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Combined Effect of Surface Undulations and Inclination on Entropy Generation

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Abstract

The use of passive techniques for the improvement of heat transfer processes has been widely made in the heat transferring devices. Sand/grain roughness or the shape alteration of the heat transferring surface is the fundamental strategy of this technique. It is established that the passive techniques result in significant gain in the rate of heat transfer. In this connection, it is natural to think about the role of passive techniques on the entropy generation phenomenon in heat transfer processes. Very few studies are available in literature, in this regard, which report significant effects of surface alteration on entropy generation minimization. In most of such studies, smooth wavy texture of the heat transferring surface is taken into consideration. Entropy generation reduces on increasing the height of surface undulations. In this continuation, it seems natural to consider an inclined wavy surface for quantification of the combined role of surface undulations and the surface inclination on the entropy generation minimization. For this purpose, a mixed convection flow over an inclined wavy surface has been considered in this study. It is revealed that the angle of inclination gives significant rise in the entropy generation. However, it is determined that to minimize the entropy generation in a natural convection flow, one must introduce a forced convection flow simultaneously. In contrast to the flat surface case, particular choice of the surface undulations makes the flow as non-similar in nature. Such a non-similar nature of the flow makes it possible to visualize the entropy generation phenomenon at varies downstream locations. It is observed that at the wall, \({N}_{s}\) increases by 273% when the angle of inclination is raised from 0 to \(\pi{/}{6}\) in natural convection dominated case. However, when the forced convection is dominant, then the entropy generation is seen to reduce by 69% on an inclined wavy surface \((\gamma =\pi /6)\).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

    Sajid Khan & Ahmer Mehmood

  2. Department of Mathematics, University of Wah, Wah Cantt, Pakistan

    Sajid Khan

  3. Department of Mathematics, Islamabad College for Boys G-6/3, Islamabad, Pakistan

    Muhammad Saleem Iqbal

  4. Department of Mathematics, University of Kotli, Azad Jammu & Kashmir, Pakistan

    Amanullah Dar

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  1. Sajid Khan
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Khan, S., Iqbal, M.S., Mehmood, A. et al. Combined Effect of Surface Undulations and Inclination on Entropy Generation. Arab J Sci Eng 48, 3479–3489 (2023). https://doi.org/10.1007/s13369-022-07165-x

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