, Volume 45, Issue 3, pp 367–373 | Cite as

Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect

  • Anuar Ishak


In the present paper, we study the effects of radiation on the thermal boundary layer flow induced by a linearly stretching sheet immersed in an incompressible micropolar fluid with constant surface temperature. Similarity transformation is employed to transform the governing partial differential equations into ordinary ones, which are then solved numerically using the Runge-Kutta-Fehlberg method. Results for the local Nusselt number as well as the temperature profiles are presented for different values of the governing parameters. It is found that the heat transfer rate at the surface decreases in the presence of radiation. Comparison with known results for certain particular cases is excellent.


Boundary layer Heat transfer Micropolar fluid Radiation Stretching sheet Fluids mechanics 





specific heat at constant pressure


dimensionless stream function


dimensionless microrotation


microinertia density


thermal conductivity


mean absorption coefficient


material parameter


boundary parameter


microrotation or angular velocity


radiation parameter


Prandtl number


radiative heat flux


fluid temperature


surface temperature


ambient temperature


velocity components in the x- and y-directions, respectively


velocity of the stretching sheet


Cartesian coordinates along the sheet and normal to it, respectively

Greek Letters


thermal diffusivity


thermal expansion coefficient


spin gradient viscosity


similarity variable


dimensionless temperature


vortex viscosity


kinematic viscosity


dynamic viscosity


fluid density


Stefan-Boltzmann constant


stream function



condition at the solid surface

ambient condition


differentiation with respect to η


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.School of Mathematical Sciences, Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaUKM Bangi, SelangorMalaysia

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