Extension of Alternative Method to Solve Space-Charge-Flow Problem for Concentric Spheres

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概要

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• Although a space-charge-flow solution for concentric spheres was first given by Langmuir, another type of solution was found by Kirstein, Kino and Waters. They, however, solved it only for r/r_o>1, where r_o is the radius of the emitter. Thus, the solution for r/r_o<1 is developed with the same method here. Moreover, the values of α^2 for r/r_o>1 and (-α)^2 for r/r_o<1 are computed where the space-charge limited current I_c is expressed by I_c=(16π/9)(2e/m)^<1/2>ε_oφ^<3/2>/α^2. Here e is the charge, m the mass and φ the potential.

• 社団法人応用物理学会の論文
• 1980-04-05

著者

• Miyajima Shigeki

  Faculty Of Engineering Nagoya University

• Ninomiya Ichizo

  Faculty Of Engineering Nagoya University

関連論文

• Hydrodynamic Description on Double Sheath in Hot-Cathode, Low Pressure Discharge
• Extension of Alternative Method to Solve Space-Charge-Flow Problem for Concentric Spheres

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