The properties of a warm plasma collisional sheath in an oblique magnetic field and the associated sheath criterion are investigated with a two-fluid model. In the fluid framework, a sheath criterion including effects of the magnetic field and collision is established theoretically for a wide range of ion temperature. With the sheath criterion as the plasma-sheath boundary condition, different plasma parameters including potential, electron and ion densities, and ion velocity are calculated for various ion temperatures and ion thermal motions. It is shown that the properties of the sheath depend not only on the plasma balance equations but also on the sheath boundary conditions. In addition, effects of the directions and magnitudes of the magnetic field on the plasma sheath are also discussed under different ion temperatures.

A magnetized collisionless plasma sheath containing two-temperature electrons is studied using a one-dimensional model in which the low-temperature electrons are described by Maxwellian distribution (MD) and high-temperature electrons are described by truncated Maxwellian distribution (TMD). Based on the ion wave approach, a modified sheath criterion including effect of TMD caused by high-temperature electrons energy above the sheath potential energy is established theoretically. The model is also used to investigate numerically the sheath structure and energy flux to the wall for plasmas parameters of an open divertor tokamak-like. Our results show that the profiles of the sheath potential, two-temperature electrons and ions densities, high-temperature electrons and ions velocities as well as the energy flux to the wall depend on the high-temperature electrons concentration, temperature, and velocity distribution function associated with sheath potential. In addition, the results obtained in the high-temperature electrons with TMD as well as with MD sheaths are compared for the different sheath potential.

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