Spatially modulated thermal convection of viscoelastic fluids

Abstract

The thermal convection of modulated viscoelastic flow is examined in this study. The modulation is assumed to be weak enough for a regular perturbation solution to be implemented. In addition to being more accurate, the second-order perturbation results reveal new physical phenomena that could not be predicted by the first-order analysis. Inertia was found to enhance globally the discrepancies between the first- and the second-order perturbation solution. A comparison between the Newtonian and the non-Newtonian solution is carried out and the influences of inertia, modulation amplitude, and wave number are emphasized. The present results show that elasticity has a marked effect on fluid patterns, especially regarding the roll structure and symmetry. The influence of elasticity is greater for larger Rayleigh number and aspect ratio.

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

“…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.…”

Effect of heat source on Rayleigh–Bénard convection in rotating viscoelastic liquids

“…Jayalatha 18 has investigated RBC with different convection control mechanisms in varied viscosity viscoelastic liquids. Literature on thermal convection/heat transfer in viscoelastic/viscoelastic ferromagnetic liquid with rotation/gravity modulation/temperature modulation/spacial modulation is available in large numbers (see Laroze et al, 19 Siddheshwar et al, 20 Pérez et al, 21 Melson et al, 22 Kayodé and Khayat, 23 Jayalatha et al, 24 Jayalatha and Suma, 25 and Jayalatha and Muchikel 26 ). Convection in viscoelastic liquids in porous medium has been studied by Siddheshwar and Srikrishna, 27,28 Gueye et al, 29 and Mahmud et al 30 Convection in a porous layer of viscoelastic/couple stress liquid is studied by Hemanthkumar et al, 31 Shivakumara and Raghunath, 32 and Raghunath et al 33 …”