Hydraulic geometry and the nonlinearity of the network instantaneous response

Kyungrock Paik, Praveen Kumar

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 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.

Original languageEnglish
JournalWater Resources Research
Volume40
Issue number3
Publication statusPublished - 2004 Mar 1
Externally publishedYes

Fingerprint

nonlinearity
Rain
fluid mechanics
Hydraulics
hydraulics
geometry
rainfall
Geometry
rain
basins
Runoff
basin
Flow velocity
Catchments
flow velocity
runoff
rate

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

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

In: Water Resources Research, Vol. 40, No. 3, 01.03.2004.

Research output: Contribution to journalArticle

@article{52be90c6b4b64caf8abcc03b706f5b1e,
title = "Hydraulic geometry and the nonlinearity of the network instantaneous response",
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 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.",
keywords = "Hydraulic geometry, Instantaneous response function, Kinematic dispersion, Nonlinearity",
author = "Kyungrock Paik and Praveen Kumar",
year = "2004",
month = "3",
day = "1",
language = "English",
volume = "40",
journal = "Water Resources Research",
issn = "0043-1397",
publisher = "American Geophysical Union",
number = "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 -