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Non-Newtonian Effect on Mixed Convection Flow Over an Elliptical Cylinder with Uniform Heat Flux

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Abstract

A numerical study about the convective non-Newtonian flow over a cylinder of elliptical cross-sections is conducted with uniform surface heat flux conditions. The non-Newtonian characteristics of the flow are predicted by the empirically defined modified power-law model that has overcome the singularity raised for the original version. The governing non-dimensional boundary layer equations are obtained in non-similar form employing dimensionless transformations. The resulting non-dimensional equations are numerically resolved by using an implicit finite difference scheme for various pertinent parameters. Numerical results have shown that the boundary layer separation over the cylinder is an active function of the mixed convection parameter and the geometry of the cylinder. Besides, the wall shear stress and surface heat transfer rate are investigated as a function of the eccentric angle. The wall shear-stress gets attenuated, and the rate of energy transfer becomes enhanced for non-Newtonian shear-thinning fluids than the Newtonian fluids and shear-thickening fluids.

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Acknowledgements

The first author acknowledges gratefully to the North South University (NSU) for the financial support as Faculty Research Grant Grant No.: CTRG-20-SEPS-09. The authors also grateful to the Ministry of Science and Technology, Bangladesh (Grant No.: 474-EAS)

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Authors and Affiliations

  1. Department of Mathematics and Physics, North South University, Dhaka, 1229, Bangladesh

    Preetom Nag & M. Mamun Molla

  2. Center for Applied Scientific Computing (CASC), North South University, Dhaka, 1229, Bangladesh

    Preetom Nag & M. Mamun Molla

  3. Department of Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh

    M. Anwar Hossain

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  1. Preetom Nag
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  2. M. Mamun Molla
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  3. M. Anwar Hossain
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Correspondence to M. Mamun Molla.

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Nag, P., Molla, M.M. & Hossain, M.A. Non-Newtonian Effect on Mixed Convection Flow Over an Elliptical Cylinder with Uniform Heat Flux. Int. J. Appl. Comput. Math 8, 75 (2022). https://doi.org/10.1007/s40819-022-01279-4

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