丁法龙, 茅泽育, 王文娥, 韩凯. 滴灌管主流道沿程压力分布模型及验证[J]. 农业工程学报, 2019, 35(3): 117-124. DOI: 10.11975/j.issn.1002-6819.2019.03.015
    引用本文: 丁法龙, 茅泽育, 王文娥, 韩凯. 滴灌管主流道沿程压力分布模型及验证[J]. 农业工程学报, 2019, 35(3): 117-124. DOI: 10.11975/j.issn.1002-6819.2019.03.015
    Ding Falong, Mao Zeyu, Wang Wen'e, Han Kai. Modelling and verification of pressure distribution along mainstream in drip irrigation pipe[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2019, 35(3): 117-124. DOI: 10.11975/j.issn.1002-6819.2019.03.015
    Citation: Ding Falong, Mao Zeyu, Wang Wen'e, Han Kai. Modelling and verification of pressure distribution along mainstream in drip irrigation pipe[J]. Transactions of the Chinese Society of Agricultural Engineering (Transactions of the CSAE), 2019, 35(3): 117-124. DOI: 10.11975/j.issn.1002-6819.2019.03.015

    滴灌管主流道沿程压力分布模型及验证

    Modelling and verification of pressure distribution along mainstream in drip irrigation pipe

    • 摘要: 为揭示滴灌管的沿程流动特性,简化滴灌水力计算,分析了能量方程应用于滴灌管水力计算的局限性,并以质量守恒和动量守恒定理为依据,建立了以滴灌管为典型的变质量流动数学模型,并结合测压试验数据,获得了滴灌管主流道沿程压力分布表达式。变质量流动的动量方程表明:多孔管路主流道压力变化取决于摩阻项和动量交换项两部分,沿程压力分布的具体形式取决于二者作用的相对强弱,滴灌管压力分布归结为求解滴灌管轴向流速分布、摩阻系数和动量交换系数,动量方程建立的合理之处在于不必追究其详细机制,将复杂的流动机理进行了合理概化。测压-测流试验表明:滴灌管轴向流速分布指数与滴头自身特性参数无关,而与滴头安装个数呈线性关系。基于理论分析和试验数据回归得到了动量交换系数的表达式,并结合Blasius摩阻公式进行方程求解,压力计算值与实测值吻合良好,最大相对误差为4.27%。该文可为滴灌管水力计算及多孔管水动力学研究提供一定参考。

       

      Abstract: Abstract: Irrigation uniformity is the core evaluation index of drip irrigation. The influence factors of irrigation uniformity include pressure along mainstream way, emitter manufacturing deviation and emitter clogging, etc., but the leading factor is the longitudinal pressure distribution. Therefore, calculation of pressure is prerequisite for hydraulic design of drip irrigation system, and it is also the most basic problem for the study of drip irrigation hydraulics. Scholars at home and abroad have done a lot of research on this problem. According to the author's references, all the past research results were based on the energy conservation law, researchers mainly calculated the frictional head loss to determine the pressure distribution along drip irrigation pipe, and the friction resistance was the default for the only factor affecting the pressure distribution. However, this method neglects the energy of the fluid flowing through sidewards orifices, and it is not completely applicable to the drip irrigation pipe. To reveal the behavior of variable mass flow, and simplify the hydraulic calculation of drip irrigation pipe, this study established the basic equation of variable mass flow based on mass conservation and momentum conservation theories, and thus developed an analytical model of pressure distribution along mainstream in drip irrigation pipe. Momentum equation of variable mass flow is clearer in physical meaning, and it does not require to investigate the complex flow mechanism in detail, but rather rationally simplify uncertain factors. The developed model shows longitudinal pressure profile in drip irrigation pipe is determined by the friction loss and the momentum exchange, the friction loss tends to decrease the pressure while the momentum exchange just the opposite. The solution of pressure in mainstream way is attributed to determination of friction coefficient and momentum exchange factor. The friction coefficient of drip irrigation pipes could be determined by Blasius resistance formula, according to many existing research conclusions. Function form of momentum exchange factor was qualitatively analyzed, and it was represented by area contraction ratio caused by in-line emitters and relative axial location. A series of indoor pressure tests were performed on 6 types of drip irrigation pipes with different lengths, different emitter spaces and different operating pressures. According to the test result, axial velocity distribution index was obtained by regression, and variance analysis of 2 factors was performed, 2 possible influencing factors were emitter type and number of emitters. Variance analysis results showed that at a significance level of 5%, emitter types did not have a significant impact on axial velocity distribution index, meaning that with the condition of same number of emitters, axial velocity distribution indexes of different emitter types had no significant statistical differences. However, test results showed axial velocity distribution index was linearly dependent on number of emitters. Empirical expression of momentum exchange factor was regressed. Combined with the Blasius formula, the momentum equation of variable mass flow was solved, and pressure distribution along main stream in drip irrigation pipe was obtained. Calculated values of longitudinal pressure agreed well with measured values among all cases, and the maximum relative error was 4.27%. Although drip irrigation has been widely applied, research of flow characteristics in drip irrigation pipe is still inadequate, corresponding hydraulic calculations tend to mechanically adopt old methods, regardless of the applicability. This study offers a idea for hydraulic calculation of drip irrigation, the results will provide scientific evidence not only for structural and operational optimization of drip irrigation, but also for hydrodynamics study of multiple outlet pipes. What needs to be improved is the obtained pressure distribution model is not simple enough, so further research should perfect the flow mechanism, and measure relevant parameters more widely to simplify the current model.

       

    /

    返回文章
    返回