Critical length of straight jet in electrospinning

In this paper the well-known Chauchy's inequality is applied to prediction of critical length of the straight jet in electrospinning. A critical relationship between radius r of jet and the axial distance z from nozzle is obtained for the straight jet. Critical length number and critical radius number are defined, which might be found potential applications in experiment and apparatus design.

[1]  J. Qu,et al.  Primary Research on Normal Stress Difference for Polymer Melts in Vibration Force Field , 2004 .

[2]  Ji-Huan He,et al.  Allometric Scaling and Instability in Electrospinning , 2004 .

[3]  Jianyong Yu,et al.  Application of Vibration Technology to Polymer Electrospinning , 2004 .

[4]  Ji-Huan He,et al.  Allometric scaling law in conductive polymer , 2004 .

[5]  M. Brenner,et al.  Experimental characterization of electrospinning: the electrically forced jet and instabilities , 2001 .

[6]  Darrell H. Reneker,et al.  A model of steady state jet in the electrospinning process , 2000 .

[7]  Ji-Huan He,et al.  Effect of LiCl on electrospinning of PAN polymer solution: theoretical analysis and experimental verification , 2004 .

[8]  J. Kuikka.  Fractal Analysis of Day-to-Day Variation of Heart Rate and Blood Pressure: A Case Report , 2005 .

[9]  Ji-Huan He,et al.  Resistance in cell membrane and nerve fiber , 2004, Neuroscience Letters.

[10]  Eyal Zussman,et al.  Experimental investigation of the governing parameters in the electrospinning of polymer solutions , 2004 .

[11]  Juan Zhang.  Constitutive Equations of Polymer Melts under Vibration Force Fields: A Review , 2004 .

[12]  Eyal Zussman,et al.  Upward needleless electrospinning of multiple nanofibers , 2004 .

[13]  J. Deitzel,et al.  The effect of processing variables on the morphology of electrospun nanofibers and textiles , 2001 .

[14]  X. Qin,et al.  Effect of LiCl on the stability length of electrospinning jet by PAN polymer solution , 2005 .

[15]  Ji-Huan He,et al.  Scaling law in electrospinning: relationship between electric current and solution flow rate , 2005 .

[16]  Qian Guo,et al.  Thermo-electro-hydrodynamic model for electrospinning process , 2004 .

[17]  Y. Dzenis,et al.  Asymptotic decay of radius of a weakly conductive viscous jet , 1998 .

[18]  Ioannis S. Chronakis,et al.  Novel nanocomposites and nanoceramics based on polymer nanofibers using electrospinning process—A review , 2005 .

[19]  A. Gañán-Calvo.  THE SURFACE CHARGE IN ELECTROSPRAYING: ITS NATURE AND ITS UNIVERSAL SCALING LAWS , 1999 .

[20]  J. H. He,et al.  A Mathematical Model for Preparation by AC-Electrospinning Process , 2005 .

[21]  Meifang Zhu,et al.  Experimental study on relationship between jet instability and formation of beaded fibers during electrospinning , 2005 .

[22]  Darrell H. Reneker,et al.  Bending instability in electrospinning of nanofibers , 2001 .

[23]  Darrell H. Reneker,et al.  Bending instability of electrically charged liquid jets of polymer solutions in electrospinning , 2000 .

[24]  Darrell H. Reneker,et al.  Taylor Cone and Jetting from Liquid Droplets in Electrospinning of Nanofibers , 2001 .

[25]  Ji-Huan He,et al.  Effects of Size and pH on Metabolie Rate , 2003 .

[26]  Michael P Brenner,et al.  Controlling the fiber diameter during electrospinning. , 2003, Physical review letters.

[27]  Alfonso M. Gañán-Calvo,et al.  Cone-Jet Analytical Extension of Taylor's Electrostatic Solution and the Asymptotic Universal Scaling Laws in Electrospraying , 1997 .

[28]  Ehud Kroll,et al.  MULTIPLE JETS IN ELECTROSPINNING: EXPERIMENT AND MODELING , 2005 .

[29]  M. Brenner,et al.  Electrospinning and electrically forced jets. I. Stability theory , 2001 .

[30]  Ji-Huan He,et al.  Allometric scaling for voltage and current in electrospinning , 2004 .

[31]  Ji-Huan He.  An allometric scaling law between gray matter and white matter of cerebral cortex , 2006 .