Burgers' equation and layered media: Exact solutions and applications to soil-water flow

Philip Broadbridge; Rajesh Srivastava; T. C. Jim Yeh

doi:10.1016/0895-7177(92)90112-X

Burgers' equation and layered media: Exact solutions and applications to soil-water flow

Philip Broadbridge, Rajesh Srivastava, T. C. Jim Yeh

Hydrology and Atmospheric Science

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Exact solutions are presented for Burgers' equation in a finite layer connected to an underlying semi-infinite medium of different conductivity and diffusivity. A constant-flux boundary condition is assumed at the surface. This has direct application to steady rainfall on layered field soils. At large times, a travelling wave profile develops in the deep layer and the concentration in the upper layer approaches a non-trivial steady state. Water flux and potential energy are continuous across the interface but the concentration gradient may show a marked discontinuity.

Original language	English (US)
Pages (from-to)	163-169
Number of pages	7
Journal	Mathematical and Computer Modelling
Volume	16
Issue number	11
DOIs	https://doi.org/10.1016/0895-7177(92)90112-X
State	Published - Nov 1992

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

Access to Document

10.1016/0895-7177(92)90112-X

Cite this

@article{8a94410ad18b4737b9b9f9af9b549662,

title = "Burgers' equation and layered media: Exact solutions and applications to soil-water flow",

abstract = "Exact solutions are presented for Burgers' equation in a finite layer connected to an underlying semi-infinite medium of different conductivity and diffusivity. A constant-flux boundary condition is assumed at the surface. This has direct application to steady rainfall on layered field soils. At large times, a travelling wave profile develops in the deep layer and the concentration in the upper layer approaches a non-trivial steady state. Water flux and potential energy are continuous across the interface but the concentration gradient may show a marked discontinuity.",

author = "Philip Broadbridge and Rajesh Srivastava and {Jim Yeh}, {T. C.}",

year = "1992",

month = nov,

doi = "10.1016/0895-7177(92)90112-X",

language = "English (US)",

volume = "16",

pages = "163--169",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier Ltd",

number = "11",

}

TY - JOUR

T1 - Burgers' equation and layered media

T2 - Exact solutions and applications to soil-water flow

AU - Broadbridge, Philip

AU - Srivastava, Rajesh

AU - Jim Yeh, T. C.

PY - 1992/11

Y1 - 1992/11

N2 - Exact solutions are presented for Burgers' equation in a finite layer connected to an underlying semi-infinite medium of different conductivity and diffusivity. A constant-flux boundary condition is assumed at the surface. This has direct application to steady rainfall on layered field soils. At large times, a travelling wave profile develops in the deep layer and the concentration in the upper layer approaches a non-trivial steady state. Water flux and potential energy are continuous across the interface but the concentration gradient may show a marked discontinuity.

AB - Exact solutions are presented for Burgers' equation in a finite layer connected to an underlying semi-infinite medium of different conductivity and diffusivity. A constant-flux boundary condition is assumed at the surface. This has direct application to steady rainfall on layered field soils. At large times, a travelling wave profile develops in the deep layer and the concentration in the upper layer approaches a non-trivial steady state. Water flux and potential energy are continuous across the interface but the concentration gradient may show a marked discontinuity.

UR - http://www.scopus.com/inward/record.url?scp=0342857449&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0342857449&partnerID=8YFLogxK

U2 - 10.1016/0895-7177(92)90112-X

DO - 10.1016/0895-7177(92)90112-X

M3 - Article

AN - SCOPUS:0342857449

SN - 0895-7177

VL - 16

SP - 163

EP - 169

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 11

ER -

Burgers' equation and layered media: Exact solutions and applications to soil-water flow

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this