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2 results

  • 17 - Principle of Least Action

  • Vijay P. Singh, Texas A & M University
  • Book:
    Handbook of Hydraulic Geometry
    Published online:
    24 November 2022
    Print publication:
    08 December 2022, pp 436-449

  • Summary

    Rivers tend to follow the path of least action for transporting the sediment and water loads imposed on them. Because regime hydraulic geometry relations entail more unknowns than the equations of continuity, resistance, and sediment transport, optimization is utilized to determine the preferred cross-section from among many possible cross-sections and this cross-section satisfies the path of least action. This chapter discusses this principle and derives the hydraulic geometry based on this principle.

Handbook of Hydraulic Geometry
  • Theories and Advances
  • Vijay P. Singh
  • Published online:
    24 November 2022
    Print publication:
    08 December 2022
  • Hydraulic geometry describes the relations between stable channel characteristics and discharge and adjustments made by a stream in response to changes in river discharge and sediment load. This book introduces hydraulic geometry and discusses different theories and their applications in river engineering, thus providing a comprehensive summary for hydraulic engineers, as well as graduate students and researchers in fluvial geomorphology and hydraulic and environmental engineering. Topics covered include the basis of power form of hydraulic geometry relations, validity and stability of power relations, state and assumption of equilibrium, variability of exponents, variation of channel width and velocity, and the effect of stream size and river channel patterns.