Development of an analytical method for estimating Manning’s coefficient of roughness for border irrigation

  • Amin Seyedzadeh
  • Amir Panahi
  • Eisa MaroufpoorEmail author
  • Vijay P. Singh
Original Paper


An analytical relationship was developed for determining Manning’s roughness coefficient (n) for border irrigation. Manning’s n is considered as a function of border length and its value at each point of the border is regarded as a function of the variation in water depth. The proposed relation was evaluated for 12 irrigation events at three farms and using WinSRFR software. Results showed that Manning’s n computed using the proposed relation had an error of less than 2% compared to the coefficient obtained by the WS software. The proposed relation was sensitive to the exponent in Kostiakov–Lewis’s infiltration equation and to inflow into the border.

List of symbols


Constant coefficient


Cross section flow (m2)


Constant coefficient


Border width (m)


Constant coefficient


Constant coefficient


Infiltration depth (m)


Constant coefficient


Border length (m)


An arbitrary parameter


Manning’s coefficient


Inlet flow rate (m3/s)


Flow rate of surface flow in unit width (m3/s m)


Inlet flow rate in unit width (m3/s m) (qo = Q/B)


Flow rate of infiltration in unit width (m3/m s)


Constant coefficient


Hydraulic radius (m)


Energy line slope


Longitudinal slope of the border


Irrigation time (s)


The opportunity of infiltration (s)


Advance time of any point located between the advance front and the beginning of the border (s)


Time of arrival of water to each station (s)


The distance, any point from the beginning of the border (m)


The distance, advance front from the beginning of the border (m)


Water depth at any point


Initial water depth


Compliance with ethical standards

Conflict of interest

All authors declare they have no conflict of interest.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Amin Seyedzadeh
    • 1
  • Amir Panahi
    • 1
  • Eisa Maroufpoor
    • 2
    Email author
  • Vijay P. Singh
    • 3
  1. 1.Department of Irrigation and Reclamation EngineeringUniversity of TehranTehranIran
  2. 2.Department of Water Engineering, Faculty of AgricultureUniversity of KurdistanSanandajIran
  3. 3.Department of Biological and Agricultural Engineering and Zachry Department of Civil EngineeringTexas A&M UniversityTexasUSA

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