https://doi.org/10.1140/epjp/s13360-019-00030-1
Regular Article -
RETRACTED ARTICLE: Entropy generation analysis in MHD flow of viscous fluid by a curved stretching surface with cubic autocatalysis chemical reaction
1
Department of Mathematics, Quaid-I-Azam University 45320, 44000, Islamabad, Pakistan
2
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P. O. Box 80207, 21589, Jeddah, Saudi Arabia
a
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Received:
9
August
2019
Accepted:
17
September
2019
Published online:
14
February
2020
Here characteristic of magnetohydrodynamic flow of viscous liquids due to curved stretchable surface is discussed. Behavior of energy equation is explored in the presence of heat generation, viscous dissipation and Joule heating. Physical behavior of entropy optimization rate is the key focus of this investigation. Cubic autocatalysis chemical reactions (homogeneous and heterogeneous reactions) are also accounted. The basic flow equations are obtained due to the implementation of curvilinear coordinates. Nonlinear partial differential expressions are reduced to ordinary differential system using adequate transformation. The obtained nonlinear system is then solved by Newton built-in shooting technique. Impacts of various physical parameters on entropy optimization, Bejan number, velocity, concentration and temperature are graphically examined. Numerical outcomes of gradients of velocity and temperature are discussed through tables via different physical variables. Entropy optimization rate has increasing effect for both Brinkman and Hartmann numbers, while opposite effect hold for Bejan number. Magnitudes of temperature and velocity boost up for higher estimation of curvature parameter and opposite effect is observed for concentration.
This article has been retracted. Please see the retraction notice for more detail: https://doi.org/10.1140/epjp/s13360-025-06991-w"
A retraction note to this article is available online at https://doi.org/10.1140/epjp/s13360-025-06991-w.
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© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
