Momentum equation for straight electrically charged jet  

作　　者：张若京 S. H. HOU C. K. CHAN 

机构地区：[1]School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, P. R. China [2]Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第12期1515-1524,共10页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.10772136);the Research Committee of The Hong Kong Polytechnic University(No.G-YE70)

摘　　要：A one-dimensional momentum conservation equation for a straight jet driven by an electrical field is developed. It is presented in terms of a stress component, which can be applied to any constitutive relation of fluids. The only assumption is that the fluid is incompressible. The results indicate that both the axial and radial constitutive relations are required to close the governing equations of the straight charged jet. However, when the trace of the extra stress tensor is zero, only the axial constitutive relation is required. It is also found that the second normal stress difference for the charged jet is always zero. The comparison with other developed momentum equations is made.A one-dimensional momentum conservation equation for a straight jet driven by an electrical field is developed. It is presented in terms of a stress component, which can be applied to any constitutive relation of fluids. The only assumption is that the fluid is incompressible. The results indicate that both the axial and radial constitutive relations are required to close the governing equations of the straight charged jet. However, when the trace of the extra stress tensor is zero, only the axial constitutive relation is required. It is also found that the second normal stress difference for the charged jet is always zero. The comparison with other developed momentum equations is made.

关 键 词：electrically charged jet stability ELECTROSPINNING 

分 类 号：O358[理学—流体力学] O361.6[理学—力学]