Overland Plane Research Articles

Influence of upstream inflow on wave celerity and time to equilibrium on an overland plane

Abstract Based on the kinematic wave equations, formulae for the wave celerity along an overland plane subject to uniform rainfall excess and with a constant upstream inflow together with the corresponding average wave celerity and time to equilibrium for the entire plane are derived. The formulae are further developed in terms of both the Darcy-Weisbach resistance coefficient and the Manning resistance coefficient. By comparing the wave celerities, the average wave celerities and the time to equilibrium for planes with and without upstream inflow show that the upstream inflow causes the wave celerity and the average wave celerity to be faster and the times to equilibrium to be shorter. The effect of upstream inflow is greater with increasing inflow, but the marginal effect decreases with increasing inflow. The effect is greatest for laminar flow and least for turbulent flow. For the wave celerity, the effect is also greatest at the upstream end of the plane and least at the downstream end of the plane.

TECHNICAL NOTE Time of concentration formulae for planes with upstream inflow

Due to changes in physical characteristics, the valley side of a drainage basin may be represented by a series of overland planes. In such a situation, the downstream outflow from one plane becomes the upstream inflow for the subsequent plane. Based on the kinematic wave equations, two time of concentration (time to equilibrium) formulae are derived for planes subject to uniform rainfall excess and with a constant upstream inflow. For practical applications, the formulae are further developed in terms of the Manning resistance coefficient. The derived formulae are all consistent with those published for the case of zero upstream inflow.

Erratum: "Critical Rainfall Duration for Maximum Discharge from Overland Plane" (September, 1993, Vol. 119, No. 9)

Erratum: "Critical Rainfall Duration for Maximum Discharge from Overland Plane" (September, 1993, Vol. 119, No. 9)

Discussion of “ Critical Rainfall Duration for Maximum Discharge from Overland Plane ” by Charng‐Ning Chen and Tommy S. W. Wong (September, 1993, Vol. 119, No. 9)

Discussion of “ <i>Critical Rainfall Duration for Maximum Discharge from Overland Plane</i> ” by Charng‐Ning Chen and Tommy S. W. Wong (September, 1993, Vol. 119, No. 9)

Closure to “ Critical Rainfall Duration for Maximum Discharge from Overland Plane ” by Charng‐Ning Chen and Tommy S. W. Wong (September, 1993, Vol. 119, No. 9)

Closure to “ <i>Critical Rainfall Duration for Maximum Discharge from Overland Plane</i> ” by Charng‐Ning Chen and Tommy S. W. Wong (September, 1993, Vol. 119, No. 9)