Boundary-layer flow of a nanofluid past a stretching sheet.

*(English)*Zbl 1190.80017Summary: The problem of laminar fluid flow which results from the stretching of a flat surface in a nanofluid has been investigated numerically. This is the first paper on stretching sheet in nanofluids. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is presented which depends on the Prandtl number \(Pr\), Lewis number \(Le\), Brownian motion number \(Nb\) and thermophoresis number \(Nt\). The variation of the reduced Nusselt and reduced Sherwood numbers with \(Nb\) and \(Nt\) for various values of \(Pr\) and \(Le\) is presented in tabular and graphical forms. It was found that the reduced Nusselt number is a decreasing function of each dimensionless number, while the reduced Sherwood number is an increasing function of higher \(Pr\) and a decreasing function of lower \(Pr\) number for each \(Le, Nb\) and \(Nt\) numbers.

##### MSC:

80A20 | Heat and mass transfer, heat flow (MSC2010) |

60J65 | Brownian motion |

76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |

##### Keywords:

boundary layer; nanofluid; stretching sheet; Brownian motion; thermophoresis; similarity solution
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\textit{W. A. Khan} and \textit{I. Pop}, Int. J. Heat Mass Transfer 53, No. 11--12, 2477--2483 (2010; Zbl 1190.80017)

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##### References:

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