Boundary-layer non-Newtonian flow over vertical plate in porous medium saturated

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*d&V.S$S)I5G/y/EMt0Boundary-layer non-Newtonian flow over vertical plate in porous medium saturated with nanofluid

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9|.uj'w@Vy0Abstract:The free convective heat transfer to the power-law non-Newtonian flow from a vertical plate in a porous medium saturated with nanofluid under laminar conditions is investigated.It is considered that the non-Newtonian nanofluid obeys the mathematical model of power-law.The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis.The partial differential system governing the problem is transformed into an ordinary system via a usual similarity transformation.The numerical solutions of the resulting ordinary system are obtained.These solutions depend on the power-law index n,Lewis number Le,buoyancy-ratio number Nr,Brownian motion number Nb,and thermophoresis number Nt.For various values of n and Le,the effects of the influence parameters on the fluid behavior as well as the reduced Nusselt number are presented and discussed.

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F. M. HADY[1] F. S. IBRAHIM[1] S. M. ABDEL-GAIED[2] M. R. EID[2]水利论文b[Wl} d

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作者单位:

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'w+A.w)w$O$iD0Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptDepartment of Science and Mathematics, Faculty of Education, Assiut University,The New Valley 72111, Egypt水利论文E x.@ `|5I-kE

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K#s3O{:r kN7h0应用数学和力学(英文版)

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Journal:

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Applied Mathematics and Mechanics水利论文8rc;Y%hx5e

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2011, 32(12)水利论文,ZH{yd2Q-cOZ

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:\;a0b&Y7J3w.qJV0Keywords:

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non-Newtonian

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free convection水利论文(]9T3F8~Pbo ? U5G

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C5[+j;q)p:mk x fM.o F0porous media水利论文"k)V{ [;|;O cx']

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porous medium Brownian motion power-law convective heat transfer numerical solutions differential system mathematical model Nusselt number influence Lewis index flow via水利论文\#Nc2{ U&u}

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