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arxiv: 1610.09563 · v1 · pith:YGCBC6MOnew · submitted 2016-10-29 · 🌌 astro-ph.GA

Exact analytical solutions for ADAFs

classification 🌌 astro-ph.GA
keywords solutionsanalyticalassumeexactaccretionadafsalphaalready
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We obtain two-dimensional exact analytic solutions for the structure of the hot accretion flows without wind. We assume that the only non-zero component of the stress tensor is $T_{r\varphi}$. Furthermore we assume that the value of viscosity coefficient $\alpha$ varies with $\theta$. We find radially self-similar solutions and compare them with the numerical and the analytical solutions already studied in the literature. The no-wind solution obtained in this paper may be applied to the nuclei of some cool-core clusters.

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