On the Stability of a Heated Inclined Fluid Layer with Gravity Modulation

The effect of sinusoidal gravity modulation on the stability of natural convection in an inclined viscous fluid layer is studied using the energy stability theory. The variation of the critical value of the control parameter, the Rayleigh number, below which the basic flow is stable is discussed with the modulation parameters and the inclination of the fluid layer. An uncertain stability region is observed between the linear and the nonlinear marginal curves.