Effects of external magnetic field on the outflows of an accretion disc |
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| Institution: | 1. Department of Astronomy and Space Sciences, Graduate School of Science and Engineering, ?stanbul University, Beyaz?t, ?stanbul 34116, Turkey;2. Faculty of Engineering and Natural Sciences, Sabanc? University, Tuzla, ?stanbul 34956, Turkey;3. Center of Astronomy, Indian Institute of Technology Indore, Khandwa Road, Simrol, Indore 453552, India;4. Department of Astronomy and Space Sciences, Science Faculty, ?stanbul University, Beyaz?t, ?stanbul 34119, Turkey;5. ?stanbul University Observatory Research and Application Center, Istanbul University, ?stanbul 34119, Turkey;1. Department of Physics and Astronomy, University of Leicester, Leicester LE1 7RH, UK;2. Institute of Astronomy, Madingley Road, Cambridge CB3 0HA, UK |
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| Abstract: | The aim of this work is to study the effects of an external magnetic field generated by a magnetized compact star on the outflows of its accretion disc. For this purpose, we solve a set of magneto-hydrodynamic (MHD) equations for an accretion disc in spherical coordinates to consider the disc structure along the θ-direction. We also consider the magnetic field of a compact star beyond its surface as a dipolar field, producing a toroidal magnetic field inside the disc. We convert the equations to a set of ordinary differential equations (ODEs) as a function of the θ only by applying self-similar assumptions in the radial direction. Then, this set of equations is solved under symmetrical boundary conditions in the equatorial plane to obtain the velocity field. The results are considered in the gas-pressure-dominated (GPD) region and radiation-pressure-dominated (RPD) region as well. The dipolar field of the compact stars can significantly enhance the speed of outflows. It also can change the structure of the disc. The results of this work would be useful in the study of X-ray binaries, the origin of ultra-relativistic outflows, and jet formation around the compact stars. |
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