Heat transfer study in foam formation using LBM with MPF model and AMR method

Sitompul, Y.*; Aoki, Takayuki*; Watanabe, Seiya*; Sugihara, Kenta ; Takaki, Tomohiro*

A cumulant Lattice Boltzmann Method (LBM) with Multiphase Field (MPF) and Adaptive Mesh Refinement (AMR) has been developed to model foam formation with stable thin liquid films. The proposed method has been successfully employed to simulate 3D foam formation with many bubbles, maintaining mass conservation and using a large density ratio. In addition, we have extended the proposed method to include heat transfer calculations. To demonstrate the effectiveness of the foam as a thermal insulation layer, we simulated 2D foam formation and compared the heat transfer in a cup of water with and without foam. Preliminary results show that the foam effectively acts as a thermal insulator, retaining the water temperature by preventing the natural air convection and acting like a stagnant air layer.