WIDE-SENSE SOLUTION OF TRANSIENT FLOW MATHEMATICAL MODEL OF COMPLEX BRANCH-LIKE PIPELINE NETWORK

doi:10.3863/j.issn.1000-2634.1991.04.016

西南石油大学学报(自然科学版) ›› 1991, Vol. 13 ›› Issue (4): 124-131.DOI: 10.3863/j.issn.1000-2634.1991.04.016

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WIDE-SENSE SOLUTION OF TRANSIENT FLOW MATHEMATICAL MODEL OF COMPLEX BRANCH-LIKE PIPELINE NETWORK

Wu Xiao-qing Jiang Mao-ze Zeng Zi-qiang

1 Dept. of Basic Courses;2 Dept; of offshore oil Engineering）

Received:1990-12-17 Revised:1900-01-01 Online:1991-11-20 Published:1991-11-20

Abstract

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.

Key words: Network design, Mathematical model, Transient flow, partial defferential equations, Wide-sense solution

CLC Number:

TE832.2

Wu Xiao-qing Jiang Mao-ze Zeng Zi-qiang. WIDE-SENSE SOLUTION OF TRANSIENT FLOW MATHEMATICAL MODEL OF COMPLEX BRANCH-LIKE PIPELINE NETWORK[J]. 西南石油大学学报(自然科学版), 1991, 13(4): 124-131.

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URL: http://journal15.magtechjournal.com/Jwk_xnzk/EN/10.3863/j.issn.1000-2634.1991.04.016

http://journal15.magtechjournal.com/Jwk_xnzk/EN/Y1991/V13/I4/124

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WIDE-SENSE SOLUTION OF TRANSIENT FLOW MATHEMATICAL MODEL OF COMPLEX BRANCH-LIKE PIPELINE NETWORK

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