### Abstract

We postulate that the spatial variability in flow velocity in a basin, arising from the systematic downstream variation of celerity, may explain the observed nonlinear rainfall-runoff relationships. This is based on the argument that different rainfall excess rates will produce different velocity fields in a basin due to the nonlinear relation between velocity and flow. In particular, we show that if the mean velocity V varies with flow Q as V ∝ Q ^{m}, then the time to peak t_{p} and the peak f(t_{p}) of the network instantaneous response function (IRF) vary as t_{p} ∝ i_{e}
^{-m} and f(t_{p}) ∝ i_{e} ^{+m}, where i_{e} is the rainfall excess rate.

Original language | English |
---|---|

Journal | Water Resources Research |

Volume | 40 |

Issue number | 3 |

Publication status | Published - 2004 Mar 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- Hydraulic geometry
- Instantaneous response function
- Kinematic dispersion
- Nonlinearity

### ASJC Scopus subject areas

- Environmental Science(all)
- Environmental Chemistry
- Aquatic Science
- Water Science and Technology

### Cite this

*Water Resources Research*,

*40*(3).

**Hydraulic geometry and the nonlinearity of the network instantaneous response.** / Paik, Kyungrock; Kumar, Praveen.

Research output: Contribution to journal › Article

*Water Resources Research*, vol. 40, no. 3.

}

TY - JOUR

T1 - Hydraulic geometry and the nonlinearity of the network instantaneous response

AU - Paik, Kyungrock

AU - Kumar, Praveen

PY - 2004/3/1

Y1 - 2004/3/1

N2 - We postulate that the spatial variability in flow velocity in a basin, arising from the systematic downstream variation of celerity, may explain the observed nonlinear rainfall-runoff relationships. This is based on the argument that different rainfall excess rates will produce different velocity fields in a basin due to the nonlinear relation between velocity and flow. In particular, we show that if the mean velocity V varies with flow Q as V ∝ Q m, then the time to peak tp and the peak f(tp) of the network instantaneous response function (IRF) vary as tp ∝ ie -m and f(tp) ∝ ie +m, where ie is the rainfall excess rate.

AB - We postulate that the spatial variability in flow velocity in a basin, arising from the systematic downstream variation of celerity, may explain the observed nonlinear rainfall-runoff relationships. This is based on the argument that different rainfall excess rates will produce different velocity fields in a basin due to the nonlinear relation between velocity and flow. In particular, we show that if the mean velocity V varies with flow Q as V ∝ Q m, then the time to peak tp and the peak f(tp) of the network instantaneous response function (IRF) vary as tp ∝ ie -m and f(tp) ∝ ie +m, where ie is the rainfall excess rate.

KW - Hydraulic geometry

KW - Instantaneous response function

KW - Kinematic dispersion

KW - Nonlinearity

UR - http://www.scopus.com/inward/record.url?scp=2042487213&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2042487213&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:2042487213

VL - 40

JO - Water Resources Research

JF - Water Resources Research

SN - 0043-1397

IS - 3

ER -