Litcius/Paper detail

Applications of Fractional Partial Differential Equations for MHD Casson Fluid Flow with Innovative Ternary Nanoparticles

Muhammad Imran Asjad, Rizwan Karim, Abid Hussanan, Azhar Iqbal, Sayed M. Eldin

2023Processes20 citationsDOIOpen Access PDF

Abstract

This study deals with the modeling issues of the transport problem with a fractional operator. The fractional model with generalized Fourier’s law is discussed for Casson fluid flow over a flat surface. The dimensionless governing model is solved with the Laplace transform method, and the different comparisons are plotted from the obtained solutions. Other features of the problem have been analyzed instead of the symmetric behavior of the properties for different values of the fractional parameter. As a result, the ternary nanoparticles approach can be used to improve the fluid properties better than hybrid and mono nanoparticles. Further, it is evident that the law-based fractional model is more accurate and efficient in fitting any experimental data instead of an artificial replacement.

Topics & Concepts

Ternary operationLaplace transformDimensionless quantityFractional calculusPartial differential equationFlow (mathematics)Fourier transformMathematicsNanoparticleMaterials scienceMathematical analysisApplied mathematicsMechanicsPhysicsComputer scienceNanotechnologyProgramming languageNanofluid Flow and Heat TransferFractional Differential Equations SolutionsDifferential Equations and Numerical Methods