Linear instability analysis of the onset of thermal convection in an Ekman-Couette-flow

Ávila, Raúl

doi:10.1016/j.ijheatmasstransfer.2020.119635

Cited by 1 publication

(2 citation statements)

References 29 publications

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“…Meanwhile, the LRs are always observed earlier than the TRs for Newtonian fluids in the low Rayleigh numbers. Furthermore, the applications of the pressure-driven flow and thermal convection can be also applied in the researches of the flows of the nanofluids [20][21][22][23] . Zeeshan et al [20] reported the convective Poiseuille flow with the influence of the thermal radiation in a porous wavy channel.…”

Section: Introductionmentioning

confidence: 99%

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Thermal instability of a viscoelastic fluid in a fluid-porous system with a plane Poiseuille flow

Yin

Wang

2020

Appl. Math. Mech.-Engl. Ed.

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The thermal convection of a Jeffreys fluid subjected to a plane Poiseuille flow in a fluid-porous system composed of a fluid layer and a porous layer is studied in the paper. A linear stability analysis and a Chebyshev τ-QZ algorithm are employed to solve the thermal mixed convection. Unlike the case in a single layer, the neutral curves of the two-layer system may be bi-modal in the proper depth ratio of the two layers. We find that the longitudinal rolls (LRs) only depend on the depth ratio. With the existence of the shear flow, the effects of the depth ratio, the Reynolds number, the Prandtl number, the stress relaxation, and strain retardation times on the transverse rolls (TRs) are also studied. Additionally, the thermal instability of the viscoelastic fluid is found to be more unstable than that of the Newtonian fluid in a two-layer system. In contrast to the case for Newtonian fluids, the TRs rather than the LRs may be the preferred mode for the viscoelastic fluids in some cases.

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Section: Introductionmentioning

confidence: 99%

“…Hassan et al [22] considered the non-Darcian phenomena of the pressure-driven nanofluid flow with a wavy surface in a porous medium by using a Dupuit-Forchheimer model. Additionally, Avila [23] studied the onset of the thermal convection with an Ekman-Couette flow by using a spectral method.…”

Section: Introductionmentioning

confidence: 99%

Thermal instability of a viscoelastic fluid in a fluid-porous system with a plane Poiseuille flow

Yin

Wang

2020

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

show abstract

Linear instability analysis of the onset of thermal convection in an Ekman-Couette-flow

Cited by 1 publication

References 29 publications

Thermal instability of a viscoelastic fluid in a fluid-porous system with a plane Poiseuille flow

Thermal instability of a viscoelastic fluid in a fluid-porous system with a plane Poiseuille flow

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