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dc.contributor.authorEl-Amin, Mohamed F.
dc.date.accessioned2024-05-26T05:51:18Z
dc.date.available2024-05-26T05:51:18Z
dc.date.issued2024-07-31
dc.identifier.urihttp://hdl.handle.net/20.500.14131/1690
dc.description.abstractAs the primary focus of this book is employing fractional modeling in the study of fluid dynamics and transport phenomena, this chapter presents the basics of fractional modeling of fluid flow. It begins with exploring fractional differential equations and discusses their advantages and challenges. Subsequent sections focus on the derivations of fractional-order formulations for conserving mass and momentum. The chapter also introduces the derivation of the fractional energy conservation equation, including models for heat conduction, heat convection-conduction, and general transport phenomena. Additionally, the discussion extends to fluid flow in porous media, featuring adaptations of Darcy’s Law that incorporate time and space memory effects and address anomalous diffusion processes.en_US
dc.publisherElseiveren_US
dc.subjectFractional Mass Equation, Fractional Momentum Equation, Fractional Energy Equation, Fluid Dynamics, Fractional Differential Equations (FDEs), Anomalous Diffusion, Fractional Heat Conduction, Fractional Heat Convection-Conduction, Fractional Darcy’s Law, Fractional Darcy’s Law with memoryen_US
dc.titleChapter 3: Fundamentals of Fractional Modeling of Fluid Flow, of the Book: Fractional Modelling of Fluid Flow and Transport Phenomenaen_US
dc.source.booktitleFractional Modelling of Fluid Flow and Transport Phenomenaen_US
dc.contributor.researcherNo Collaborationen_US
dc.contributor.labEnergy Laben_US
dc.subject.KSAMTHen_US
dc.contributor.ugstudent0en_US
dc.contributor.alumnae0en_US
dc.source.indexScopusen_US
dc.contributor.departmentNSMTUen_US
dc.contributor.pgstudent0en_US
dc.contributor.firstauthorEl-Amin, Mohamed F.


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