1
Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt.
2
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71515, Egypt.
https://doi.org/10.1186/s42787-021-00123-w
Abstract
A steady MHD boundary layer fow of Powell–Eyring dusty nanofuid over a stretching surface with heat fux condition is studied numerically. It is assumed that the fuid is incompressible and the impacts of thermophoresis and Brownian motion are taken into regard. In addition, the Powell–Eyring terms are considered in the momentum boundary layer and thermal boundary layer. The dust particles are seen as to be having the same size and conform to the nanoparticles in a spherical shape. We obtain a sys‑ tem of ordinary diferential equations that are suitable for analyzed numerically using the fourth-order Runge–Kutta method via software algebraic MATLAB by applying appropriate transformations to the system of the governing partial diferential equa‑ tions in our problem. There is perfect compatibility between the bygone and current results when comparing our numerical solutions with the available data for values of the selected parameters. This confrms the validity of the method used here and thus the validity of the results. The infuence of some parameters on the boundary layer profles (the velocity and temperature for the particle phase and fuid phase, and nano‑ particle concentration) is discussed. The results of this study display that the profles of the velocity for particle and fuid phases increase with increasing Powell–Eyring fuid parameter, but reduce with height in magnetic feld values. Mass concentration of the dust particles decreases the temperature of both the particle and fuid phases. The results also indicate the concentration of nanoparticle contraction as Schmidt number increases
Abo‑zaid, O. A., Mohamed, R. A., Hady, M., & Mahdy, A. (2021). MHD Powell–Eyring dusty nanofuid fow due to stretching surface with heat fux boundary condition. Journal of the Egyptian Mathematical Society, 29(1), 1-14. doi: https://doi.org/10.1186/s42787-021-00123-w
MLA
Omima A. Abo‑zaid; R. A. Mohamed; M. Hady; A. Mahdy. "MHD Powell–Eyring dusty nanofuid fow due to stretching surface with heat fux boundary condition", Journal of the Egyptian Mathematical Society, 29, 1, 2021, 1-14. doi: https://doi.org/10.1186/s42787-021-00123-w
HARVARD
Abo‑zaid, O. A., Mohamed, R. A., Hady, M., Mahdy, A. (2021). 'MHD Powell–Eyring dusty nanofuid fow due to stretching surface with heat fux boundary condition', Journal of the Egyptian Mathematical Society, 29(1), pp. 1-14. doi: https://doi.org/10.1186/s42787-021-00123-w
VANCOUVER
Abo‑zaid, O. A., Mohamed, R. A., Hady, M., Mahdy, A. MHD Powell–Eyring dusty nanofuid fow due to stretching surface with heat fux boundary condition. Journal of the Egyptian Mathematical Society, 2021; 29(1): 1-14. doi: https://doi.org/10.1186/s42787-021-00123-w
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