Thermally unstable throughflow of a power–law fluid in a vertical porous cylinder with arbitrary cross–section

Brandão, Pedro Vayssière; Celli, Michele; Barletta, Antonio; Storesletten, L.

doi:10.1016/j.ijthermalsci.2020.106616

Cited by 3 publications

(3 citation statements)

References 10 publications

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“…( 2) where the proposed value of Pascal 37 for the tortuosity factor (C t ¼ ð 25 12 Þ ðnþ1Þ=2 ) is implemented. The non-dimensional variables for this problem were introduced in [94][95][96][97]…”

Section: Validation and Numerical Examplesmentioning

confidence: 99%

“…a n l Ã , and T Ã ¼ ðT ÀT C Þ=DT Ã ; DT Ã ¼ T H À T C . With dropping asterisks, the nondimensional equations were presented in the cited studies [92][93][94][95][96][97] as…”

Section: Validation and Numerical Examplesmentioning

confidence: 99%

“…( 68), the pressure can also be eliminated. [92][93][94][95][96][97] With consideration to the definition of the curl operator, Eq. ( 68) can be altered to the following equation:…”

Section: Validation and Numerical Examplesmentioning

confidence: 99%

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A mesoscopic model for thermal–solutal problems of power-law fluids through porous media

et al. 2021

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A mesoscopic method based on the lattice Boltzmann method for thermal-solutal incompressible non-Newtonian power-law fluids through porous media is introduced. The macroscopic equations of different representative element volume (REV) models of porous media are presented, and the equations of power-law fluids through porous media for various REV models reported. The general mesoscopic model for two-and three-dimensional cases are presented, and their derivations shown. To demonstrate the ability of the proposed method, natural convection and double-diffusive natural convection of Newtonian and power-law fluids in porous cavities are studied, and the results are validated against previous findings. Finally, double-diffusive natural convection in a porous cubic cavity filled with a non-Newtonian power-law fluid is simulated by the proposed method.

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Section: Validation and Numerical Examplesmentioning

confidence: 99%

“…a n l Ã , and T Ã ¼ ðT ÀT C Þ=DT Ã ; DT Ã ¼ T H À T C . With dropping asterisks, the nondimensional equations were presented in the cited studies [92][93][94][95][96][97] as…”

Section: Validation and Numerical Examplesmentioning

confidence: 99%

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A mesoscopic model for thermal–solutal problems of power-law fluids through porous media

et al. 2021

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Influence of symmetric/asymmetric boundaries on axisymmetric convection in a cylindrical enclosure in the presence of a weak vertical throughflow

Siddheshwar

Kanchana

Pérez

et al. 2023

Communications in Nonlinear Science and Numerical Simulation

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Long-time instability and transient behavior of pressure-driven flow of a power-law fluid in a plane channel overlying a porous layer

Sengupta

2021

Physics of Fluids

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The present study is undertaken to analyze the hydrodynamic stability of pressure-driven flow of non-Newtonian fluid-porous systems, where the fluid exhibits the power-law rheology. Such combined fluid-porous flow systems are widely prevalent in diverse geophysical and industrial applications. In the beginning, modal analysis has been performed for comprehending the long-time flow transition characteristics. The plots of the eigenfunctions corresponding to the critical eigenmodes demonstrate the intricate interplay between the non-Newtonian viscosity (quantified by the flow behavior index n) and the porous layer (quantified by depth ratio). It is observed that for a shear-thinning fluid, the flow transition is less sensitive to a variation in depth ratio than that for a shear-thickening fluid. In addition, by exploring the transient energy growth and pseudospectrum in the framework of non-modal stability analysis, the responses to initial conditions and external excitations have been investigated in detail.

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Thermally unstable throughflow of a power–law fluid in a vertical porous cylinder with arbitrary cross–section

Cited by 3 publications

References 10 publications

A mesoscopic model for thermal–solutal problems of power-law fluids through porous media

A mesoscopic model for thermal–solutal problems of power-law fluids through porous media

Influence of symmetric/asymmetric boundaries on axisymmetric convection in a cylindrical enclosure in the presence of a weak vertical throughflow

Long-time instability and transient behavior of pressure-driven flow of a power-law fluid in a plane channel overlying a porous layer

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