Litcius/Paper detail

A novel comparative case study of entropy generation for natural convection flow of proportional-Caputo hybrid and Atangana baleanu fractional derivative

Dolat Khan, Poom Kumam, Wiboonsak Watthayu

2021Scientific Reports37 citationsDOIOpen Access PDF

Abstract

This article focused on the comparative study of entropy generation for natural convection flow of the newly proportional Caputo hybrid and Atangana baleanu fractional derivative. The governing equation is formed as the set of partial differential equations with the physical boundary conditions. The report of entropy generation is investigated for the first time for proportional-Caputo hybrid model and comparison are sorts out with generalized Atangana baleanu fractional derivative. The Bejan number is also compared for the mention fractional derivatives. Graphs show the impact of various factors on the minimization and maximizing of entropy production. The newly proportional Caputo hybrid operator has a good memory effect rather than Atangana baleanu fractional operator.

Topics & Concepts

Fractional calculusEntropy (arrow of time)MathematicsEntropy productionBejan numberOperator (biology)Applied mathematicsBoundary value problemMathematical analysisStatistical physicsMechanicsThermodynamicsPhysicsBiochemistryTurbulenceRepressorTranscription factorReynolds numberNusselt numberGeneChemistryFractional Differential Equations SolutionsNanofluid Flow and Heat TransferDifferential Equations and Numerical Methods