| Abstract: | After transformation to new variables the system of equations describing planar potential electrohydrodynamic flows with a small interaction parameter is converted to a single equation. The particular solution of this equation, which is the electrohydrodynamic analog of Hamel's solution in the dynamics of a viscous liquid, is found. Two types of flows, described by simplified equations, can be distinguished when certain constraints are imposed on the manner in which the electrical parameters vary along the coordinate lines and the terms of the equation correspondingly estimated. These flows are the jet and quasione-dimensional flows of the charged component in a curvilinear electrostatic field and a supper-posed two-dimensional potential flow of the carrier medium. Solutions to the approximate equations are obtained for certain particular cases.Kiev. Transklated from Izvestiya Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 140–147, July–August, 1972. |
