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2 results

  • 19 - Entropy Theory

  • Vijay P. Singh, Texas A & M University
  • Book:
    Handbook of Hydraulic Geometry
    Published online:
    24 November 2022
    Print publication:
    08 December 2022, pp 470-490

  • Summary

    Hydraulic geometry, described by depth, width, velocity, slope, and friction, is determined using three equations of continuity, resistance, and sediment transport and by satisfying the condition of minimum production of entropy in the channel system. This chapter discusses the methodology based on this condition.

  • 20 - Minimum Energy Dissipation and Maximum Entropy Theory

  • Vijay P. Singh, Texas A & M University
  • Book:
    Handbook of Hydraulic Geometry
    Published online:
    24 November 2022
    Print publication:
    08 December 2022, pp 491-509

  • Summary

    This chapter employs the theory comprising the principle of maximum entropy (POME) and the principle of minimum energy dissipation or its simplified minimum stream power for deriving hydraulic geometry relations. The theory leads to four families of downstream hydraulic geometry relations and eleven families of at-a-station hydraulic geometry relations. The principle of minimum energy dissipation rate states that the spatial variation of the stream power of a channel for a given discharge is accomplished by the spatial variation in channel form (flow depth and channel width) and hydraulic variables, including energy slope, flow velocity, and friction.