2004
DOI: 10.1108/09615530410544300
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Numerical study of turbulent boundary layers with heat transfer and tangential transpiration

Abstract: The hydrodynamic and thermal characteristics of the turbulent boundary layer developed on a porous wall with heat transfer and various angles of transpiration are analyzed numerically with the proper boundary conditions. The wall functions of the viscous and turbulent sub-layers for velocity and temperature are modified to allow for the effect of the angle of injection and suction through the porous wall. The finite difference method based on a control volume approach is used for solving the time averaged Navi… Show more

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Cited by 8 publications
(5 citation statements)
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“…Along the free boundaries, where the flow field is considered fully developed, the gradients normal to the boundary and normal velocity vanish as: (Equation 10) At the outlet computation domain, which placed at x/H = 25.5 downstream of the cylinder, a zero streamwise gradient is specified as: (Equation 11) In the near‐porous wall region, which has two sub‐layers, two different formulas have been used in computational algorithm. Regarding y‐direction as normal direction, the viscous sub‐layer was simulated as (Equation 12) and in the log‐law layer (Equation 13) has been regarded with the constants of u p + = y p + = 11.5 and κ = 0.4 (Çuhadaroğlu, 2004). Finally, the WFs used in this study can be summarized as follows: (Equation 14) Near the wall, the log‐law region is in local equilibrium so that the rate of turbulence kinetic energy production is approximately equal to its dissipation rate.…”
Section: Mathematical Formulationmentioning
confidence: 99%
See 1 more Smart Citation
“…Along the free boundaries, where the flow field is considered fully developed, the gradients normal to the boundary and normal velocity vanish as: (Equation 10) At the outlet computation domain, which placed at x/H = 25.5 downstream of the cylinder, a zero streamwise gradient is specified as: (Equation 11) In the near‐porous wall region, which has two sub‐layers, two different formulas have been used in computational algorithm. Regarding y‐direction as normal direction, the viscous sub‐layer was simulated as (Equation 12) and in the log‐law layer (Equation 13) has been regarded with the constants of u p + = y p + = 11.5 and κ = 0.4 (Çuhadaroğlu, 2004). Finally, the WFs used in this study can be summarized as follows: (Equation 14) Near the wall, the log‐law region is in local equilibrium so that the rate of turbulence kinetic energy production is approximately equal to its dissipation rate.…”
Section: Mathematical Formulationmentioning
confidence: 99%
“…Meinert et al (2001) showed that transpiration of a foreign gas through a porous wall into a turbulent boundary layer has a strong influence on heat transfer between the wall and the main flow. Çuhadaroğlu (2004) numerically studied the effects of tangential transpiration on the characteristics of turbulent boundary layer and found that local friction coefficient and thermal boundary layer thickness are substantially influenced by the velocity and the angle of transpiration.…”
Section: Introductionmentioning
confidence: 99%
“…The CFD calculation needs to select the fluid and heat transfer model. The model mainly has the turbulence model to select the RNG k-ε model (Merci et al , 2002; Cuhadaroglu, 2004; Raisee et al , 2004; Gorecki and Szumbarski, 2014). When calculating convection, the ideal air equation is selected to describe component concentration and to solve natural convection.…”
Section: Computational Fluid Dynamics Simulation Analysis and Verificationmentioning
confidence: 99%
“…Fransson et al (2004) found that continuous injection and suction at moderate levels through the cylinder walls strongly influenced the surface pressure distribution, vortex shedding frequency and the wake flow behind a porous circular cylinder. Çuhadaroǧlu (2004) numerically analyzed hydrodynamic and thermal characteristics of the turbulent boundary layer and reported that the characteristics of the turbulent boundary layer are essentially affected by velocity and angle of transpiration. An experimental study on the effects of uniform transpiration through one perforated surface of a square cylinder on the pressure distribution and drag coefficient in a 2D turbulent flow was presented by Çuhadaroǧlu et al (2007).…”
Section: Introductionmentioning
confidence: 99%