Abstract
An experimental investigation is made to study the heat transfer characteristics of slot jet impingement on a wedge whose included angle is 90°. Local and average heat transfer rates from the wedge surfaces have been measured. The experiments have been conducted with isothermal wedge surface at Reynolds numbers ranging from 5 680 to 16 600. The effects of varying the flow rate, width of the nozzle, distance of the wedge vertex from the nozzle exit, eccentricity of the wedge vertex to the jet axis on the flow properties of the fluid have been investigated. A correlation has been proposed considering the relevant dimensionless parameters and then compared with experimental data.
Zusammenfassung
Ein experimenteller Versuch wurde durchgeführt, um die Wärmeübertragungseigenschaften bei der Spaltung eines Strahls, die beim Aufprall auf einen rechtwinkligen Keil entsteht, zu untersuchen. Gemessen wurde die lokale und mittlere Wärmeübertragungsrate der Keiloberfläche. Dieses Experiment wurde mit einer isothermen Keiloberfläche bei einer Reynolds-Zahl zwischen 5 680–16 600 durchgeführt. Untersucht wurden die Einwirkungen bei der Änderung der Strömungsrate, Düsenbreite, Abstand zwischen Keilscheitel und Düsenausgang, Exzentrizität von Keilscheitel und Strahlachse, sowie die Strömungseigenschaften des Fluids. Unter Betracht der maßgebenden dimensionslosen Parameter wurden Berechnungen durchgeführt und diese mit den experimentellen Daten verglichen.
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Abbreviations
- A :
-
surface area of the wedge
- B :
-
breadth of the wedge or nozzle
- C :
-
face length of the wedge
- c p :
-
specific heat at constant pressure
- Gr C :
-
Grashof number
- H :
-
height of the wedge=C sinφ
- h :
-
local heat transfer coefficient
- \(\bar h\) :
-
average heat transfer coefficient
- h f :
-
free convective heat transfer coefficient
- K :
-
thermal conductivity
- L :
-
distance from the nozzle exit to the wedge vertex
- Nu f :
-
free convection Nusselt number
- Nu W :
-
local Nusselt number=hW/K
- \(\overline {Nu} _w\) :
-
average Nusselt number=\(\bar h\) W/K
- Pr :
-
Prandtl number=μc p /K
- q :
-
heat loss due to forced convection
- q i :
-
heat input
- q f :
-
heat loss due to free convection
- q L :
-
heat loss due to conduction and radiation
- Re W :
-
Reynolds number=u j W/ν a
- \(\overline T\) :
-
average temperature in °C
- T j :
-
jet temperature in °C
- T a :
-
ambient air temperature in °C
- T m :
-
mean temperature=(\(\overline T\)+T a )/2
- u :
-
mean velocity in m/s
- u j :
-
average jet exit velocity in m/s
- W :
-
nozzle width
- x :
-
distance measured from wedge vertex
- φ :
-
angle between upper surface of the wedge and jet center line
- φ′ :
-
angle between lower surface of the wedge and jet center line
- ε :
-
eccentricity of the wedge vertex with the jet center line
- μ :
-
absolute viscosity
- ν :
-
kinematic viscosity
References
Falkner, V. M.; Skan, S. W.: Some approximate solutions of the boundary layer equations. Phil. Mag. 12 (1931) 896–965
Hartree, D. R.: On an equation occurring in Falkner and Skan's approximate treatment of the equations of the boundary layer. Proc. Camb. Phil. Soc. 33 (1921) 223–239
Stewartson, K.: Further solutions of the Falkner-Skan equation. Proc. Camb. Phil. Soc. 50 (1954) 454–465
Morgan, G. W.; Pipkin, A. C.; Warner, W. H.: On heat transfer in laminar boundary layer flows of liquids having a very small Prandtl number. J. Aeronaut. Sci. 25 (1958) 173–180
Spalding, D. B.; Evans, H. L.: Mass transfer through laminar boundary layers. 3. Similar solutions to the b-equation. Int. J. Heat Mass Transfer 2 (1961) 314–341
Levy, S.: Heat transfer to constant property laminar boundary layer flows with power function free-stream velocity and wall temperature variation. J. Aeronaut. Sci. 19 (1952) 341–348
Chao, B. T.; Cheema, L. S.: Forced convection in wedge flow with non-isothermal surface. Int. J. Heat Mass Transfer 14 (1971) 1363–1375
Lee, S. Y.; Ames, W. F.: Similarity solutions for non-Newtonian fluids. AIChE J. 12 (1966) 700–708
Chen, J. L. S.; Radulovic, P. T.: Heat transfer in non-Newtonian flow past a wedge with non-isothermal surface. Trans. ASME J. Heat Transfer 95 (1973) 498–504
Chen, Y.: Heat transfer of a laminar flow passing a wedge at small Prandtl number; a new approach. Int. J. Heat Mass Transfer 28 (1985) 1517–1523
Jeng, D. R.; Lee, M. H.; De Witt, K. J.: Convective heat transfer through boundary layers with arbitrary pressure gradient and non-isothermal surfaces. Int. J. Heat Mass Transfer 21 (1978) 499–509
Domkundwar, S.: A course in heat and mass transfer. Delhi-Jullundur: J. C. Kapoor 1979, p. 12.14.
Cebeci, T.; Bradshaw, P.: Physical and computational aspects of convective heat transfer. New York: Springer 1984, p. 80.
Yamada, H.; Nakamuda, I.: Experiments on a two-dimensional impinging jet on wedge. Bull. JSME No. 252, 29 (1986) 1726–1731
Schuh, H.; Person, B.: Heat transfer on circular cylinders exposed to free-jet flow. Int. J. Heat Mass Transfer 7 (1964) 1257–1271
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Faruque, O., Brahma, R.K. & Arora, R.C. Impingement heat transfer from wedge surface. Wärme - Und Stoffübertragung 26, 175–179 (1991). https://doi.org/10.1007/BF01590118
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DOI: https://doi.org/10.1007/BF01590118