Abstract
Two-dimensional laminar boundary-layer equations of momentum, heat and mass transfer have been numerically solved tinder forced convection. A finite difference approximation of the governing equations in a Göertler-type variable domain has been implemented on computer. To provide rigorous initial conditions at x 0 in the boundary-layer code, differential equations governing heat and mass transfer in the stagnation region have been set up and solved numerically.
The effect of outer flow condition on skin friction as well as heat and mass transfer has been demonstrated. Results obtained made an improvement over past theoretical predictions based on analytical approximation, and agreed favorably with experimental data available.
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Abbreviations
- a:
-
Constant in stagnation region velocity
- Ai :
-
Coefficients in outer flow equation
- C:
-
Concentration
- CP :
-
Specific heat at constant pressure
- D:
-
Binary diffusity
- f:
-
Stagnation function defined by eq. (38)
- F:
-
Normalized velocity defined by eq. (27)
- G:
-
Stagnation function defined by eq. (38)
- L:
-
Characteristic length
- T:
-
Temperature
- u:
-
Streamwise velocity, dimensional
- U:
-
Outer flow velocity, dimensional
- v:
-
Normal velocity, dimensional
- V:
-
Normal velocity defined by eq. (28)
- x:
-
Streamwise coordinate, dimensional
- y:
-
Normal coordinate, dimensional
- y:
-
Stagnation region normal coordinate defined by eq. (38)
- w:
-
Condition at wall
- e:
-
Condition at boundary-layer edge
- *:
-
Dimensionless quantity defined by eqs. (11) and (12)
- Re:
-
Reynolds number = LUoρ/Μ(Uo =-free-stream velocity)
- Sc:
-
Schmidt number = Ν/D
- Sh:
-
Sherwood number = bL/D (b=mass transfer coefficient)
- Pr:
-
Prandtl number = CPΜ/k(k = thermal conductivity)
- α :
-
Thermal diffusity
- η :
-
Normal coordinate defined by eq. (22)
- Μ :
-
Viscosity
- Ν :
-
Kinematic viscosity
- ξ :
-
Streamwise coordinate defined by eq. (21)
- ρ :
-
Density
- ΤΩ :
-
Wall shear stress
- θ :
-
Angle measured from the front stagnation point
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Kim, B.K. Boundary-layer analysis of heat and mass transfer over a circular cylinder in crossflow. Korean J. Chem. Eng. 4, 29–35 (1987). https://doi.org/10.1007/BF02698096
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DOI: https://doi.org/10.1007/BF02698096