A literature survey is undertaken to assess the state of the art in the calculation of transport properties of partially ionised gases in magnetic fields. The motivation for the study is to insert the expressions for the transport coefficients into calculations of hypersonic flows, therefore the focus is on the hydrodynamic regime and on the Chapman-Enskog method. Previous results are discussed and compared and recommendations for practical calculations are given. Finally, sample results on the modifications introduced in the viscosity tensor by the presence of the magnetic field are reported.
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