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Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates

Muhammad Ikram, Muhammad Imran Asjad, Ali Akgül, Dumitru Bǎleanu

2021Alexandria Engineering Journal97 citationsDOIOpen Access PDF

Abstract

In this paper, it has been discussed the fractional model of Brinkman type fluid (BTF) holding hybrid nanoparticles. Titanium dioxide (TiO2) and silver (Ag) nanoparticles were liquefied in water (H2O) (base fluid) to make a hybrid nanofluid. The magnetohydrodynamic (MHD) free convection flow of the nanofluid (Ag-TiO2-H2O) was measured in a bounded microchannel. The BTF model was generalized using constant proportional Caputo fractional operator (CPC) with effective thermophysical properties. By introducing dimensionless variables, the governing equations of the model were solved by Laplace transform method. The testified outcomes are stated as M-function. The impact of associated parameters were measured graphically using Mathcad and offered a comparison with the existing results from the literature. The effect of related parameters was physically discussed. It was concluded that constant proportional Caputo fractional operator (CPC) showed better memory effect than Caputo-Fabrizio fractional operator (CF) (Saqib et al., 2020).

Topics & Concepts

NanofluidLaplace transformMagnetohydrodynamic driveHeat transferMechanicsConstant (computer programming)Materials scienceDimensionless quantityFlow (mathematics)Fractional calculusMicrochannelMathematicsThermodynamicsMagnetohydrodynamicsApplied mathematicsPhysicsMathematical analysisComputer scienceQuantum mechanicsPlasmaProgramming languageFractional Differential Equations SolutionsNanofluid Flow and Heat TransferDifferential Equations and Numerical Methods
Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates | Litcius