Onset of Marangoni convection in an infinite layer of an electrically conducting liquid under magnetic field |
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| Institution: | 1. Department of Mechanical Engineering, Toyo University, 2100 Nakanodai, Kujirai, Kawagoe, Saitama, Japan 350;2. Institute of Industrial Science, University of Tokyo, 7-22-1 Roppongi, Minato-ku, Tokyo, Japan 106;1. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan;2. Department of Mathematics, The Govt. Sadiq College Women University, Bahawalpur, Pakistan;3. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia;4. National College of Business Administration and Economics, Bahawalpur, Pakistan;5. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Viet Nam;6. Department of Medical Research, China Medical University Hospital, Taichung, Taiwan;7. Department of Mathematics, Firat University, 23119, Elazig, Turkiye;1. Department of Mathematics, The Islamia University of Bahawalpur, Pakistan;2. Department of Mathematics, The Govt. Sadiq College Women University, Bahawalpur, Pakistan;3. Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh, 11451, Saudi Arabia;4. Department of Mathematics, Firat University, 23119, Elazig, Turkiye;1. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan;2. Department of Mathematics, The Govt. Sadiq College Women University, Bahawalpur, Pakistan;3. Department of Mathematics, King Saud University, Riyadh, 11495, Saudi Arabia;4. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Viet Nam;5. Department of Medical Research, China Medical University Hospital, Taichung, Taiwan;6. Henan Academy of Big Data/School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China;7. Department of Mathematics, Firat University, 23119, Elazig, Turkiye |
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| Abstract: | The onset of Marangoni convection in an electrically conducting liquid is studied theoretically for the case that the liquid is subjected to a vertical temperature gradient and a magnetic field with arbitrary orientation.The effects of the intensity of magnetic field, the angle of inclination of magnetic field and the Biot number at the free surface on both the critical Marangoni number and the flow pattern are made clear. |
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