粒子表面の微小変形を考慮した極性流体の輸送方程式の混合問題に関する研究 : 第1報, 輸送方程式 (新編集方針に基づく論文)

抄録

The transport equation has become an extremely important topic in physics and engineering. In this paper, to describe the motions of polar fluids microscopically, the mixed problems for the transport equations of polar fluids are considered from a mathematical point of view. The transport equations of a polar fluid consisting of two particle components, a solvent and a polar particle, are obtained by the extended Carlemann's method. To consider the infinitesimal particle surface deformation, the component particles are hypothetically divided into the following parts: (i) an open sphere with rigid body, and (ii) a boundary part with elastic body. This modelling is more important from the standpoint of systematizing the statistical theory for cluster phenomena of magnetic fluids and molecular aerothermodynamics.