Abstract
The full MHD equations, governing the flow due to a linearly stretching sheet in the presence of a transverse magnetic field, can be cast in a self similar form involving two parameters—the magnetic Prandtl number \(P_\mathrm{m} \) and the magnetic interaction number \(\beta \). The leading-order problem, as \(P_\mathrm{m} \sim 0\), is of hierarchical type allowing the solution first for the velocity field and then for the induced magnetic field. Solutions of the full problem tend readily to the hierarchical solutions as \(P_\mathrm{m} \) gets smaller, thus justifying the use of the hierarchical approach even at not so small \(P_\mathrm{m}\).
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