to positive with increase in the tube amplitude. |
Author | KAWAMURA, K. INADA, F. YASUO, A. YONEDA, K. |
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Cites_doi | 10.1115/1.2928751 10.1006/jfls.1995.1030 10.1016/S0022-460X(81)80005-3 10.1115/1.3265706 10.1115/1.2929583 10.2172/6871478 10.1115/1.3254791 10.1299/kikaic.52.252 10.1115/1.3269073 10.1299/kikaic.52.2790 10.1115/1.2929258 10.1115/1.3689137 |
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References | ISHII, M. 1977, One-dimensional drift–flux model and constitutive equations for relative motion between phases in various two-phase flow regimes, ANL-77–47 HARA (RF7) 1993 ZUBER, FINDLAY (RF20) 1965; 87 AXISA, VILLARD, GIBERT, HETSRONI, SUNDHEIMER (RF1) 1984 NAKAMURA, YAMAGUCHI, TSUGE, FUJITA, SAKATA, SAITO (RF14) 1986; 52-473 NAKAMURA, FUJITA, KAWANISHI (RF12) 1992; 114 PETTIGREW, TAYLOR, KIM (RF17) 1989; 111 BAJ, PAYAN, DE LANGRE (RF2) 2002 INADA, KAWAMURA, YASUO (RF9) 1996; 328 INADA, KAWAMURA, YASUO (RF10) 1997; 53-2 NAKAMURA, FUJITA, KAWANISHI, YAMAGUCHI, TSUGE (RF15) 1995; 9 TANAKA, TAKAHARA (RF19) 1981; 77 CHEN (RF5) 1991; 113 NAKAMURA, FUJITA, KAWANISHI, SAITO (RF13) 1986; 52–483 PETTIGREW, TROMP, TAYLOR, KIM (RF18) 1989; 111 CARLUCCI, BROWN (RF4) 1983; 105 CONNORS (RF6) 1970 CARLUCCI (RF3) 1980; 102 HARA, F. KOHGO, O. 1986, Numerical approach to added mass and damping of a vibrating circular cylinder in a two-phase bubble fluid, Proceedings of the International Conference on Computational Mechanics, 2, VII255, 260 PETTIGREW, TAYLOR (RF16) 1994; 116 INADA (10.1006/jfls.2002.0460_RF10) 1997; 53-2 NAKAMURA (10.1006/jfls.2002.0460_RF14) 1986; 52-473 10.1006/jfls.2002.0460_RF8 CHEN (10.1006/jfls.2002.0460_RF5) 1991; 113 CARLUCCI (10.1006/jfls.2002.0460_RF4) 1983; 105 PETTIGREW (10.1006/jfls.2002.0460_RF18) 1989; 111 PETTIGREW (10.1006/jfls.2002.0460_RF17) 1989; 111 AXISA (10.1006/jfls.2002.0460_RF1) 1984 NAKAMURA (10.1006/jfls.2002.0460_RF12) 1992; 114 PETTIGREW (10.1006/jfls.2002.0460_RF16) 1994; 116 BAJ (10.1006/jfls.2002.0460_RF2) 2002 10.1006/jfls.2002.0460_RF11 INADA (10.1006/jfls.2002.0460_RF9) 1996; 328 CARLUCCI (10.1006/jfls.2002.0460_RF3) 1980; 102 TANAKA (10.1006/jfls.2002.0460_RF19) 1981; 77 NAKAMURA (10.1006/jfls.2002.0460_RF13) 1986; 52–483 ZUBER (10.1006/jfls.2002.0460_RF20) 1965; 87 HARA (10.1006/jfls.2002.0460_RF7) 1993 CONNORS (10.1006/jfls.2002.0460_RF6) 1970 NAKAMURA (10.1006/jfls.2002.0460_RF15) 1995; 9 |
References_xml | – start-page: 269 year: 1984 end-page: 284 ident: RF1 article-title: Vibration of tube bundles subjected to air-water and steam–water cross-flow: preliminary results on fluid elastic instability publication-title: Symposium on Flow-Induced Vibrations, Vol. 2: Vibration of Arrays of Cylinders in Cross-Flow contributor: fullname: SUNDHEIMER – volume: 77 start-page: 19 year: 1981 end-page: 37 ident: RF19 article-title: Flow-induced vibration of tube array in cross flow publication-title: Journal of Sound and Vibration contributor: fullname: TAKAHARA – volume: 111 start-page: 466 year: 1989 end-page: 477 ident: RF18 article-title: Vibration of tube bundles in two-phase cross-flow—Part 1; hydrodynamic mass and damping publication-title: Journal of Pressure Vessel Technology contributor: fullname: KIM – volume: 53-2 start-page: 357 year: 1997 end-page: 364 ident: RF10 article-title: Fluidelastic force measurements acting on a tube bundle in two-phase cross flow, fluidelastic forces acting on the oscillated tube and tubes surrounding the oscillated tube publication-title: Proceedings of the 4th International Symposium of Fluid–Structure Interactions, Aeroelasticity, Flow-Induced Vibration and Noise contributor: fullname: YASUO – year: 1993 ident: RF7 publication-title: A review of damping of two-phase flows. Proceeding of the ASME PVP Conference, Seismic Engineering contributor: fullname: HARA – volume: 105 start-page: 83 year: 1983 end-page: 89 ident: RF4 article-title: Experimental studies of damping and hydrodynamic mass of a cylinder in confined two-phase flow publication-title: ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design contributor: