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Stagnation point flow towards a stretching/shrinking sheet in a micropolar fluid with a convective surface boundary condition
Author(s) -
Yacob Nor Azizah,
Ishak Anuar
Publication year - 2012
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.20517
Subject(s) - stagnation point , mechanics , laminar flow , shooting method , stagnation temperature , heat transfer , flow (mathematics) , matrix similarity , materials science , ordinary differential equation , parasitic drag , boundary value problem , boundary layer , convective heat transfer , convection , thermodynamics , partial differential equation , differential equation , mathematics , physics , mathematical analysis
Abstract The problem of a steady laminar two‐dimensional stagnation point flow towards a stretching/shrinking sheet in a micropolar fluid with a convective surface boundary condition is studied. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation, before being solved numerically using the Runge–Kutta–Fehlberg method with shooting technique. The effects of the material parameter and the convective parameter on the fluid flow and heat transfer characteristics are disscussed. It is found that the skin friction coefficient and the heat transfer rate at the surface decrease with increasing values of the material parameter. Moreover, dual solutions are found to exist for the shrinking case, while for the stretching case, the solution is unique. © 2011 Canadian Society for Chemical Engineering