The aim of this paper is developing an exact solution for the problem of axisymmetrical flow of unsteady motion of micropolar fluid in the half-space when the shear stresses are given on the boundary. The Laplace-Hankel transform technique is used to solve this problem. Some physical quantities such as velocities, pressure and microrotations are obtained and illustrated numerically.
The paper deals with the problem of formulation of Hankel's boundary condition for an electromagnetic field (the so-called third condition). In comparison to the heat transfer and the temperature distribution problems, this condition for electromagnetic field problems should be introduced by means of a more complicated procedure. Indeed, Hankel's condition for the temperature field problems can be easily derived from the convection principle. An analogous principle which may lead in such a simple way to Hankel's boundary condition does not exist for the electromagnetic field problems. Hankel's condition has been formulated for several shapes of the boundary surface by means of the field analysis. An example which emphasises the importance of this problem has been provided.
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