Department of Mathematics, Ambo University, Ambo, Ethiopia
https://doi.org/10.1186/s42787-019-0042-9
Abstract
In this article, the Hall and ion-slip effects on a mixed convection flow of an electrically conducting nanofluid over a stretching sheet in a permeable medium have been discussed. Using the similarity transformations, the partial differential equations corresponding to the momentum, energy, and concentration equations are transformed to a system of nonlinear ordinary differential equations which are solved numerically using a spectral relaxation method (SRM). The effects of significant parameters on the velocities, temperature, and concentration profiles are analyzed graphically. Moreover, the results of the skin friction coefficients, local Nusselt number, and Sherwood number are determined numerically. The results of the analysis showed that the velocity profile in the flow direction increases with an increase in mixed convection parameter λ, Hall parameter βh, and ion-slip parameter βi , and it decreases with an increase in the magnetic parameter M. Furthermore, temperature and concentration profiles decrease as the mixed convection parameter λ and buoyancy ratio Nr increase. It is also observed that the skin friction coefficients, local Nusselt number, and Sherwood number increase with an increase in the Hall parameter βh, mixed convection parameter λ, and buoyancy ratio Nr.
Ibrahim, W., & Anbessa, T. (2019). Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method. Journal of the Egyptian Mathematical Society, 27(1), 1-21. doi: https://doi.org/10.1186/s42787-019-0042-9
MLA
Wubshet Ibrahim; Temesgen Anbessa. "Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method", Journal of the Egyptian Mathematical Society, 27, 1, 2019, 1-21. doi: https://doi.org/10.1186/s42787-019-0042-9
HARVARD
Ibrahim, W., Anbessa, T. (2019). 'Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method', Journal of the Egyptian Mathematical Society, 27(1), pp. 1-21. doi: https://doi.org/10.1186/s42787-019-0042-9
VANCOUVER
Ibrahim, W., Anbessa, T. Mixed convection flow of nanofluid with Hall and ion-slip effects using spectral relaxation method. Journal of the Egyptian Mathematical Society, 2019; 27(1): 1-21. doi: https://doi.org/10.1186/s42787-019-0042-9
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