A study of onset on Benard-Marangoi convection with internal heat generation / Syahila Azman

A study of fluid mechanics in convection may bring significant result in daily life especially in industrial sector such as crystal craft industry, welding, pump and others. In this research, classical linear stability theory was used to investigate the onset of Bénard-Marangoni convection in a fluid layer with a flat surface heated from below influenced by internal heat generation factors when the non-dimensional Rayleigh number and Marangoni number are linearly dependent. This study uses a combination of analytical and numerical approaches to obtain, for the first time, a detailed description of the marginal stability curves for the onset of steady and overstable convection, which significantly increases the numerical results of previous researchers. The research performs asymptotic analysis of the oscillatory Bénard-Marangoni within the limits of both long and short wavelength instability and presents the results of analytical calculations illustrating the effects of different problem parameters on the marginal curves