The Effect of a Uniform Vertical Magnetic Field on the Onset of Steady Marangoni Convection in a Semi-infinitely Deep Layer of Conducting Fluid

Abstract

In this paper we use classical linear stability theory to analyse the effect of a uniform vertical magnetic field on the onset of steady thermocapillary-driven Marangoni convection in a semi-infinitely deep layer of quiescent electrically-conducting fluid. We obtain an exact expression for the marginal stability curve for the onset of steady convection in the presence of a magnetic field. We show that increasing the magnetic field strength stabilises the layer. Keywords: Steady Marangoni convection; vertical magnetic field; semi-infinitely deep layer Di dalam makalah ini kami menggunakan teori kestabilan linear klasik untuk menganalisa kesan medan magnet terhadap olakan mantap Marangoni dalam lapisan mengufuk bendalir yang tak terhingga dalamnya. Kami perolehi penyelesaian tepat bagi lengkung kestabilan sut apabila tercetusnya olakan mantap dengan mengambil kira kewujudan medan magnet. Kami dapati bahawa medan magnet menstabilkan lapisan megufuk bendalir tersebut. Katakunci: Marangoni; medan magnet mengufuk