文摘
Nano-electrochemical machining is an attractive current research topic due to its distinctive advantages. The nano-tip is an essential tool for nano-electrochemical machining. Liquid membrane electrochemical etching offers a simple and attractive approach for the fabrication of nano-tips. However, a mathematical model has not been presented until now. The present paper is focussed on a mathematical model for the liquid membrane electrochemical etching of a nano-tip. The model was built based on the influence of the weight of the lower tip and the surface tension on the tip radius. The effects on the minimum tip radius of the initial tungsten rod radius, the thickness of the liquid membrane, the length of the lower tip, the etching voltage and the electrolyte concentration were investigated experimentally. The experimental results were in good agreement with the mathematical model. The results indicated that the tip radius increased with increasing initial tungsten rod radius, lower tip length, voltage and electrolyte concentration. A liquid membrane thickness of 4?mm was advised in this experiment.