Darcy-Forchheimer flows of copper and silver water nanofluids between two rotating stretchable disks

doi:10.1007/s10483-017-2289-8

摘要/Abstract

摘要： This investigation describes the nanofluid flow in a non-Darcy porous medium between two stretching and rotating disks. A nanofluid comprises of nanoparticles of silver and copper. Water is used as a base fluid. Heat is being transferred with thermal radiation and the Joule heating. A system of ordinary differential equations is obtained by appropriate transformations. Convergent series solutions are obtained. Effects of various parameters are analyzed for the velocity and temperature. Numerical values of the skin friction coefficient and the Nusselt number are tabulated and examined. It can be seen that the radial velocity is affected in the same manner with both porous and local inertial parameters. A skin friction coefficient depicts the same impact on both disks for both nanofluids with larger stretching parameters.

关键词: magnetohydrodynamics (MHD), nanofluid, nonDarcy porous medium, viscoplastic dynamics, optimal control, variational principle, finite element method, thermal radiation, stretchable rotating disk

Abstract: This investigation describes the nanofluid flow in a non-Darcy porous medium between two stretching and rotating disks. A nanofluid comprises of nanoparticles of silver and copper. Water is used as a base fluid. Heat is being transferred with thermal radiation and the Joule heating. A system of ordinary differential equations is obtained by appropriate transformations. Convergent series solutions are obtained. Effects of various parameters are analyzed for the velocity and temperature. Numerical values of the skin friction coefficient and the Nusselt number are tabulated and examined. It can be seen that the radial velocity is affected in the same manner with both porous and local inertial parameters. A skin friction coefficient depicts the same impact on both disks for both nanofluids with larger stretching parameters.

Key words: nonDarcy porous medium, thermal radiation, viscoplastic dynamics, optimal control, variational principle, finite element method, nanofluid, magnetohydrodynamics (MHD), stretchable rotating disk

中图分类号:

76W05

T. HAYAT, H. NAZAR, M. IMTIAZ, A. ALSAEDI. Darcy-Forchheimer flows of copper and silver water nanofluids between two rotating stretchable disks[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1663-1678.

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