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Entropy analysis of third-grade MHD convection flows from a horizontal cylinder with slip

Madhavi K., Prasad V. R., Gaffar S. A., Venkatadri K.

Archive of Mechanical Engineering

2018

Vol. LXV, nr 3

417--440

In thermos ﬂuid dynamics, free convection ﬂows external to diﬀerent geometries, such as cylinders, ellipses, spheres, curved walls, wavy plates, cones, etc., play major role in various industrial and process engineering systems. The thermal buoyancy force associated with natural convection ﬂows can play a critical role in determining skin friction and heat transfer rates at the boundary. In thermal engineering, natural convection ﬂows from cylindrical bodies has gained exceptional interest. In this article, we mathematically evaluate an entropy analysis of magnetohydrodynamic third-grade convection ﬂows from permeable cylinder considering velocity and thermal slip effects. The resulting non-linear coupled partial diﬀerential conservation equations with associated boundary conditions are solved with an eﬃcient unconditionally stable implicit ﬁnite diﬀerence Keller-Box technique. The impacts of momentum and heat transport coeﬃcients, entropy generation and Bejan number are computed for several values of non-dimensional parameters arising in the ﬂow equations. Streamlines are plotted to analyze the heat transport process in a two-dimensional domain. Furthermore, the deviations of the ﬂow variables are compared with those computed for a Newtonian ﬂuid and this has important implications in industrial thermal material processing operations, aviation technology, diﬀerent enterprises, energy systems and thermal enhancement of industrial ﬂow processes.