Stability analysis for penetrative convection in a fluid layer with throughflow

Abstract

The problem of penetrative convection in fluid layer with vertical throughflow effect is studied by using methods of linear instability theory and unconditional and conditional nonlinear energy theories. Then, the accuracy of the linear instability thresholds are tested using a three-dimensional simulation. For small values of throughflow, the results support the assertion that the linear theory is a good prediction to the onset of convective motion, and thus, regions of stability. However, for large values of throughflow, we found that the actual threshold move from the linear instability threshold with increasing the positive and negative effect of throughflow.