Characterization and calculation of steady, compressible, diabatic flow fields

Chenoweth, Donald R

doi:10.1090/qam/99957

Author: Donald R Chenoweth
Journal: Quart. Appl. Math. 22 (1964), 177-191
DOI: https://doi.org/10.1090/qam/99957
MathSciNet review: QAM99957
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References | Additional Information

D. L. Chapman, Rate of explosion in gases, Phil. Mag. 45, 90–104 (1899)

E. Jouguet, On the propagation of chemical reactions in gases, J. de Math. 1, 347–425 (1905); 2, 1–86 (1906)

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)

D. R. Chenoweth, Characterization and calculation of steady, compressible, diabatic flow fields, Univ. of III. Ph.D. Thesis, Jan., 1962 (Univ. Microfilms Order No. 62–2890)

H. S. Tsien, The equations of gas dynamics. Fundamentals of gas dynamics. Vol. 3. High speed aerodynamics and jet propulsion, Princeton University Press, Princeton, N.J., 1958. MR 0097212

M. Z. Krzywoblocki, Bergman’s linear operator method in the theory of compressible fluid flow, Springer-Verlag, 1960, pp. 128–145.

N. P. Bailey, The thermodynamics of air at high velocities, J. Aero. Sci. 11, 227–238 (1944)

B. L. Hicks, Addition of heat to a compressible fluid in motion, NACA ACR No. E5 A29, 1945 (Wartime Report E-88)

B. L. Hicks, D. J. Montgomery, and R. H. Wasserman, On the one-dimensional theory of steady compressible fluid flow in ducts with friction and heat addition, J. Appl. Phys. 18, 891–902 (1947)

Ascher H. Shapiro and W. R. Hawthorne, The mechanics and thermodynamics of steady one-dimensional gas flow, J. Appl. Mech. 14 (1947), A-317–A-336. MR 0022729

B. L. Hicks, Perturbation of steady uniform flow by localized sources of heat, Phys. Rev. 73, 636 (1948)

H. S. Tsien and M. Beilock, Heat source in uniform flow, J. Aero. Sci. 16, 756 (1949)

B. L. Hicks, An extension of the theory of diabatic flow, Phys. Rev. 77, 286 (1950) (Also see-U.S. Pat. Appli., B. L. Hicks et al, cont. in part as No. 52, 573 filed Aug., 1962)

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

I. I. Pinkel and H. S. Serafini, Graphical method for obtaining flow fields in two-dimensional supersonic streams to which heat is added, NACA TN 2206, 1950

I.I. Pinkel, H. S. Serafini and J. L. Gregg, Pressure distribution and aerodynamic coefficients associated with heat addition to supersonic airstream adjacent to two-dimensional supersonic wing, NACA RM E51K26, 1952

H. Lomax, Two-dimensional, supersonic, linearized flow with heat addition, NASA Memo 1-10-59A, 1959

A. Mager, Supersonic airfoil performance with small heat addition, J. Aero. Sci. 26, 99 (1959)

R. G. Dorsch, J. S. Serafini, E. A. Fletcher and I. I. Pinkel, Experimental investigation of aerodynamic effects of external combustion in airstream below two-dimensional supersonic wing, at Mach 2.5 and 3.0, NASA Memo 1-11-59E, 1959

H. Marsh and J. H. Horlock, Diabatic gas flows, J. Fluid Mech. 10 (1961), 513–524. MR 128762, DOI https://doi.org/10.1017/S0022112061000329
Victor P. Starr, A mathematical theory of convection, J. Meteorol. 6 (1949), 188–192. MR 30419
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
Bruce L. Hicks, Diabatic flow of a compressible fluid, Quart. Appl. Math. 6 (1948), 221–237. MR 26486, DOI https://doi.org/10.1090/S0033-569X-1948-26486-2

D. R. Chenoweth, Exact calculation of steady, compressible diabatic flows, Aero. E. M.S. Thesis, Univ. of Illinois, 1959

B. L. Hicks and D. R. Chenoweth, An exact calculation of some steady, diabatic, two-dimensional fields of compressible flow, J. Aero. Space Sci. 27, 142–144 (1960)

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
R. C. Prim 3rd, Steady rotational flow of ideal gases, J. Rational Mech. Anal. 1 (1952), 425–497. MR 49019, DOI https://doi.org/10.1512/iumj.1952.1.51013
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
C. Truesdell, The kinematics of vorticity, Indiana Univ. Publ. Sci. Ser. no. 19, Indiana University Press, Bloomington, 1954. MR 0075003
Richard von Mises, Mathematical theory of compressible fluid flow, Academic Press, Inc., New York, N.Y., 1958. Applied mathematics and mechanics. Vol. 3. MR 0094996
R. C. Prim III., A note on the substitution principle for steady gas flow, J. Appl. Phys. 20 (1949), 448–450. MR 30377