The reciprocity principle and an analytical solution for Darcian flow in a network | Zendy

Barker J. A. | Zendy

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The reciprocity principle and an analytical solution for Darcian flow in a network

Author(s) -

Barker J. A.

Publication year - 1991

Publication title -

water resources research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.863

H-Index - 217

eISSN - 1944-7973

pISSN - 0043-1397

DOI - 10.1029/91wr00258

Subject(s) - reciprocity (cultural anthropology) , laplace transform , flow (mathematics) , mathematics , homogeneous , flow network , mathematical optimization , calculus (dental) , mathematical analysis , geometry , combinatorics , medicine , psychology , social psychology , dentistry

A proof is given that the reciprocity principle applies to Darcian flow in a network of heterogeneous branches with either no‐flow or fixed‐head boundary conditions. Formulae are obtained for the Laplace transform of the drawdown in the special case of homogeneous branches; this provides a new method for accurately solving some flow problems in networks.

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