Nonlinear Stability Analysis of the Thin Micropolar Liquid Film Flowing Down on a Vertical Cylinder

作者: Po-Jen Cheng , Cha’o-Kuang Chen , Hsin-Yi Lai

DOI: 10.1115/1.1359524

关键词: Nonlinear systemMechanicsFlow (mathematics)KinematicsLinear stabilityEquations of motionNormal modeThin filmOpticsMultiple-scale analysisMaterials science

摘要: We investigate the weakly nonlinear stability theory of a thin micropolar liquid film flowing down along outside surface vertical cylinder. The long-wave perturbation method is employed to solve for generalized kinematic equations with free interface. normal mode approach first used compute linear solution flow. multiple scales then obtain weak dynamics flow analysis

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