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Original Articles

On the self‐similar heat boundary layer problems in magnetohydrodynamics

Pages 93-102 | Received 28 Sep 2001, Published online: 14 Oct 2010
 

Abstract

Usually all self‐similar heat boundary layer problems in presence of magnetic field are solved neglecting the Joule heat, created by current, induced in fluid by interaction of velocity and magnetic field. But the analysis of this heat shows that its influence to the temperature field is very important. For vertical flows it is impossible to find self‐similar solution of boundary layer problems due to the Joule heat influence in temperature field. For horizontal flows only two self‐similar boundary layer problems can be formulated: flow near the critical point in magnetic field with the neutral point and in the transverse steady magnetic field.

Paprastai visi automodeliniai pakraščio sluoksnio šilumos uždaviniai, esant magnetiniam laukui, yra sprendžiami ignoruojant Džiauline šiluma, kuria sukuria srove indikuota skysčio greičio ir magnetinio lauko saveikos. Tačiau šios šilumos itaka i temperatūrini lauka labai svari. Vertikaliesiems srautams neimanoma rasti automodelinio sprendinio del Džaulines šilumos itakos i temperatūrini lauka. Horizontaliesiems srautams gali būti suformuluoti tik du automodeliniai pakraščio sluoksnio šilumos uždaviniai: tekejimas netoli kritinio taško magnetiniame lauke, turinčiame neutraluji taška ir tekejimas stabiliame magnetiniame lauke.

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