A free convective boundary layer in a conducting fluid in the presence of a transverse magnetic field |
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Authors: | L. A. Bolshov A. M. Dykhne P. S. Kondratenko L. V. Matveev |
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Affiliation: | (1) Nuclear Safety Institute, Russian Academy of Sciences, Moscow, 113191, Russia |
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Abstract: | The properties of free convection in a conducting fluid in laminar regime near a hot solid vertical w all in the presence of a transverse magnetic field are theoretically analyzed. The existence of two regimes of heat transfer from the wall to the fluid are established. In the first regime, at small heights x?x* where the magnetic field effect can be disregarded, heat transfer is described by the well-known results for a free convective boundary layer in a nonconducting fluid with the Nusselt number Nux∝x3/4. In the second regime, at x? x* where the magnetic field plays a crucial role, the dependence of heat transfer on the height and field strength is (Nu_x propto {{sqrt x } mathord{left/ {vphantom {{sqrt x } B}} right. kern-nulldelimiterspace} B}). The location of the boundary between these regimes strongly depends on the magnetic field, x*∝ B?4. |
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