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Flow Regime Algorithm (FRA): a physics-based meta-heuristics algorithm

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Abstract

In this research study, a physics-based optimization algorithm, namely Flow Regime Algorithm (FRA) is proposed. The main sources of inspiration are classical fluid mechanics and flow regimes. The flow regime usually is being divided into two categories which are laminar and turbulent flows. Reynolds number is the parameter which defines that the flow regime is laminar or turbulent. In this research study, a similar number to Reynolds has been defined which indicates the search type (global or local) of the algorithm and is called search type factor. For the purpose of developing the local and global searches equations, the concept of boundary layer in fluid mechanics has been used. The performance of the proposed algorithm has been evaluated using 26 benchmark functions and has been compared with seven popular and well-known algorithms which are simulated annealing, particle swarm optimization, firefly algorithm, cuckoo search, flower pollination algorithm, krill herd and monarch butterfly. Finally, the heat wheel optimization problem and horizontal axis marine current turbine (tidal turbine) problem, which are real-case engineering problems, have been solved using FRA. The results indicated that FRA can be a great candidate in solving complex engineering problems.

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Abbreviations

\( D_{\text{h}} \) :

Hydraulic diameter (m)

\( G \) :

Mass flux (kg/s/m2)

\( L \) :

Characteristics length (m)

\( Levy \) :

Generated number using Levy distribution

\( {\text{Maxit}} \) :

Maximum number of iterations

\( {\text{NTU}} \) :

Number of transfer units

\( Rand \) :

Generated number using Gaussian distribution

\( Re \) :

Reynolds number

\( {\text{STF}} \) :

Search type factor

\( V \) :

Velocity (m/s)

\( g \) :

Global best solution

\( h \) :

Channel height (m)

\( \beta \) :

Specific area (m2/m3)

\( \gamma \) :

Scaling factor

\( \delta \) :

Matrix thickness (m)

\( \delta_{\text{L}} \) :

Laminar boundary layer thickness

\( \delta_{\text{T}} \) :

Turbulent boundary layer thickness

\( \varepsilon \) :

Efficiency of heat wheel

\( \mu \) :

Viscosity (Pa s)

\( \rho \) :

Density (kg/m3)

σ :

Porosity

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  1. Faculty of New Sciences and Technologies, University of Tehran, Tehran, Iran

    Mojtaba Tahani & Narek Babayan

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  1. Mojtaba Tahani
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Correspondence to Narek Babayan.

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Tahani, M., Babayan, N. Flow Regime Algorithm (FRA): a physics-based meta-heuristics algorithm. Knowl Inf Syst 60, 1001–1038 (2019). https://doi.org/10.1007/s10115-018-1253-3

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