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An Analytical Study on the Urban Boundary Layer


doi: 10.1007/s00376-998-0044-2

  • A two-layer model based on the linearized time-independent atmospheric dynamical equations is proposed in this paper. The analytical solutions of the vertical, the horizontal motions and the potential temperature field induced by the anthropogenic source of urban surface heating are obtained, therefore the heat island circulation existing in unstable boundary layer is verified theoretically. From the analytical solutions, some conclusions can be drawn. (1) The vertical motion induced by urban heat island consists of two parts, namely, the cross-hill wave and the lee wave; (2) The cross-hill wave only exists in the unstable boundary layer, and varies with height according to exponential function law; (3) The vertical motion induced by heat island reaches the maximum at the top of the unstable boundary layer; (4) The wave generated by heat island not only propogates to the downwind district but also travels to the upwind area; (5) is not the necessary condition of the lee wave generation.
  • [1] ZHANG Ning, ZHU Lianfang, ZHU Yan, 2011: Urban Heat Island and Boundary Layer Structures under Hot Weather Synoptic Conditions: A Case Study of Suzhou City, China, ADVANCES IN ATMOSPHERIC SCIENCES, 28, 855-865.  doi: 10.1007/s00376-010-0040-1
    [2] MIAO Shiguang, JIANG Weimei, 2004: Large Eddy Simulation and Study of the Urban Boundary Layer, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 650-661.  doi: 10.1007/BF02915732
    [3] Tang Youhua, Miao Manqian, 1998: Numerical Studies on Urban Heat Island Associated with Urbanization in Yangtze Delta Region, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 393-403.  doi: 10.1007/s00376-998-0009-5
    [4] Heng LYU, Wei WANG, Keer ZHANG, Chang CAO, Wei XIAO, Xuhui LEE, 2024: Factors Influencing the Spatial Variability of Air Temperature Urban Heat Island Intensity in Chinese Cities, ADVANCES IN ATMOSPHERIC SCIENCES.  doi: 10.1007/s00376-023-3012-y
    [5] MA Yaoming, Massimo MENENTI, Reinder FEDDES, 2010: Parameterization of Heat Fluxes at Heterogeneous Surfaces by Integrating Satellite Measurements with Surface Layer and Atmospheric Boundary Layer Observations, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 328-336.  doi: 10.1007/s00376-009-9024-4
    [6] CHEN Longxun, ZHU Wenqin, ZHOU Xiuji, ZHOU Zijiang, 2003: Characteristics of the Heat Island Effect in Shanghai and Its Possible Mechanism, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 991-1001.  doi: 10.1007/BF02915522
    [7] Yu SHI, Qingcun ZENG, Fei HU, Weichen DING, Zhe ZHANG, Kang ZHANG, Lei LIU, 2023: Different Turbulent Regimes and Vertical Turbulence Structures of the Urban Nocturnal Stable Boundary Layer, ADVANCES IN ATMOSPHERIC SCIENCES, 40, 1089-1103.  doi: 10.1007/s00376-022-2198-8
    [8] Samuel S. P. SHEN, Benedikt KRAMPS, Shirley X. SUN, Barbara BAILEY, 2012: An Approach to Quantify the Heat Wave Strength and Price a Heat Derivative for Risk Hedging, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 1-9.  doi: 10.1007/s00376-011-1020-9
    [9] CHEN Jinbei, HU Yinqiao, ZHANG Lei, 2007: Principle of Cross Coupling Between Vertical Heat Turbulent Transport and Vertical Velocity and Determination of Cross Coupling Coefficient, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 89-100.  doi: 10.1007/s00376-007-0089-7
    [10] Bin LIU, Zhenghui XIE, Peihua QIN, Shuang LIU, Ruichao LI, Longhuan WANG, Yan WANG, Binghao JIA, Si CHEN, Jinbo XIE, Chunxiang SHI, 2021: Increases in Anthropogenic Heat Release from Energy Consumption Lead to More Frequent Extreme Heat Events in Urban Cities, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 430-445.  doi: 10.1007/s00376-020-0139-y
    [11] Li Xingsheng, Yang Shuowen, 1986: A MODEL STUDY OF THE NOCTURNAL BOUNDARY LAYER, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 59-71.  doi: 10.1007/BF02680045
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    [15] LING Jian, LI Chongyin, ZHOU Wen, JIA Xiaolong, Chidong ZHANG, 2013: Effect of Boundary Layer Latent Heating on MJO Simulations, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 101-115.  doi: 10.1007/s00376-012-2031-x
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Manuscript History

Manuscript received: 10 April 1998
Manuscript revised: 10 April 1998
通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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An Analytical Study on the Urban Boundary Layer

  • 1. Air Force Institute of Meteorology, Nanjing 211101,Air Force Institute of Meteorology, Nanjing 211101,Air Force Institute of Meteorology, Nanjing 211101

Abstract: A two-layer model based on the linearized time-independent atmospheric dynamical equations is proposed in this paper. The analytical solutions of the vertical, the horizontal motions and the potential temperature field induced by the anthropogenic source of urban surface heating are obtained, therefore the heat island circulation existing in unstable boundary layer is verified theoretically. From the analytical solutions, some conclusions can be drawn. (1) The vertical motion induced by urban heat island consists of two parts, namely, the cross-hill wave and the lee wave; (2) The cross-hill wave only exists in the unstable boundary layer, and varies with height according to exponential function law; (3) The vertical motion induced by heat island reaches the maximum at the top of the unstable boundary layer; (4) The wave generated by heat island not only propogates to the downwind district but also travels to the upwind area; (5) is not the necessary condition of the lee wave generation.

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