Summary
The effect of constant suction/blowing on steady two-dimensional laminar forced flow about a uniform heat flux wedge is numerically analyzed. The nonlinear boundary-layer equations were transformed and the resulting differential equations were solved by an implicit finite difference scheme (Keller box method). Numerical results for the velocity distribution, the temperature distribution, the local skin friction coefficient and the local Nusselt number are presented for various values of Prandtl number Pr, pressure gradient parameterm and suction/blowing parameter ξ. In general, it has been found that the local skin friction coeffcient and the local Nusselt number increase owing to suction of fluid. This trend reversed for blowing of fluid. In addition to, as the blowing effect is strong enough, i.e. ξ≦−0.65, the flow separation only occurred in the case ofm=0.0.
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Abbreviations
- C :
-
Constant defined in Eq. (4.2)
- C f :
-
Local skin friction coefficient, 2v(∂u/∂y) y=0/U ∞ 2
- f :
-
Dimensionless stream function defined in Eq. (5.3)
- g :
-
Gravitational acceleration
- h :
-
Local heat transfer coefficient
- k :
-
Thermal conductivity
- m :
-
Pressure gradient parameter, β/(2−β)
- Nu x :
-
Local Nusselt number,hx/k
- Pr:
-
Prandtl number,v/α
- q w :
-
Wall heat flux
- Re x :
-
Local Reynolds number,U ∞ x/v
- T :
-
Temperature
- T w :
-
Wall temperature
- T ∞ :
-
Temperature of ambient fluid
- u :
-
Velocity component in thex-direction
- U ∞ :
-
Potential flow velocity,Cx m
- v :
-
Velocity component in they-direction
- V w :
-
Surface mass transfer
- x :
-
Coordinate along the wedge surface
- y :
-
Coordinate normal to the wedge surface
- α:
-
Thermal diffusivity
- β:
-
Angle factor of the wedge
- η:
-
Pseudosimilarity variable defined in Eq. (5.2)
- ξ:
-
Suction/blowing parameter defined in Eq. (5.1)
- Ω:
-
Total angle of the wedge
- θ:
-
Dimensionless temperature defined in Eq. (5.4)
- ν:
-
Kinematic viscosity
- ψ:
-
Stream function
References
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Koh, J. C. Y., Hartnett, J. P.: Skin-friction and heat transfer for incompressible laminar flow over porous wedges with suction and variable wall temperature. Int. J. Heat Mass. Transfer2, 185–198 (1961).
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Burmeister, L. C.: Convective heat transfer, p. 326. New York: Wiley-Interscience 1983.
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Yih, K.A. Uniform suction/blowing effect on forced convection about a wedge: Uniform heat flux. Acta Mechanica 128, 173–181 (1998). https://doi.org/10.1007/BF01251888
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DOI: https://doi.org/10.1007/BF01251888