Rayleigh-Bénard-Marangoni Convection of Mono and Hybrid Nanoliquids in an Inclined Plane and Solution by Shooting Method

Abstract

Unprecedented study on Rayleigh-Bénard-Marangoni convection in mono and hybrid nanoliquids in a region confined between two infinite inclined parallel planes. Linear stability analysis is conducted to investigate the stability of longitudinal and transverse rolls. The shooting method is used to obtain the eigenvalues of the boundary value problem with complex coefficients in the case of four different boundary conditions. The inclination angle is chosen in the range [0, 45] and the Rayleigh number is chosen in such a way that the critical Rayleigh number is greater than 0. The thermophysical properties measured at 300 K of twelve nanoliquids and thirty hybrid nanoliquids having a total volume fraction of 0.5% are evaluated using phenomenological laws and mixture theory, and prediction on the onset of convection is made in all cases. C2H6O2-SWCNT (F = 0.972881) advances the onset of convection the most among nanoliquids and C2H6O2-Ag-SWCNT and C2H6O2-Cu-SWCNT (F = 0.972875) among hybrid nanoliquids. Rayleigh-Bénard-Marangoni convective system in an inclined plane is more stable than that in a horizontal plane.