fullname: BROWN – year: 2002 ident: RF2 article-title: Scaling of damping induced by bubbly flow across tubes publication-title: Journal of Fluids and Structures contributor: fullname: DE LANGRE – volume: 113 start-page: 234 year: 1991 end-page: 241 ident: RF5 article-title: Flow-induced vibrations in two-phase flow publication-title: ASME Journal of Pressure Vessel Technology contributor: fullname: CHEN – volume: 102 start-page: 597 year: 1980 end-page: 602 ident: RF3 article-title: Damping and hydrodynamic mass of a cylinder in simulated two-phase flow publication-title: ASME Journal of Mechanical Design contributor: fullname: CARLUCCI – volume: 52–483 start-page: 2790 year: 1986 end-page: 2795 ident: RF13 article-title: Study on flow induced vibration of a tube array by a two-phase flow—2nd report: large amplitude vibration by steam–water flow publication-title: Transactions of the Japanese Society of Mechanical Engineers C contributor: fullname: SAITO – volume: 328 start-page: 81 year: 1996 end-page: 87 ident: RF9 article-title: Fluidelastic force measurements acting on a tube bundle in two-phase cross flow publication-title: Proceedings of the ASME PVP Conference, Flow-Induced Vibration contributor: fullname: YASUO – volume: 114 start-page: 479 year: 1992 end-page: 485 ident: RF12 article-title: Study on the vibrational characteristics of a tube array caused by two-phase flow—Part 2, Fluid elastic vibration publication-title: ASME Journal of Pressure Vessel Technology contributor: fullname: KAWANISHI – volume: 116 start-page: 233 year: 1994 end-page: 253 ident: RF16 article-title: Two-phase flow-induced vibration: An overview publication-title: Journal of Pressure Vessel Technology contributor: fullname: TAYLOR – volume: 111 start-page: 478 year: 1989 end-page: 487 ident: RF17 article-title: Vibration of tube bundles in two-phase cross-flow—Part 2: Fluidelastic instability publication-title: ASME Journal of Pressure Vessel Technology contributor: fullname: KIM – volume: 52-473 start-page: 252 year: 1986 end-page: 257 ident: RF14 article-title: Study on flow induced vibration of a tube array by a two-phase flow—1st report; large amplitude vibration by air-water flow publication-title: Transactions of the Japanese Society of Mechanical Engineers C contributor: fullname: SAITO – volume: 9 start-page: 539 year: 1995 end-page: 562 ident: RF15 article-title: Study on the vibrational characteristics of a tube array caused by two-phase flow. Part II. Fluid elastic vibration publication-title: Journal of Fluids and Structures contributor: fullname: TSUGE – start-page: 42 year: 1970 end-page: 47 ident: RF6 article-title: Fluidelastic vibration of tube arrays excited by cross flow publication-title: Flow-Induced Vibration of Heat Exchangers contributor: fullname: CONNORS – volume: 87 start-page: 453 year: 1965 end-page: 468 ident: RF20 article-title: Average volumetric concentration in two-phase flow systems publication-title: Journal of Heat Transfer contributor: fullname: FINDLAY – volume: 53-2 start-page: 357 year: 1997 ident: 10.1006/jfls.2002.0460_RF10 article-title: Fluidelastic force measurements acting on a tube bundle in two-phase cross flow, fluidelastic forces acting on the oscillated tube and tubes surrounding the oscillated tube contributor: fullname: INADA – volume: 113 start-page: 234 year: 1991 ident: 10.1006/jfls.2002.0460_RF5 article-title: Flow-induced vibrations in two-phase flow publication-title: ASME Journal of Pressure Vessel Technology doi: 10.1115/1.2928751 contributor: fullname: CHEN – volume: 9 start-page: 539 year: 1995 ident: 10.1006/jfls.2002.0460_RF15 article-title: Study on the vibrational characteristics of a tube array caused by two-phase flow. Part II. Fluid elastic vibration publication-title: Journal of Fluids and Structures doi: 10.1006/jfls.1995.1030 contributor: fullname: NAKAMURA – volume: 77 start-page: 19 year: 1981 ident: 10.1006/jfls.2002.0460_RF19 article-title: Flow-induced vibration of tube array in cross flow publication-title: Journal of Sound and Vibration doi: 10.1016/S0022-460X(81)80005-3 contributor: