THE EFFECTS OF FRICTION AND HEATING OF CONVECTTVE CONDENSATION IN THE BAROCLINIC INSTABILITY PROBLEM

Zheng Weizhong; Yu Zhihao

doi:10.1007/BF02656744

Impact Factor: 5.8

Volume 4 Issue 4

Oct. 1987

Article Contents

Article > ADVANCES IN ATMOSPHERIC SCIENCES > 1987 > 4(4): 447-459

THE EFFECTS OF FRICTION AND HEATING OF CONVECTTVE CONDENSATION IN THE BAROCLINIC INSTABILITY PROBLEM

1.
Department of Atmospheric Sciences, Nanjing University,Department of Atmospheric Sciences, Nanjing University

doi: 10.1007/BF02656744

Abstract
References
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Abstract:
By using the β-plane, two-layer quasi-geostrophic baroclinic model, this paper discusses the baroclinic in-stability problem concerning the effects of friction and heating of convective condensation. By Linear analysis it is shown that the combination of β effect, friction and convective heating brings about the asymmetric phenom-enon of margin curves. The convective heating plays a role in the increased baroclinic instability. As the heating increases (m*→1), the short wave cutoff can increase infinitely. Besides, the numerical integration of the finite-amplitude equations shows that the trajectory on the phase plane oscillates periodically in the case of non-dissipation. When the friction dissipation is considered, the trajectory of phase decays and oscillates to the equilibrium. The stronger convective heating not only makes the unstable wave length shorter and the amplitude of the equilibrium decrease, but also makes multiple equilibrium into single equilibrium.
References

[1]	Luo Zhexian, 1987: ABRUPT CHANGE OF FLOW PATTERN IN BAROCLINIC ATMOSPHERE FORCED BY JOINT EFFECTS OF DIABATIC HEATING AND OROGRAPHY, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 137-144. doi: 10.1007/BF02677060
[2]	Shen Xinyong, Ni Yunqi, Ding Yihui, 2002: On Problem of Nonlinear Symmetric Instability in Zonal Shear Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 350-364. doi: 10.1007/s00376-002-0027-7
[3]	Xiang Jie, Sun Litan, 2002: Nonlinear Saturation of Baroclinic Instability in the Phillips Model: The Case of Energy, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 1079-1090. doi: 10.1007/s00376-002-0066-0
[4]	Yuan-Bing ZHAO, X. San LIANG, 2019: Charney's Model——the Renowned Prototype of Baroclinic Instability——Is Barotropically Unstable As Well, ADVANCES IN ATMOSPHERIC SCIENCES, , 733-752. doi: 10.1007/s00376-019-8189-8
[5]	Li Yang, 2000: Baroclinic Instability in the Generalized Phillips’ Model Part II: Three-layer Model, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 413-432. doi: 10.1007/s00376-000-0033-6
[6]	Li Yang, Mu Mu, 1996: Baroclinic Instability in the Generalized Phillips’ Model Part I: Two-layer Model, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 33-42. doi: 10.1007/BF02657026
[7]	Fei Jianfang, Lu Hancheng, 1996: Study on Instability in Baroclinic Vortex Symmetric Disturbance under Effect of Nonuniform Environmental Parameters, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 461-470. doi: 10.1007/BF03342037
[8]	CHENG Xiaoping, FEI Jianfang, HUANG Xiaogang, ZHENG Jing, 2012: Effects of Sea Spray Evaporation and Dissipative Heating on Intensity and Structure of Tropical Cyclone, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 810-822. doi: 10.1007/s00376-012-1082-3
[9]	Li Guo ping, Lu Jinghua, Jin Bingling, Bu Nima, 2001: The Effects of Anomalous Snow Cover of the Tibetan Plateau on the Surface Heating, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 1207-1214. doi: 10.1007/s00376-001-0034-0
[10]	Jae-Jin KIM, Jong-Jin BAIK, 2005: Physical Experiments to Investigate the Effects of Street Bottom Heating and Inflow Turbulence on Urban Street-Canyon Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 230-237. doi: 10.1007/BF02918512
[11]	Jae-Jin KIM, Jong-Jin BAIK, 2010: Effects of Street-Bottom and Building-Roof Heating on Flow in Three-Dimensional Street Canyons, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 513-527. doi: 10.1007/s00376-009-9095-2
[12]	Wu Rongsheng, 1991: The Surface Friction and the Flow over Mountain, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 272-278. doi: 10.1007/BF02919609
[13]	FANG Juan, TANG Jianping, WU Rongsheng, 2009: The Effect of Surface Friction on the Development of Tropical Cyclones, ADVANCES IN ATMOSPHERIC SCIENCES, 26, 1146-1156. doi: 10.1007/s00376-009-8020-z
[14]	Xia Daqing, Zheng Liangjie, 1986: NUMERICAL SIMULATION OF THE GENERATION OF MESOSCALE CONVECTTVE SYSTEMS IN LARGE－SCALE ENVIRONMENT, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 360-370. doi: 10.1007/BF02678656
[15]	ZHANG Kai, WAN Hui, WANG Bin, ZHANG Meigen, 2008: Consistency Problem with Tracer Advection in the Atmospheric Model GAMIL, ADVANCES IN ATMOSPHERIC SCIENCES, 25, 306-318. doi: 10.1007/s00376-008-0306-z
[16]	Venkat NR. Mukku, 1990: The Ozone, Aerosol Depletion and Condensation Nuclei Events in the Stratosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 192-196. doi: 10.1007/BF02919157
[17]	Fu Yunfei, Han Zhaoyuan, Gong Minwei, 1995: Condensation Induced by Rarefaction Waves and Reflected Rarefaction Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 507-512. doi: 10.1007/BF02657008
[18]	Zhang Xuehong, Zeng Qingcun, Bao Ning, 1986: NONLINEAR BAROCLINIC HAURWITZ WAVES, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 330-340. doi: 10.1007/BF02678653
[19]	Huang Sixun, 1996: Inversion and Ill-Posed Problem Solutions in Atmospheric Remote Sensing, ADVANCES IN ATMOSPHERIC SCIENCES, 13, 489-504. doi: 10.1007/BF03342039
[20]	Xie Zhenghui, Dai Yongjiu, Zeng Qingcun, 1999: An Unsaturated Soil Water Flow Problem and Its Numerical Simulation, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 183-196. doi: 10.1007/BF02973081

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Manuscript History

Manuscript received: 10 October 1987

Manuscript revised: 10 October 1987

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE EFFECTS OF FRICTION AND HEATING OF CONVECTTVE CONDENSATION IN THE BAROCLINIC INSTABILITY PROBLEM

1. Department of Atmospheric Sciences, Nanjing University,Department of Atmospheric Sciences, Nanjing University

Manuscript received: 1987-10-10
Manuscript revised: 1987-10-10

Abstract: By using the β-plane, two-layer quasi-geostrophic baroclinic model, this paper discusses the baroclinic in-stability problem concerning the effects of friction and heating of convective condensation. By Linear analysis it is shown that the combination of β effect, friction and convective heating brings about the asymmetric phenom-enon of margin curves. The convective heating plays a role in the increased baroclinic instability. As the heating increases (m*→1), the short wave cutoff can increase infinitely. Besides, the numerical integration of the finite-amplitude equations shows that the trajectory on the phase plane oscillates periodically in the case of non-dissipation. When the friction dissipation is considered, the trajectory of phase decays and oscillates to the equilibrium. The stronger convective heating not only makes the unstable wave length shorter and the amplitude of the equilibrium decrease, but also makes multiple equilibrium into single equilibrium.