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Radiation effects on the thermal boundary layer flow over a moving plate with convective boundary condition

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Abstract

The steady laminar boundary layer flow over a moving plate in a moving fluid with convective surface boundary condition and in the presence of thermal radiation is investigated in this paper. Under certain conditions, the present problem reduces to the classical Blasius and Sakiadis problems. The effects of radiation and convective parameters on the thermal field are thoroughly examined and discussed. Dual solutions are found to exist when the plate and the fluid move in the opposite directions.

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Abbreviations

a :

Convective parameter

c :

Constant

C f :

Skin friction coefficient

c p :

Specific heat at constant pressure

f :

Dimensionless stream function

k :

Thermal conductivity

k ∗ :

Mean absorption coefficient

N :

Radiation parameter

Pr :

Prandtl number

q r :

Radiative heat flux

T :

Fluid temperature

T f :

Hot fluid temperature

T w :

Plate temperature

T ∞ :

Ambient temperature

u,v :

Velocity components along the x and y directions, respectively

U :

Composite velocity

U w :

Plate velocity

U ∞ :

Free stream velocity

x,y :

Cartesian coordinates along the plate and normal to it, respectively

α :

Thermal diffusivity

ε :

Velocity ratio parameter

η :

Similarity variable

θ :

Dimensionless temperature

ν:

Kinematic viscosity

ρ :

Fluid density

σ ∗ :

Stefan-Boltzmann constant

τ w :

Wall shear stress

ψ :

Stream function

w :

At the wall

∞:

In the free stream

′:

Differentiation with respect to η

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Authors and Affiliations

  1. School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia

    Anuar Ishak

  2. Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Pahang, 26400, Bandar Jengka, Pahang, Malaysia

    Nor Azizah Yacob

  3. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400, UPM Serdang, Selangor, Malaysia

    Norfifah Bachok

Authors
  1. Anuar Ishak
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  2. Nor Azizah Yacob
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  3. Norfifah Bachok
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Correspondence to Anuar Ishak.

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Ishak, A., Yacob, N.A. & Bachok, N. Radiation effects on the thermal boundary layer flow over a moving plate with convective boundary condition. Meccanica 46, 795–801 (2011). https://doi.org/10.1007/s11012-010-9338-4

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  • DOI: https://doi.org/10.1007/s11012-010-9338-4

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