The mixing behaviour of laminar convection flow have been studied taken density as a quadratic function of temperature. There was mixing immediately after both hot and cold water come in contact. The entire contact layer was active with mixing even as the hot water continue to deplete further reducing in volume. The entire fluid in the container became warm without any external force. Profiles of temperature, vertical and horizontal component velocities were also examined at some point (X, 69) below the point where the two fluids meet. Result here have shown that different types of mixed fluid were found at that level in the temperature profile, confirming the fact that there was mixing in that region. Meanwhile, the vertical velocity profile agrees to the fact that there was an insignificant slightly warm fluid in that region as also evident in the various simulations. The downward curves indicates descending fluid while, the upward curves indicates fluid that were still slightly positively buoyant. The horizontal velocity profile showed that there was a fluid motion from left to right and right to the left. This behaviour in the fluid movement is reasonable as descending fluid in vortex form continue to sink, interacting with the ambient fluid. The hot water at the upper section is expected to deplete completely: but then, our result did not capture this behaviour because of the limited simulation time that we have used: and this we regard as a limitation here in this study. The results as presented here are very good as they were able to capture the real flow scenario that give us a better understanding into the mixing behaviour in a convection flow through our daily warm bath.