混相流研究の進展
Online ISSN : 1881-6088
Print ISSN : 1881-5804
ISSN-L : 1881-5804
論文
格子ボルツマン法による単一粘弾性皮膜固体の
せん断流れ場における挙動解析
村山 寿郎吉野 正人平田 哲夫
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ジャーナル フリー

2009 年 4 巻 p. 9-17

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The lattice Boltzmann method for solid-fluid two-phase flows with a viscoelastic membrane is improved. In the present model, the elastic force at each lattice node is determined so that the total elastic energy in the whole membrane can be minimized according to the principle of virtual work. The method is applied to the motion of an annular membrane in a shear flow. The calculated deformation of the membrane agrees well with the result by the immersed boundary-lattice Boltzmann method. Next, three-dimensional structural membrane models, spherical and ellipsoidal models, are constructed by means of the mapping system. The motions of these membranes in shear flows are simulated by using the method. In an initially spherical membrane, the steady circulatory flows inside the membrane and the tank-treading motion are observed. In an initially ellipsoidal membrane, the steady shape and orientation of the membrane are almost the same regardless of initial inclination angles.

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© 2009 日本混相流学会
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