Fast evaluation for magnetohydrodynamic flow and heat transfer of fractional Oldroyd‐B fluids between parallel plates

Liu, Yi; Zhang, Hui; Jiang, Xiaoyun

doi:10.1002/zamm.202100042

Cited by 7 publications

(1 citation statement)

References 38 publications

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“…Abro and Solangi [33] analytically researched the heat transfer and free convection problem in second-grade fluid with porous impacts using Caputo-Fabrizoi fractional derivatives. Liu et al [34] studied the unsteady EMHD flow of fractional Oldroyd-B fluids between parallel plates on heat transfer. Inspired by these studies, the fractional Maxwell model was chosen to explore the characteristics of viscoelastic fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Two-Dimensional Electromagnetohydrodynamic (EMHD) Flows of Fractional Viscoelastic Fluids with Electrokinetic Effects

Tian

Zhao

et al. 2022

Nanomaterials

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The present study provides analytical and numerical solutions for an electromagnetohydrodynamic (EMHD) flow using a Caputo time-fractional Maxwell model. The flow is a typical rectangular channel flow. When the scale of the cross-stream is much smaller than the streamwise and spanwise scales, the model is approximated as a two-dimensional slit parallel plate flow. Moreover, the influence of the electric double layer (EDL) at the solid–liquid interface is also considered. The electro-osmotic force generated by the interaction between the electric field and the EDL will induce a flow (i.e., electro-osmotic flow). Due to the application of the electric field at the streamwise and the vertical magnetic field, the flow is driven by Lorentz force along the spanwise direction. Simultaneously, under the action of the magnetic field, the electro-osmotic flow induces a reverse Lorentz force, which inhibits the electro-osmotic flow. The result shows that resonance behavior can be found in both directions in which the flow is generated. However, compared with the classical Maxwell fluid, the slip velocity and resonance behavior of fractional Maxwell fluid are suppressed. In the spanwise direction, increasing the strength of magnetic field first promotes the slip velocity and resonance behavior, and then suppresses them, while in the streamwise direction, both the electro-osmotic flow and resonance behavior are suppressed with the magnetic field.

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Section: Introductionmentioning

confidence: 99%