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Computational analysis of multi-layered Navier–Stokes system by Atangana–Baleanu derivative

Awatif Muflih Alqahtani, Akanksha Shukla

2023Applied Mathematics in Science and Engineering12 citationsDOIOpen Access PDF

Abstract

In our present paper, we have employed the Atangana-Baleanu derivative in the multi-layered Navier-Stokes condition to analyse the nature of the flow.Actually, the stream, the impacts and modifications caused by the operator and the mathematical technique approach are the main subjects of our attention.In this exploratory work, the Laplace transform strategy and the Atangana-Baleanu fractional operator were combined.Due to the Atangana-Baleanu operator's convergence in many engineering and technological issues, it is employed.We have also carefully evaluated the presence and uniqueness of the outcome.To visualize the variations in the flow, we have presented the graphs of the stream's velocity components in each direction during the study.

Topics & Concepts

Laplace transformUniquenessOperator (biology)MathematicsFlow (mathematics)Applied mathematicsConvergence (economics)Work (physics)Mathematical analysisMathematical optimizationGeometryMechanical engineeringEngineeringRepressorEconomicsGeneChemistryEconomic growthBiochemistryTranscription factorFractional Differential Equations SolutionsNanofluid Flow and Heat TransferIterative Methods for Nonlinear Equations
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