The Blasius equation with three-point boundary conditions
Author:
L. G. Napolitano
Journal:
Quart. Appl. Math. 16 (1959), 397-408
MSC:
Primary 76.00
DOI:
https://doi.org/10.1090/qam/99178
MathSciNet review:
99178
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Abstract: The Blasius equation subject to three-point boundary conditions, describing the interaction between two parallel streams, is solved by way of a series in terms of ascending powers of the ratio $\lambda = ({u_1} - {u_2})/{u_1}$, where the ${u_i}’s$ are the outer streams’ velocities.
- H. Görtler, Berechnung von Aufgaben der freien Turbulenz auf Grund eines neuen Näherungsansatzes, Z. Angew. Math. Mech. 22 (1942), 244–253 (German). MR 8546, DOI https://doi.org/10.1002/zamm.19420220503
- Shih-I. Pai, Fluid dynamics of jets, D. Van Nostrand Company, Inc., Toronto-New York-London, 1954. MR 0071202
L. G. Napolitano, Similar solutions in compressible laminar free mixing problems, Readers’ Forum, J. Aeronaut. Sci. 23, No. 4 (April 1956)
L. G. Napolitano, Two-dimensional plane mixing of homogeneous and non-homogeneous streams, PIBAL Rept. No. 400, Nov. 1957
L. G. Napolitano, Turbulent mixing of two non-reacting gases, PIBAL Rept. No. 323, Jan. 1957
L. G. Napolitano, Incompressible mixing of a shear flow with fluid at rest, PIBAL Rept. No. 318, Nov. 1957
D. R. Hartree, Some properties and applications of the repeated integrals of the error function, Mem. and Proc., Manchester Lit. and Phil. Soc. 80, No. 9, 85-102 (1935)
- Joseph Kaye, A table of the first eleven repeated integrals of the error function, J. Math. and Phys. 34 (1955), 119–125. MR 69575, DOI https://doi.org/10.1002/sapm1955341119
- L. G. Napolitano, The Blasius equation with three-point boundary conditions, Quart. Appl. Math. 16 (1958), 397–408. MR 99178, DOI https://doi.org/10.1090/S0033-569X-1959-99178-6
H. Görtler, Berechnung von Aufgaben der freien Turbulenz auf Grund eines neuen Naherung Sansatzes, Zamm Bd. 22, Nt. 5, 244-254 (Oct. 1942)
S. I. Pai, Fluid dynamic of jets, D. Van Nostrand Co., Inc., New York, 1954
L. G. Napolitano, Similar solutions in compressible laminar free mixing problems, Readers’ Forum, J. Aeronaut. Sci. 23, No. 4 (April 1956)
L. G. Napolitano, Two-dimensional plane mixing of homogeneous and non-homogeneous streams, PIBAL Rept. No. 400, Nov. 1957
L. G. Napolitano, Turbulent mixing of two non-reacting gases, PIBAL Rept. No. 323, Jan. 1957
L. G. Napolitano, Incompressible mixing of a shear flow with fluid at rest, PIBAL Rept. No. 318, Nov. 1957
D. R. Hartree, Some properties and applications of the repeated integrals of the error function, Mem. and Proc., Manchester Lit. and Phil. Soc. 80, No. 9, 85-102 (1935)
J. Kaye, A table of the first eleven repeated integrals of the error function, J. Math, and Phys. (2) 34, 119-125 (1955)
L. G. Napolitano, The Blasius equation with three-point boundary conditions, PIBAL Rept. No. 319, Jan. 1957
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Article copyright:
© Copyright 1959
American Mathematical Society
