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Numerical Simulations of Natural Convection and Entropy Generation in a Square Cavity with an Adiabatic Body

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Applied Mathematics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 146))

Abstract

The present work deals with the numerical simulations of natural convection and entropy generation in a two-sided differentially heated square cavity with an adiabatic square body located at the centre of the cavity. We have applied our recently proposed higher order compact scheme [1] based on nine-point compact stencil to spatial differencing of the streamfunction-vorticity formulation of the two-dimensional incompressible viscous flows governed by Navier–Stokes equations including the energy transport equations. In addition, local entropy generation distributions are computed using the steady-state values of velocity and temperature. The present results are compared with numerical results available in the literature and excellent match is observed in all the cases.

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Correspondence to Swapan K. Pandit .

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Pandit, S.K. (2015). Numerical Simulations of Natural Convection and Entropy Generation in a Square Cavity with an Adiabatic Body. In: Sarkar, S., Basu, U., De, S. (eds) Applied Mathematics. Springer Proceedings in Mathematics & Statistics, vol 146. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2547-8_27

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