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Transient modeling of a salt gradient solar pond using a hybrid Finite-Volume and Cascaded Lattice-Boltzmann method: Thermal characteristics and stability analysis

机译:有限体积和级联Lattice-Boltzmann方法混合的盐梯度太阳能池的瞬态建模:热特性和稳定性分析

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摘要

A two-dimensional numerical model is developed to simulate the behavior of a salt gradient solar pond (SGSP) of 1 x 1 x 1 m(3). The numerical code takes into consideration double-diffusive convection in the pond, solar radiation absorption through the horizontal fluid layers, and allows an appropriate treatment of the boundary conditions at the water free surface. The transient evolution of the SGSP covers the first 5 days of July 2011 under weather conditions of Marrakesh Morocco. The study aims to investigate qualitative and quantitative thermal performances of the considered pond. In addition, a stability analysis of the intermediate non-convective zone (NCZ) of the pond is performed. Flow velocities are solved using the Lattice-Boltzmann method with the Cascaded Multi-Relaxation-Time scheme (CMRT-LBM) while both temperature and salt concentration fields are computed by the Finite Volume (FV) approach. The obtained results show that the mean temperature in the heat storage zone (HSZ) increases each day with a rate around 5 degrees C. In the absence of heat extraction, the daily amount of energy accumulated in both heat storage zone and non-convective zone increases linearly during the simulation period to reach respectively 11.3 kWh and 5.9 kWh at the end of the simulation. The present study confirms the substantial capacity of storage in the SGSP and the ability of the elaborated model to describe the erosion of the non-convective zone by predicting the motion of its limiting interfaces.
机译:开发了一个二维数值模型,以模拟1 x 1 x 1 m(3)的盐梯度太阳池(SGSP)的行为。该数字代码考虑了池塘中的双扩散对流,通过水平流体层吸收的太阳辐射,并允许对无水表面的边界条件进行适当处理。在马拉喀什摩洛哥的天气条件下,SGSP的短暂演变涵盖了2011年7月的前5天。该研究旨在调查所考虑池塘的定性和定量热性能。此外,对池塘的中间非对流区(NCZ)进行了稳定性分析。使用Lattice-Boltzmann方法和级联多松弛时间方案(CMRT-LBM)求解流速,而温度和盐浓度场均通过​​有限体积(FV)方法计算。获得的结果表明,储热区(HSZ)的平均温度每天以5摄氏度左右的速率增加。在没有吸热的情况下,在储热区和非对流区中每天积累的能量数量在仿真期间线性增加,在仿真结束时分别达到11.3 kWh和5.9 kWh。本研究证实了SGSP中的大量存储能力,以及通过预测非对流层限制界面的运动来描述非对流层侵蚀的详尽模型的能力。

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