Reinheimer, G. and Beer, Hans (1983):
Einleitung nichtisothermer ebener Strahlen tangential und normal zu einer turbulenten Querströmung zum Zweck der Filmkühlung.
In: Wärme - und Stoffübertragung, 17 (3), pp. 133-145. ISSN 0042-9929,
[Article]
Abstract
The injection of plane cold air jets tangential or/and normal to a turbulent crossflow for the purpose of film cooling of combustion chamber walls is treated by developing a model based on the conservation equations which allows the calculation of the adiabatic wall temperature distribution. Starting with the differential equations of Prandtls boundary layer theory, Gaussian similarity profiles are assumed for the time averaged quantities of velocity and temperature. The different spread of heat and momentum for the jets is considered in the similarity profiles by an experimental expression for the turbulent Prandtl-number. The resulting linear differential equation system is closed by an entrainment hypothesis which pays attention to the suction effect of the jet. An additional ideal model conception is used to define the coupling conditions necessary for the interaction between tangentially and normally injected cold air streams. In order to demonstrate the capability of the mathematical model own experimental results as well as those of other authors are used for comparison with the calculations. The variety of investigated film cooling configurations reaches from pure tangential over pure normal up to the combination of both injection systems.
| Item Type: | Article |
|---|---|
| Erschienen: | 1983 |
| Creators: | Reinheimer, G. and Beer, Hans |
| Title: | Einleitung nichtisothermer ebener Strahlen tangential und normal zu einer turbulenten Querströmung zum Zweck der Filmkühlung |
| Language: | German |
| Abstract: | The injection of plane cold air jets tangential or/and normal to a turbulent crossflow for the purpose of film cooling of combustion chamber walls is treated by developing a model based on the conservation equations which allows the calculation of the adiabatic wall temperature distribution. Starting with the differential equations of Prandtls boundary layer theory, Gaussian similarity profiles are assumed for the time averaged quantities of velocity and temperature. The different spread of heat and momentum for the jets is considered in the similarity profiles by an experimental expression for the turbulent Prandtl-number. The resulting linear differential equation system is closed by an entrainment hypothesis which pays attention to the suction effect of the jet. An additional ideal model conception is used to define the coupling conditions necessary for the interaction between tangentially and normally injected cold air streams. In order to demonstrate the capability of the mathematical model own experimental results as well as those of other authors are used for comparison with the calculations. The variety of investigated film cooling configurations reaches from pure tangential over pure normal up to the combination of both injection systems. |
| Journal or Publication Title: | Wärme - und Stoffübertragung |
| Journal volume: | 17 |
| Number: | 3 |
| Divisions: | 16 Department of Mechanical Engineering 16 Department of Mechanical Engineering > Institute for Technical Thermodynamics (TTD) |
| Date Deposited: | 26 Feb 2015 13:28 |
| Official URL: | http://dx.doi.org/10.1007/BF02570523 |
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