Unsteady natural convection boundary layer flow and heat transfer past a vertical flat plate with novel constitution models

Seeking proper and reasonable constitutive relations to study the characteristics of flow and heat transfer of viscoelastic fluid is a hot topic in recent years. In this work, a new distributed order time fractional constitution model is put forward to analyse the unsteady natural convection boundar...

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Bibliographic Details
Published inApplied mathematics letters Vol. 120; p. 107335
Main Authors Yang, Shuo, Liu, Lin, Long, Zefei, Feng, Libo
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2021
Subjects
Boundary layer flow
Fractional derivative
Maxwell fluid
Natural convection
Natural convection
Maxwell fluid
Boundary layer flow
Fractional derivative
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Summary:Seeking proper and reasonable constitutive relations to study the characteristics of flow and heat transfer of viscoelastic fluid is a hot topic in recent years. In this work, a new distributed order time fractional constitution model is put forward to analyse the unsteady natural convection boundary layer flow and heat transfer, in which the magnetic field effect is considered. The mid-point quadrature method is applied to approach the distributed order integrals and the L1-formula is employed to discrete the time fractional derivatives. The influences of different involved parameters on the velocity and temperature distributions and the comparisons of the distributions with different constitution models are presented by graphical illustrations and discussed in detail.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2021.107335