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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Bibliographic Details
Published inHidraulica no. 1; pp. 40 - 46
Main Authors Díaz, Carlos A Santamaría, Juárez, Maritza L Arganis, Hernández, José L Aragón, Alanís, José L Herrera, Rosas, Jesús J Cortés, Cárdenas, Miguel González, Morán, Víctor D Pinilla, Jiménez, Margarita Preciado
Format Journal Article
LanguageEnglish
Published Bucuresti Hidraulica 01.01.2020
Subjects
Computational fluid dynamics
Derivatives
Differential calculus
Differential equations
Finite difference method
Flow equations
Flow profiles
Fluid flow
Functions (mathematics)
Gradually-varied flow
Hydraulics
Integers
Laboratories
Mathematical analysis
Mathematical models
Methods
Numerical analysis
Physical phenomena
Polynomials
Profiles
Software
Trapezoidal channels
Varied flow
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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.
ISSN:1453-7303
2343-7707