期刊
SOFT COMPUTING
卷 26, 期 10, 页码 4575-4585出版社
SPRINGER
DOI: 10.1007/s00500-022-06913-3
关键词
Rate-type fluid; Singular kernel; Molecular dynamics of Nusselt number; Fractional derivative based on singular kernel
This paper investigates the thermodynamic modeling of a class of viscoelastic fluids called Oldroyd-B fluid, with a focus on the application of singular kernel in the mixed convection flow of this type of fluid. By employing the Laplace transform, the temperature distribution, velocity profile, and Nusselt numbers of Oldroyd-B fluid are explored, and the enhancement of convective heat transfer is emphasized based on relaxation and retardation phenomenon.
The response of inhomogeneous fluids whose material properties are strongly interconnected with mean normal stress and shear rate; such phenomenon undergo to rate constitutive-type theories within thermodynamical aspects. In this context, the thermodynamic approach for modeling a class of viscoelastic fluids so-called Oldroyd-B fluid is investigated through a singular kernel. This is because role of the singular kernel has become imperative due to the wide applications of rate-type fluid subject to the mixed convection flow. To have the systematical and molecular dynamics of Oldroyd-B fluid, the temperature distribution, velocity profile, and Nusselt numbers have been explored by invoking the Laplace transform on the governing equations. Owing to the strengthening of physical parameters, the enhancement of convective heat transfer is emphasized based on relaxation as well as retardation phenomenon. Additionally, the evaluation of thermal and flow characteristics of Oldroyd-B fluid has resulted in discovering more evolutionary mechanisms of the considered problem of rate-type fluid subject to the mixed convection flow.
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