Heat transfers thermodynamic activity of a second-grade ternary nanofluid flow over a vertical plate with Atangana-Baleanu time-fractional integral
Nehad Ali Shah, Abderrahim Wakif, Essam R. El‐Zahar, Thirupathi Thumma, Se‐Jin Yook
Abstract
The impact of the Atangana-Baleanu (AB) time-fractional integral on second-grade fluid with ternary nanoparticle suspension across an infinite vertical plate was studied in this paper. By generalized Fourier's law, the generalized fractional constitutive equation for the thermal flux explains a thermal process with memory. Closed-form solutions are calculated using Laplace transform and represented using Lorenzo and Hartley G–functions and integral forms. The numerical effects of physical and fractional parameters are presented.
Topics & Concepts
Laplace transformNanofluidTernary operationFractional calculusIntegral transformSuspension (topology)Materials scienceFlow (mathematics)Fourier transformThermalMechanicsHeat transferHeat fluxMathematicsMathematical analysisThermodynamicsPhysicsComputer sciencePure mathematicsProgramming languageHomotopyNanofluid Flow and Heat TransferFractional Differential Equations SolutionsHeat Transfer Mechanisms