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Combined Effect of Ion Temperature and Magnetic Field on Collisionless Sheath Structure

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Abstract

A steady state two-fluid model has been used to study the characteristics of the collisionless plasma sheath in the presence of an external magnetic field and by taking into account both the ion temperature and the ion drift velocity at the sheath edge. The number and momentum equations of ions, the Boltzmann distribution of electrons and Poisson equations are solved numerically. The dependence of the Bohm magnetized sheath criterion to ion temperature is examined. It is shown that the ion temperature has significant effects on the sheath characteristics such as ion velocity, charged particles densities and electric potential. In the specific orientations of the magnetic field, it is found that by increasing the ion temperature, the ions do not achieve energy and the kinetic energy of the ions in the depth direction reaches the specific value at bigger distance from the plasma-sheath boundary.

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Acknowledgments

This work was supported by the National Center for Scientific and Technical Research (CNRST), under contract: URAC-07. The authors would like to thank Pr. Ali E. Abdou of Department of Mechanical and Nuclear Engineering Kansas State University for helpful discussions.

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Correspondence to M. El Kaouini.

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El Kaouini, M., Chatei, H. Combined Effect of Ion Temperature and Magnetic Field on Collisionless Sheath Structure. J Fusion Energ 31, 317–324 (2012). https://doi.org/10.1007/s10894-011-9486-0

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