Abstract
The multi-relaxation time lattice Boltzmann method (MRT-LBM) has an excellent performance in dealing with the complex flow in many different areas. According to the specific behavior of the fluids, it also has some shortcomings when applied to some special flow like as the non-Newtonian flow. In Cement-3D printing, the fluids always exhibit according to the yielding behavior. When using the standard MRT-LBM, the simulation maybe divergent. In order to solve the problem, this work presents an improved MRT-LBM considering the non-Newtonian effect as a special forcing term to ensure the stable and accurate simulation. Finally, the Poiseuille flow was used to validate the feasibility of the proposed method.
Highlights
Cement-3D printing printing experiment, experiment, the According to repeated testing, the single screw extruder was taken as the printing head
The results demonstrate the stability of theof new, multi-relaxation time lattice Boltzmann method (MRT-lattice Boltzmann method (LBM))
To ensureTo accuracy, Theobtained obtained results demonstrate the stability theimproved new, improved ensure we took the theoretical results of Poiseuille flow to compare with numerical results of the proposed accuracy, we took the theoretical results of Poiseuille flow to compare with numerical results of the method
Summary
3-D printing is an advanced technology to model parts with complex structures [1,2]. It has been widely applied in the mechanical engineering, art, bioengineering, and construction fields [3,4,5]. Lattice Boltzmann method (LBM) has developed into a more popular method for fluid simulation It can be applied in flow simulation with complex fluid types or various structures [10,11,12]. LBM has been widely applied in many areas, it is not stable or accurate in certain cases such as the non-Newtonian flow, fluids with lower or higher Reynolds number, and so on. Based on the above theory, Gabbanelli applied a truncated LBM in a power-law flow, which shows a better simulation [18]. Nejat et al applied a second-order lattice Boltzmann method in a power-law flow simulation [20]. Some researchers proposed improved methods for Bingham fluids, they are not well suited for Herschel–Bulkley fluids. The improved method was validated using a Poiseuille flow
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