Abstract
The transverse plane waves propagating in the horizontal direction in an unbounded binary fluid mixture having vertical temperature and concentration gradients are investigated. It is shown that the conditions found by Bhattacharyya and Gupta (Phys. Fluids 28 (1985) 3215) for the propagations of undamped waves or weakly damped waves in the low-frequency limit contradict the stability criteria for the undisturbed basic state. It is also shown that weakly damped waves can exist under the conditions that the undisturbed basic state is stable.