Dimensional Analysis Relationships of Streambank Erosion Rates

Abstract

Bank erosion is commonly associated with river meandering initiation and development, through width adjustment and planform evolution. It consists of two types of erosion processes; basal erosion due to fluvial hydraulic force and bank failure under the influence of gravity. Most of the studies only focused on one factor rather than integrating both factors. Evidences of previous works have shown integration between both processes of fluvial hydraulic force and bank failure. Bank failure seldom treated as a probabilistic phenomenon without assessing the physical characteristics and the geotechnical aspects of the bank. Thus, the objective of this paper is to investigate factors governing streambank erosion process and to perform a dimensional analysis considering the physical characteristics of both processes namely fluvial erosion and mass failure and their interaction.

Dimensional Analysis to Estimate the Unsaturated Hydraulic Conductivity of a Sandy Loam Soil in the Agricultural Field

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“…The Buckingham Pi theorem is a process for defining dimensionless groups from a selection of variables. If the equation f(q1, q2, q3,..) = 0 has no shortage, then the answer has the form f(π1, π2, π3, … πnk) = 0, wherever the π relations are independent yields of the variables q1, q2, q3, etc., and are dimensionless in the fundamental dimensions (Saadon et al, 2016). To express this differently, a full-dimensional homogeneous equation, relating to the n number of physical quantities that can be expressed in terms of k fundamental quantities, is reduced to a functional relationship between the n-k dimensionless products.…”

Anthropogenic and environmental impacts on the recent morphological degradation of the meandering Hornád River

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