Developments on Convection Induced by Surface Tension and Buoyancy

The book "Developments on Convection Induced by Surface Tension and Buoyancy" offers a comprehensive theoretical investigation of the latest developments in thermal convection driven by surface tension and buoyancy. It highlights existing gaps in the literature regarding hydrodynamic and hydromagnetic stability, particularly concerning analytical solutions to thermal convection problems. The authors argue that the common methods for solving these issues, based on the work of Lord Rayleigh, do not differentiate between warmer and cooler fluid layers and therefore do not reflect physical intuition. The book calls for a reassessment of these techniques and provides a modified analysis based on the findings of Banerjee et al. It presents an intellectual challenge to find explicit solutions for these eigenvalue problems and to characterize the critical conditions at the threshold of instability.