Chaotic convection in an Oldroyd viscoelastic fluid in saturated porous medium with feedback control

Mahmud, M. N.; Siri, Zailan; Vélez, J. A.; Pérez, Laura M.; Laroze, David

doi:10.1063/5.0002846

Cited by 21 publications

(11 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Research on viscoelastic liquids is done by various researchers. [13][14][15][16][17][18][19][20][21][22][23][24] Kayodé and Khayat 25 compared the solutions of Newtonian and non-Newtonian liquids and it was noted that the effect of elasticity in the liquid is found to be greater for higher Rayleigh numbers. Siddheshwar et al 26 concluded that the Maxwell liquids are comparatively more stable than other liquids in the study.…”

mentioning

confidence: 99%

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

2021

View full text Add to dashboard Cite

The influence of sinusoidal (trigonometric cosine [TC]) and nonsinusoidal waveforms (square, sawtooth, and triangular) of internal heat source modulation on triple diffusive convection in viscoelastic liquids is investigated. An Oldroyd-B type model is taken into account for viscoelastic liquids. Nonlinear analysis is carried out using a truncated representation of the Fourier series. To analyze the heat and mass transfer over a triply diffusive liquid layer, expressions for average Nusselt and average Sherwood numbers are derived using 8-mode generalized Lorenz equations. The transient behavior of Nusselt and Sherwood numbers is analyzed on different parameters of the problem. From the results, it is found that the internal heat source enhances the heat transfer and diminishes the mass transfer while the heat sink diminishes the heat transfer and enhances the mass transfer. The results for respective waveforms are obtained for each parameter and it is found that the maximum heat and mass transfer occurs due to TC waveform. The limiting cases of viscoelastic liquids (Newtonian, Oldroyd-B, Maxwell, and Rivlin-Ericksen) have been tabulated and corresponding results for each of the waveforms on heat and mass transfer have been shown.

show abstract

mentioning

confidence: 99%

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

2021

View full text Add to dashboard Cite

show abstract

“…LLE is widely used to quantify regular and chaotic evolution in diverse dynamical systems, see, e.g., Refs. [94][95][96][97][98][99][100][101][102].…”

Section: Dynamical Indicatorsmentioning

confidence: 99%

Dissipative structures in a parametrically driven dissipative lattice: chimera, localized disorder, continuous-wave, and staggered state

Cabanas,

Velez,

Perez

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

Discrete dissipative coupled systems exhibit complex behavior such as chaos, spatiotemporal intermittence, chimera among others. We construct and investigate chimera states, in the form of confined stationary and dynamical states in a chain of parametrically driven sites with onsite damping and cubic nonlinearity. The system is modeled by the respective discrete parametrically driven damped nonlinear Schrödinger equation. Chimeras feature quasi-periodic or chaotic dynamic in the filled area, quantified by time dependence of the total norm (along with its power spectrum), and by the largest Lyapunov exponent. Systematic numerical simulations, in combination with some analytical results, reveal regions in the parameter space populated by stable localized states of different types. A phase transition from the stationary disorder states to spatially confined dynamical chaotic one is identified. Essential parameters of the system are the strength and detuning of the forcing, as well as the lattice's coupling constant.

show abstract

“…e case of magnetic fluid, due to its technological applications, has attracted the attention of several researchers. e chaos control on convection in fluids was carried out with the use of different types of fluid from simple fluid to magnetic one and in porous and nonporous media [14][15][16][17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

“…Based on bifurcation diagrams, and Lyapunov exponents, they found that the system exhibits multiple transitions according to the parameters at present. e convection dynamics was studied in viscoelastic fluid in a porous medium [16] where the authors applied truncated expansion of Galerkin and obtained a generalized four-dimensional Lorenz system. Using the appropriate bifurcation curves and their corresponding Lyapunov exponents, they characterized the nonlinear dynamics of the system and found within a range of moderate and high Rayleigh numbers the proportional controller gain to enhance the stabilization and destabilization effects on the thermal convection.…”

Section: Introductionmentioning

confidence: 99%

Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force

Hounvènou

Monwanou

2022

Complexity

View full text Add to dashboard Cite

This article deals with the control of chaos on the convective motion in a ferrofluid filled in a rotating porous medium and under the helical force effect. We performed a truncated expansion of Galerkin and found the Lorenz-type model which described the system. The dynamical system is characterized using appropriate and subsequent criteria. We noticed that the system presents regular and chaotic behaviors according to the parameters at present. A considerable reduction of the chaotic domain is noticed with the increase of the intensity of the helical force and of the Darcy number, thus making it possible to delay the heat transfer in the system. The increase in the viscosity ratio and the Taylor number widen the chaotic domain leading to an acceleration of the heat transfer in the system.

show abstract

Chaotic convection in an Oldroyd viscoelastic fluid in saturated porous medium with feedback control

Cited by 21 publications

References 61 publications

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

Heat and mass transfer of triple diffusive convection in viscoelastic liquids under internal heat source modulations

Dissipative structures in a parametrically driven dissipative lattice: chimera, localized disorder, continuous-wave, and staggered state

Regular and Chaotic Behavior on the Convection in a Rotating Ferrofluid in Porous Medium under Helical Force

Contact Info

Product

Resources

About