fullname: TANAKA – volume: 111 start-page: 466 year: 1989 ident: 10.1006/jfls.2002.0460_RF18 article-title: Vibration of tube bundles in two-phase cross-flow—Part 1; hydrodynamic mass and damping publication-title: Journal of Pressure Vessel Technology doi: 10.1115/1.3265706 contributor: fullname: PETTIGREW – year: 2002 ident: 10.1006/jfls.2002.0460_RF2 article-title: Scaling of damping induced by bubbly flow across tubes publication-title: Journal of Fluids and Structures contributor: fullname: BAJ – volume: 116 start-page: 233 year: 1994 ident: 10.1006/jfls.2002.0460_RF16 article-title: Two-phase flow-induced vibration: An overview publication-title: Journal of Pressure Vessel Technology doi: 10.1115/1.2929583 contributor: fullname: PETTIGREW – volume: 328 start-page: 81 year: 1996 ident: 10.1006/jfls.2002.0460_RF9 article-title: Fluidelastic force measurements acting on a tube bundle in two-phase cross flow contributor: fullname: INADA – volume: 111 start-page: 478 year: 1989 ident: 10.1006/jfls.2002.0460_RF17 article-title: Vibration of tube bundles in two-phase cross-flow—Part 2: Fluidelastic instability publication-title: ASME Journal of Pressure Vessel Technology doi: 10.1115/1.3265706 contributor: fullname: PETTIGREW – ident: 10.1006/jfls.2002.0460_RF11 doi: 10.2172/6871478 – start-page: 42 year: 1970 ident: 10.1006/jfls.2002.0460_RF6 article-title: Fluidelastic vibration of tube arrays excited by cross flow contributor: fullname: CONNORS – start-page: 269 year: 1984 ident: 10.1006/jfls.2002.0460_RF1 article-title: Vibration of tube bundles subjected to air-water and steam–water cross-flow: preliminary results on fluid elastic instability contributor: fullname: AXISA – volume: 102 start-page: 597 year: 1980 ident: 10.1006/jfls.2002.0460_RF3 article-title: Damping and hydrodynamic mass of a cylinder in simulated two-phase flow publication-title: ASME Journal of Mechanical Design doi: 10.1115/1.3254791 contributor: fullname: CARLUCCI – volume: 52-473 start-page: 252 year: 1986 ident: 10.1006/jfls.2002.0460_RF14 article-title: Study on flow induced vibration of a tube array by a two-phase flow—1st report; large amplitude vibration by air-water flow publication-title: Transactions of the Japanese Society of Mechanical Engineers C doi: 10.1299/kikaic.52.252 contributor: fullname: NAKAMURA – volume: 105 start-page: 83 year: 1983 ident: 10.1006/jfls.2002.0460_RF4 article-title: Experimental studies of damping and hydrodynamic mass of a cylinder in confined two-phase flow publication-title: ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design doi: 10.1115/1.3269073 contributor: fullname: CARLUCCI – ident: 10.1006/jfls.2002.0460_RF8 – volume: 52–483 start-page: 2790 year: 1986 ident: 10.1006/jfls.2002.0460_RF13 article-title: Study on flow induced vibration of a tube array by a two-phase flow—2nd report: large amplitude vibration by steam–water flow publication-title: Transactions of the Japanese Society of Mechanical Engineers C doi: 10.1299/kikaic.52.2790 contributor: fullname: NAKAMURA – volume: 114 start-page: 479 year: 1992 ident: 10.1006/jfls.2002.0460_RF12 article-title: Study on the vibrational characteristics of a tube array caused by two-phase flow—Part 2, Fluid elastic vibration publication-title: ASME Journal of Pressure Vessel Technology doi: 10.1115/1.2929258 contributor: fullname: NAKAMURA – year: 1993 ident: 10.1006/jfls.2002.0460_RF7 contributor: fullname: HARA – volume: 87 start-page: 453 year: 1965 ident: 10.1006/jfls.2002.0460_RF20 article-title: Average volumetric concentration in two-phase flow systems publication-title: Journal of Heat Transfer doi: 10.1115/1.3689137 contributor: fullname: ZUBER |
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Snippet | A tube in a square tube bundle of
P/D=1·42 was oscillated in the lift direction in air–water two-phase cross-flow, and fluidelastic forces acting on the... A tube in a square tube bundle of P/D = 1 * 42 was oscillated in the lift direction in air-water two-phase cross-flow, and fluidelastic forces acting on the... |
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