An Experimental Determination of the Turbulent Prandtl Number in the Inner Boundary Layer for Air Flow Over a Flat Plate

Snijders, A.L.; Koppius, A. M.; Nieuwvelt, C.; Vries, D. A. de

doi:10.1615/ihtc6.1070

Cited by 5 publications

(4 citation statements)

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“…2 Analytical studies, 3 direct numerical simulations ͑DNS͒, 4,5 and experiments 6,7 all suggest that Pr t has a value between 0.85 and unity in the logarithmic region of the boundary layer, in reasonable agreement with the Reynolds analogy. Larger values for Pr t have been predicted in the viscous sublayer ͑z + Ͻ 5͒ due to the dramatic local decrease in eddy diffusivity.…”

Section: Introductionmentioning

confidence: 62%

A mixing-length formulation for the turbulent Prandtl number in wall-bounded flows with bed roughness and elevated scalar sources

2006

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Turbulent Prandtl number distributions are measured in a laboratory boundary layer flow with bed roughness, active blowing and sucking, and scalar injection near the bed. The distributions are significantly larger than unity, even at large distances from the wall, in apparent conflict with the Reynolds analogy. An analytical model is developed for the turbulent Prandtl number, formulated as the ratio of momentum and scalar mixing length distributions. The model is successful at predicting the measured turbulent Prandtl number behavior. Large deviations from unity are shown in this case to be consistent with measurable differences in the origins of the momentum and scalar mixing length distributions. Furthermore, these deviations are shown to be consistent with the Reynolds analogy when the definition of the turbulent Prandtl number is modified to include the effect of separate mixing length origin locations. The results indicate that the turbulent Prandtl number for flows over complex boundaries can be modeled based on simple knowledge of the geometric and kinematic nature of the momentum and scalar boundary conditions.

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Section: Introductionmentioning

confidence: 62%

A mixing-length formulation for the turbulent Prandtl number in wall-bounded flows with bed roughness and elevated scalar sources

2006

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“…The resulting model isρ u i u k,k τ T ikρ ,k /ρ. (3.1) This relation is equivalent to the leading term in the Ristorcelli (1993) Snijders, Koppius & Nieuwvelt (1983), Kays & Crawford (1993), includes flat plate and pressure gradient data, and Horstman & Owen (1972).…”

Section: Governing Equationsmentioning

confidence: 99%

Extension of equilibrium turbulent heat flux models to high-speed shear flows

Bowersox

2009

J. Fluid Mech.

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An algebraic heat flux truncation model was derived for high-speed gaseous shear flows. The model was developed for high-temperature gases with caloric imperfections. Fluctuating dilatation moments were modelled via conservation of mass truncations. The present model provided significant improvements, up to 20%, in the temperature predictions over the gradient diffusion model for a Mach number ranging from 0.02 to 11.8. Analyses also showed that the near-wall dependence of the algebraic model agreed with expected scaling, where the constant Prandtl number model did not. This led to a simple modification of the turbulent Prandtl number model. Compressibility led to an explicit pressure gradient dependency with the present model. Analyses of a governing parameter indicated that these terms are negligibly small for low speeds. However, they may be important for high-speed flow.

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“…A potentially useful set of heat-transfer experiments was conducted by Browne & Antonia (1979), but unfortunately they do not give values of the friction velocity in their developing boundary layer. Snijders, Koppius & Nieuwvelt (1983) carried out a similar experiment with a tripped layer on a smooth plate with a section at a uniform raised temperature starting at 1.06 m behind the leading edge. They present detailed profiles and surface-flux measurements at a distance 0.443 m from the start of the heated section.…”

Section: Comparison Of Results With Experimental Datamentioning

confidence: 99%

Evaporation from a plane liquid surface into a turbulent boundary layer

Brighton

1985

J. Fluid Mech.

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A new analytic solution is presented for predicting evaporation rates from plane liquid surfaces into a neutral turbulent boundary layer. Conditions of passive dispersion are assumed. Molecular diffusivity is incorporated into the boundary conditions. Both smooth and rough surfaces are considered. A comparison with a wide variety of experimental data is made; this tends to reveal inadequacies and inconsistencies in the data, rather than test the theory. The effects of a roughness change at the boundary of the liquid surface and of high vapour pressures can be included for practical purposes by simple formulae. A criterion is derived for the validity of the neglect of buoyancy effects.

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An Experimental Determination of the Turbulent Prandtl Number in the Inner Boundary Layer for Air Flow Over a Flat Plate

Cited by 5 publications

References 0 publications

A mixing-length formulation for the turbulent Prandtl number in wall-bounded flows with bed roughness and elevated scalar sources

A mixing-length formulation for the turbulent Prandtl number in wall-bounded flows with bed roughness and elevated scalar sources

Extension of equilibrium turbulent heat flux models to high-speed shear flows

Evaporation from a plane liquid surface into a turbulent boundary layer

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