I?V characteristics and liquid motion in needle to plane configuration in transformer oil and liquid nitrogen

In a negative razor blade to plane configuration in transformer oil, current-voltage (I-V) characteristics, liquid velocities and streamlines were measured. Linear plots of V vs I^1/3 were obtained in the space charge limitation (SCL). The liquid motion in SCL is computed from both the Navier-Stokes equation and the continuity equation for two-dimensions, by the finite difference method. The computational streamlines nearly agree with the experimental ones. From the experimental and the computational results, the linear relation between V and I^1/3 is derived.