Axially Symmetric Stagnation-point Flow of an Electrically Conducting Fluid under Transverse Magnetic Field
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This paper deals with the axially symmetric stagnation-point flow of an incompressible, viscous and electrically conducting fluid in the presence of a transverse magnetic field with small magnetic Reynolds numbers. The velocity distribution modified by the magnetic field is calculated for several values of N (= SR_m, S: the pressure number, R_m: the magnetic Reynolds number). The shear stress on the wall is expressed in terms of b and φ''(0), where b is a characteristic parameter of the asymptotic inviscid flow and φ''(0) is the non-dimensional velocity gradient on the wall. The flow of this type may be considered as a simple model of the circumstance in the neighbourhood of the nose of a body of revolution moving through an ionized atmosphere at hypersonic speed. In this context, it may be convenient to use Bush's results for estimating b. The ratio of the shear stresses with and without the magnetic field thus calculated is shown graphically as a function of N. It is found that the shear stress at the wall is considerably reduced by the hydromagnetic interactions.
- 社団法人日本物理学会の論文
- 1960-04-05
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