Diabatic flow of a compressible fluid
Author:
Bruce L. Hicks
Journal:
Quart. Appl. Math. 6 (1948), 221-237
MSC:
Primary 76.1X
DOI:
https://doi.org/10.1090/qam/26486
MathSciNet review:
26486
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- H. Bateman, The aerodynamics of reacting substances, Proc. Nat. Acad. Sci. U.S.A. 25 (1939), 388–391. MR 1150, DOI https://doi.org/10.1073/pnas.25.7.388
B-2. R. Becker, Impact waves and detonation, NACA TM Nos. 505, 506 [from Zeits. f. Phys. 8, 321-362 (1922)].
C-1. L. Crocco, Eine neue Stromfunktion für die Erforschung der Bewegung der Gase mit Rotation, Zeits. angew. Math. Mech. 17, 1-7 (1937) [from Rend. Acad. Lincei (6) 23, 1$^\circ$ sem., fasc. 2 (1936)].
H-1. B. L. Hicks, Addition of heat to a compressible fluid in motion, NACA ACR No. E5A29, Feb. 1945 (Wartime Report E-88).
H-2. ---, Diabatic flow of a compressible fluid, Phys. Rev. 69, 135 (A), (1946).
H-3. ---, Diabatic, rotational flow in two-dimensions, Phys. Rev. 69, 250 (A) (1946).
- B. L. Hicks, P. E. Guenther, and R. H. Wasserman, New formulations of the equations for compressible flow, Quart. Appl. Math. 5 (1947), 357–361. MR 21788, DOI https://doi.org/10.1090/S0033-569X-1947-21788-0
- Bruce L. Hicks, Donald J. Montgomery, and Robert H. Wasserman, On the one-dimensional theory of steady compressible fluid flow in ducts with friction and heat addition, J. Appl. Phys. 18 (1947), 891–902. MR 23674
- B. L. Hicks, On the characterization of fields of diabatic flow, Quart. Appl. Math. 6 (1949), 405–416. MR 27662, DOI https://doi.org/10.1090/S0033-569X-1949-27662-4
H-7. B. Haurwitz, Dynamic meteorology, McGraw-Hill, New York, 1941.
K-1. J. Kiebel, Conditions for the dynamical possibility of motion of a compressible fluid with given addition of energy, Rec. Geophys. (Leningrad) 5, 3-46 (1932) (in Russian with French summary).
S-1. K. W. Sorg, Supersonic flow in turbines and compressors, J. Roy. Aero. Soc. 46, 64-85 (1942) [from Forschung 10, 270-285 (1939)].
T-1. W. Tollmien, A vortex theorem for iso-energetic flow, R.T.P. No. 1744 [from Luftfahrforschung 19, 145-147 (1942)].
- Hsue-Shen Tsien and Lester Lees, The Glauert-Prandtl approximation for subsonic flows of a compressible fluid, J. Aeronaut. Sci. 12 (1945), 173–187, 202. MR 12015
- Th. von Kármán, Compressibility effects in aerodynamics, J. Aeronaut. Sci. 8 (1941), 337–356. MR 5848
- Andrew Vazsonyi, On rotational gas flows, Quart. Appl. Math. 3 (1945), 29–37. MR 13986, DOI https://doi.org/10.1090/S0033-569X-1945-13986-1
B-1. H. Bateman, The aerodynamics of reacting substances, Proc. Nat. Acad. Sci. 25, 388-391 (1939).
B-2. R. Becker, Impact waves and detonation, NACA TM Nos. 505, 506 [from Zeits. f. Phys. 8, 321-362 (1922)].
C-1. L. Crocco, Eine neue Stromfunktion für die Erforschung der Bewegung der Gase mit Rotation, Zeits. angew. Math. Mech. 17, 1-7 (1937) [from Rend. Acad. Lincei (6) 23, 1$^\circ$ sem., fasc. 2 (1936)].
H-1. B. L. Hicks, Addition of heat to a compressible fluid in motion, NACA ACR No. E5A29, Feb. 1945 (Wartime Report E-88).
H-2. ---, Diabatic flow of a compressible fluid, Phys. Rev. 69, 135 (A), (1946).
H-3. ---, Diabatic, rotational flow in two-dimensions, Phys. Rev. 69, 250 (A) (1946).
H-4. ---, P. E. Guenther and R. H. Wasserman, New formulations of the equations for steady compressible flow, Q. Appl. Math. 5, 357-361 (1947).
H-5. ---, D. J. Montgomery and R. H. Wasserman, On the one-dimensional theory of steady compressible fluid flow in ducts with friction and heat addition, NACA ARR No. E6E22, June 1945 (TN No. 1336, 1947); J. Appl. Phys. 18, 891-902 (1947).
H-6. ---, On the characterization of fields of diabatic flow. Part I—General theory of steady diabatic flow, Ballistic Research Laboratories Report No. 633, May 10, 1947 [see also Phys. Rev. 71, 476 (A) (1947)], to appear in this Quarterly.
H-7. B. Haurwitz, Dynamic meteorology, McGraw-Hill, New York, 1941.
K-1. J. Kiebel, Conditions for the dynamical possibility of motion of a compressible fluid with given addition of energy, Rec. Geophys. (Leningrad) 5, 3-46 (1932) (in Russian with French summary).
S-1. K. W. Sorg, Supersonic flow in turbines and compressors, J. Roy. Aero. Soc. 46, 64-85 (1942) [from Forschung 10, 270-285 (1939)].
T-1. W. Tollmien, A vortex theorem for iso-energetic flow, R.T.P. No. 1744 [from Luftfahrforschung 19, 145-147 (1942)].
T-2. H. Tsien and L. Lees, The Glauert-Prandtl approximation for subsonic flows of a compressible fluid, J. Aero. Sci. 12, 173-188 (1945).
V-1. Th. von Kármán, Compressibility effects in aerodynamics, J. Aero. Sci. 8, 337-356 (1941).
V-2. A. Vazsonyi, On rotational gas flows, Quart. Appl. Math. 3, 29-37 (1945).
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Article copyright:
© Copyright 1948
American Mathematical Society