| 复杂枝状管网内不稳定流动数学模型的广义解 |
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| 引用本文： | 吴小庆 江茂泽,曾自强.复杂枝状管网内不稳定流动数学模型的广义解[J].西南石油大学学报（自然科学版）,1991,13(4):124-131. |
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| 作者姓名： | 吴小庆 江茂泽 曾自强 |
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| 作者单位： | 1.基础部;2.油建系 |
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| 摘 要： | 考虑复杂枝状管网系统內不稳定流动,建立起压力分布的偏微分方程组的初边值问题的数学模型,利用线性算子半群方法得到了问题解存在唯一的结论,并利用算子级数法得到了问題的广义解。
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| 关 键 词： | 管网设计 数学模型 不稳定流动 偏微分方程组 广义解 |
| 收稿时间： | 1990-12-17 |
WIDE-SENSE SOLUTION OF TRANSIENT FLOW MATHEMATICAL MODEL OF COMPLEX BRANCH-LIKE PIPELINE NETWORK |
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| Wu Xiao-qing Jiang Mao-ze,Zeng Zi-qiang.WIDE-SENSE SOLUTION OF TRANSIENT FLOW MATHEMATICAL MODEL OF COMPLEX BRANCH-LIKE PIPELINE NETWORK[J].Journal of Southwest Petroleum University(Seience & Technology Edition),1991,13(4):124-131. |
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| Authors: | Wu Xiao-qing Jiang Mao-ze Zeng Zi-qiang |
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| Institution: | 1.Dept. of Basic Courses;2.Dept; of offshore oil Engineering） |
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| Abstract: | Considering the realistic transient flow in complex branch-like pipeline network, we have presented for the first time the mathematical model of initial-boundary value problem in the system of partial differential equations of pressure distribution. We have proved the solution of the initial-boundary value problem to be existent and unique by the semigroup theory of linear operators, and obtained the wide-sense solution by the operator series method. |
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| Keywords: | Network design Mathematical model Transient flow partial defferential equations Wide-sense solution |
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