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

Journal Article


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. �� 1992.

UOW Authors


  •   Broadbridge, Philip (external author)

Publication Date


  • 1992

Citation


  • Broadbridge, P., Srivastava, R., & Jim Yeh, T. C. (1992). Burgers' equation and layered media: Exact solutions and applications to soil-water flow. Mathematical and Computer Modelling, 16(11), 163-169. doi:10.1016/0895-7177(92)90112-X

Scopus Eid


  • 2-s2.0-0342857449

Web Of Science Accession Number


Start Page


  • 163

End Page


  • 169

Volume


  • 16

Issue


  • 11

Place Of Publication


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. �� 1992.

UOW Authors


  •   Broadbridge, Philip (external author)

Publication Date


  • 1992

Citation


  • Broadbridge, P., Srivastava, R., & Jim Yeh, T. C. (1992). Burgers' equation and layered media: Exact solutions and applications to soil-water flow. Mathematical and Computer Modelling, 16(11), 163-169. doi:10.1016/0895-7177(92)90112-X

Scopus Eid


  • 2-s2.0-0342857449

Web Of Science Accession Number


Start Page


  • 163

End Page


  • 169

Volume


  • 16

Issue


  • 11

Place Of Publication