Summary
Exact solutions are obtained for Stewartson’s equations of the compressible laminar boundary layer including the effects of heat transfer and pressure gradient. Then, after formulation of an extension of Thwaites’ method to include the effects of heat transfer, the exact solutions are used to evaluate the necessary parameters of the new method.
The principal developments of this paper, which is part of the Doctoral Dissertation of the junior author, were carried out under the sponsorship of the Daniel and Florence Guggenheim Foundation at Princeton University. The final analysis and the computations were completed at the Lewis Flight Propulsion Laboratory of the National Advisory Committee for Aeronautics.
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References
Thwaites, B.: Approximate Calculation of the Laminar Boundary Layer. Aero. Quarterly, vol. 1, Nov. 1949, pp. 245–280.
Rott, Nicholas and Crabtree, L.F.: Simplified Laminar Boundary-Layer Calculations for Bodies of Revolution and for Yawed Wings. Jour. Aero. Sci., vol. 19, no. 8, August 1952, pp. 553–566.
Illingworth, C. R.: Steady Mow in the Laminar Boundary Layer of a Gas. Proc. Royal Soc. vol. 199A, 1949, pp. 533–558.
Stewartson, K.: Correlated Incompressible and Compressible Boundary Layers. Proc. Royal Soc, A, Math, and Phys., vol. 200, no. 1060, pp. 84–100. December 1949.
Cohen, C. B.: Similar Solutions for the Laminar Compressible Boundary Layer with Heat Transfer and Pressure Gradient, and Application to Integral Methods. Dissertation, Princeton University, May 1954.
Cohen, C. B., and Reshotko, E.: Similar Solutions for the Compressible Laminar Boundary Layer with Heat Transfer and Pressure Gradient. NACA TN 3325.
Cohen, C. B., and Reshotko, E.: The Compressible Laminar Boundary Layer with Heat Transfer and Arbitrary Pressure Gradient. NACA TN 3326.
Chapman, Dean R., and Rubesin, Morris W.: Temperature and Velocity Profiles in the Compressible Laminar Boundary Layer with Arbitrary Distribution of Surface Temperature. Jour. Aero. Sci., vol. 16, no. 9, Sept. 1949, pp. 547–565.
Falkner, V. M., and Skan, Sylvia W.: Some Approximate Solutions of the Boundary Layer Equations. A.R.C. R. and M. 1314, April 1930.
Crocco, L.: The Laminar Boundary Layer in Gases. Monographie Scientifiche di Aeronautica, no. 3, Dec. 1946 (Translation North American CF-1038).
Hartree, D. R.: On an Equation Occurring in Falkner and Skan’s Approximate Treatment of the Equations of the Boundary Layer. Proc. Cambridge Phil. Soc, vol. 33, pt. 2, April 1937, pp. 223–239.
Brown, Byron W., and Donoughe, Patrick L.: Tables of Exact Laminar-Boundary-Layer Solutions When the Wall is Porous and the Fluid Properties are Variable. NACA TN 2479, 1951.
Clauser, Francis H.: Turbulent Boundary Layers in Adverse Pressure Gradients. Jour. Aero. Sci., vol. 21, no. 2, Feb. 1954, pp. 91–108.
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© 1955 Springer Fachmedien Wiesbaden
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Crocco, L., Cohen, C.B. (1955). Compressible laminar boundary layer with heat transfer and pressure gradient. In: Görtler, H., Tollmien, W. (eds) 50 Jahre Grenzschichtforschung. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-20219-6_28
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DOI: https://doi.org/10.1007/978-3-663-20219-6_28
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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