Gradually Varied Flow in a Trapezoidal Channel, towards a Hydraulics with Fractional Calculation and Finite Differences
Several engineering problems involve use a derivative of a function; in recent years, physical phenomena have been reviewed are traditionally considered to be derived with an integer order in their mathematical models, instead derived with fractional order. Gradually varied flow evaluation profile i...
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Published in | Hidraulica no. 1; pp. 40 - 46 |
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Main Authors | , , , , , , , |
Format | Journal Article |
Language | English |
Published |
Bucuresti
Hidraulica
01.01.2020
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Subjects | |
Online Access | Get full text |
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Summary: | Several engineering problems involve use a derivative of a function; in recent years, physical phenomena have been reviewed are traditionally considered to be derived with an integer order in their mathematical models, instead derived with fractional order. Gradually varied flow evaluation profile in a freesurface channel is traditionally resolved with differential calculus and integer derivatives solved with finite difference schemes. In this work, equations were obtained relate derivatives of half order derivative of first order for different algebraic functions, resulting in polynomial type models; since there is a proportion between first derivative with derivatives of fractional order through these expressions and observing flow profiles can adjust a y(x) function approximately polynomial it is established various tests must be done to approximate to gradually varied flow equation solution help fractional differential equations can be solved through fractional finite differences. |
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ISSN: | 1453-7303 2343-7707 |