马胜利, 魏正英, 张育斌, 陈雪丽, 马超. 用PIV和LBM法检验灌水器设计中连续介质假设的适用性[J]. 农业工程学报, 2017, 33(9): 92-98. DOI: 10.11975/j.issn.1002-6819.2017.09.012
    引用本文: 马胜利, 魏正英, 张育斌, 陈雪丽, 马超. 用PIV和LBM法检验灌水器设计中连续介质假设的适用性[J]. 农业工程学报, 2017, 33(9): 92-98. DOI: 10.11975/j.issn.1002-6819.2017.09.012
    Ma Shengli, Wei Zhengying, Zhang Yubin, Chen Xueli, Ma Chao. Applicability on continuous medium hypothesis in design of emitter using PIV and LBM method[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2017, 33(9): 92-98. DOI: 10.11975/j.issn.1002-6819.2017.09.012
    Citation: Ma Shengli, Wei Zhengying, Zhang Yubin, Chen Xueli, Ma Chao. Applicability on continuous medium hypothesis in design of emitter using PIV and LBM method[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2017, 33(9): 92-98. DOI: 10.11975/j.issn.1002-6819.2017.09.012

    用PIV和LBM法检验灌水器设计中连续介质假设的适用性

    Applicability on continuous medium hypothesis in design of emitter using PIV and LBM method

    • 摘要: 灌水器由于其流道特征尺寸微小,因而在其流道内的流动特性分析中,基于连续性介质假设的Navier-Stokes(NS)方程是否适用一直存在争议。该文从微观角度采用格子Boltzmann方法(lattice Boltzmann method,LBM)研究灌水器的流动特性。首先进行LBM的网格无关性分析,其次将LBM的数值计算结果、传统的基于连续性介质假设下的有限体积法的计算流体动力学(computational fluid dynamics,CFD)计算结果以及粒子图像测速(particle image velocimetry,PIV)试验结果进行对比,分析LBM计算结果与基于CFD结果偏离PIV试验值的相对偏差的算术平均值。结果表明,CFD偏离PIV试验结果的相对偏差的算术平均值为0.139%,而LBM偏离PIV试验的相对偏差的算术平均值为0.115%,两者偏离PIV试验结果的相对偏差的算术平均值比较接近。因此,针对流道特征尺寸为1 mm的灌水器,采用基于连续性介质假设下的流体动力学计算方法来研究是适用的。

       

      Abstract: Abstract: The characteristics of microfluidic devices are different from those of ordinary fluid devices. One of the most important features of microfluidic devices is the decrease of their characteristic scale. This feature leads to a lot of differences in microfluidic device. Two major differences are included. There are the flow law of the fluid and the physical properties of fluid. The flow law of the fluid in a microfluidic device is different from that in an ordinary fluid device. The physical properties of the fluid in a microfluidic device also differ from that in an ordinary fluid device. The emitter channel is small in size from the point view of its width. As a result, the emitter belongs to the microfluidic device. Therefore, the applicability of Navier-Stokes (NS) equations has been controversial in the analysis of the flow characteristics in the emitter channel. In order to verify the suitability of the continuity medium hypothesis in design of the emitter, the lattice Boltzmann method (LBM) was used to study the flow characteristics of the emitter in this paper. The flow rate field on a specific plane obtained by different numerical methods was analyzed. The numerical methods were LBM and the computational fluid dynamics (CFD) method which was based on the finite volume method. The flow rate field obtained by using the two numerical methods was also compared with the experimental results. The flow rate with larger flow rate gradient of the straight line on the specific plane was also compared and analyzed. Firstly, the mesh independent analysis was made in order to guarantee the numerical accuracy of numerical results. Secondly, the numerical results were compared with those obtained by the finite volume method (FVM) based on the assumption of continuous medium. The numerical results were also made a comparison with the particle image velocimetry (PIV) experimental results. The average relative deviations of the results of the LBM calculation from the experimental values of PIV were analyzed. In addition, the average relative errors of the results of the FVM calculation from the experimental values of the PIV were also analyzed. By comparing flow rate contours, the results showed that the overall flow rate field calculated by the LBM in the specified cross section was in good agreement with the flow rate field measurement by the experiment, and the results also showed that the flow rate field calculated by the CFD method in the specified cross section was in good agreement with the flow rate field measurement by the experiment. The flow rate contour which was calculated by the LBM or CFD showed a large flow rate gradient at the corner of the contraction section. Comparing the flow rate on the specified measurement line, CFD reached its maximum flow rate on the measurement line where the distance was 0.482 mm, and the flow rate obtained by using the computational fluid dynamics method which was based on the finite volume method was 1.176 m/s. The flow rate of PIV experimental results was 1.09 m/s. The flow rate obtained by using the LBM reached its maximum value, and the result of the flow rate obtained by using the LBM was 1.06 m/s. Therefore, the relative error of flow rate obtained by using the CFD from the experimental result at 0.482 mm was 7.8%, which was larger than that of LBM which had the relative error of 2.7%. In view of the arithmetic mean of the relative deviation, the results showed that the arithmetic mean of the relative deviation of the CFD deviation from the PIV experiment was 0.139%, while the arithmetic mean of the relative deviation of LBM deviation was 0.115%. The results were very close. Therefore, the computational fluid dynamics method based on the assumption of continuous medium is applicable for analysis of the flow field in the emitter which has the characteristic size of 1 mm.

       

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