3. EDL over an infinite cylinder: Consider a infinitely long cylinder of radius Ro. The cylinder is negatively charged at its surface. The cylinder is in contact with an symmetric electrolyte solution. Assuming axisymmetry and low potential (i.e. dimensionless p « 1), obtain a linear differential equation for the dimensionless potential. Solve the resulting dimensionless problem for the potential distribution. Hint: The governing equation can be modified to Bessel's equation.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.1P: Consider a flat plate or a plane wall with a thickness L and a long cylinder of radius r0. Both of...
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3. EDL over an infinite cylinder: Consider a infinitely long cylinder of radius Ro. The cylinder is negatively
charged at its surface. The cylinder is in contact with an symmetric electrolyte solution. Assuming
axisymmetry and low potential (i.e. dimensionless y « 1), obtain a linear differential equation for the
dimensionless potential. Solve the resulting dimensionless problem for the potential distribution. Hint:
The governing equation can be modified to Bessel's equation.
Transcribed Image Text:3. EDL over an infinite cylinder: Consider a infinitely long cylinder of radius Ro. The cylinder is negatively charged at its surface. The cylinder is in contact with an symmetric electrolyte solution. Assuming axisymmetry and low potential (i.e. dimensionless y « 1), obtain a linear differential equation for the dimensionless potential. Solve the resulting dimensionless problem for the potential distribution. Hint: The governing equation can be modified to Bessel's equation.
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