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Viscous flow and heat transfer over a nonlinearly stretching sheet. (English) Zbl 1112.76022
Summary: This paper presents a numerical analysis of flow and heat transfer in a viscous fluid over a nonlinear stretching sheet by employing a novel numerical procedure, and two cases are studied: (i) the sheet with constant surface temperature, and (ii) the sheet with prescribed surface temperature. The governing partial differential equations are converted into highly nonlinear ordinary differential equations by a similarity transformation. The variations of dimensionless surface temperature and its gradient as well as flow and heat transfer characteristics are graphed and tabulated.

76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI
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