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The budgets of turbulence kinetic energy and heat in the urban roughness sublayer
Environmental Fluid Mechanics ( IF 2.2 ) Pub Date : 2021-06-24 , DOI: 10.1007/s10652-021-09800-x
Amir A. Aliabadi , Mohsen Moradi , Ryan A. E. Byerlay

Quantification of the terms in the transport equations of turbulence kinetic energy k and heat in the real urban roughness sublayer is inherently difficult due to variation of terms with thermal stability, wind speed, wind direction, and horizontal heterogeneity of most urban sites concerning morphometric parameters and land use. There is also a paucity of observations in the real urban environment, specifically pertaining to the heat budget, which motivate such budget analyses to understand the physical processes, inform urban development, and parametrize microclimate models. The budget terms of k and heat in the urban roughness sublayer were quantified using field observations conducted in the Reek Walk, Guelph, Canada, inside a quasi two-dimensional urban canyon located at the University of Guelph, from 15 July 2018 to 5 September 2018. The budget terms were analyzed under four stability classes, from thermally unstable to stable conditions, and under different wind speeds, from very low to high wind speed conditions. The budget terms were further analyzed under varying wind directions in eight sectors with respect to the canyon axis. For k, the budget terms quantified were storage, advection, buoyant production/consumption, shear production/consumption, turbulent transport, and dissipation. It was found that the main transport mechanism for k was driven by the turbulent transport that relocated k from the shear layer above roof (speculated but not measured) to the urban canyon, where it was balanced by shear production/consumption and dissipation terms. The advection term had lower magnitude to other terms but was greater in magnitude than the buoyant production/consumption term. For heat, the budget terms quantified were storage, advection, and flux divergence. It was found that the main transport mechanism for heat was driven by advection, where either warm or cold air masses were transported to the urban canyon depending on wind direction. The advection was found to be balanced by flux divergence. For both k and heat the storage terms were at least one order of magnitude smaller than other budget terms. For k it was found that with decreasing wind speeds, the residual (unexplained) portion of the budget increased, suggesting more difficulties in the Reynolds decomposition approach and budget apportionment in such cases. The findings for the k budget were in agreement with previous studies, while the findings for the heat budget could inspire further investigations. It was noted that the advective transfer mechanisms for heat could be overlooked in simplified urban microclimate models, but such transfer mechanisms need to be accounted for.



中文翻译:

城市粗糙度子层湍流动能和热量收支

由于大多数城市场地的热稳定性、风速、风向和水平异质性有关形态测量参数和水平异质性的项的变化,因此对真实城市粗糙度子层中湍流动能k和热量的传输方程中的项进行量化本身就很困难。土地利用。在真实的城市环境中也缺乏观察,特别是与热预算有关的观察,这促使此类预算分析了解物理过程,为城市发展提供信息,并对小气候模型进行参数化。k的预算条款2018 年 7 月 15 日至 2018 年 9 月 5 日,在加拿大圭尔夫的 Reek Walk,位于圭尔夫大学的准二维城市峡谷内进行的实地观察量化了城市粗糙度子层中的热量和热量。预算条款是分析了四种稳定性等级,从热不稳定到稳定条件,以及在不同风速下,从极低到高风速条件。在相对于峡谷轴的八个扇区的不同风向下进一步分析了预算条款。对于k,量化的预算条款是存储、平流、浮力产生/消耗、剪切产生/消耗、湍流传输和耗散。发现k的主要传输机制由湍流传输驱动,将k从屋顶上方的剪切层(推测但未测量)迁移到城市峡谷,在那里它通过剪切产生/消耗和耗散项进行平衡。平流项的量级低于其他项,但其量级大于活跃的生产/消费项。对于热量,量化的预算条款是存储、平流和通量发散。发现热量的主要传输机制是由平流驱动的,其中暖气或冷气团根据风向被输送到城市峡谷。发现平流被通量发散平衡。对于k和热量,存储项至少比其他预算项小一个数量级。为了k发现随着风速的降低,预算的剩余(无法解释的)部分增加,这表明在这种情况下雷诺分解方法和预算分配更加困难。k预算的结果与之前的研究一致,而热量预算的结果可以激发进一步的研究。有人指出,在简化的城市小气候模型中,热量的平流传递机制可能会被忽略,但需要考虑这种传递机制。

更新日期:2021-06-24
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