Characterization and calculation of steady, compressible, diabatic flow fields
Author:
Donald R Chenoweth
Journal:
Quart. Appl. Math. 22 (1964), 177-191
DOI:
https://doi.org/10.1090/qam/99957
MathSciNet review:
QAM99957
Full-text PDF Free Access
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
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, Diabatic flow of an ideal gas. Circulation and vorticity, (Sect. A7) (Fundamentals of Gas Dynamics, edited by H. W. Emmons) High Speed Aerodynamics & Jet Propulsion, Vol. III, Princeton Univ. Press, 1958, pp. 27–34.
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)
A. H. Shapiro and W. Hawthorne, The mechanics and thermodynamics of steady one-dimensional gas flow, J. Appl. Mech. 14, 317–336 (1947)
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, W. H. Hebrank and S. Kravitz, On the characterization of fields of diabatic flow, Rep. No. 720, Ballistic Research Lab., Aberdeen Proving Ground, July, 1950
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, 513–524 (1961)
V. P. Starr, A mathematical theory of convection, J. Meteor. 6, 188–192 (1949)
B. L. Hicks, On the characterization of fields of diabatic flow, Q. Appl. Math. 6, 405–416 (1949)
B. L. Hicks, Diabatic flow of a compressible fluid, Q. Appl. Math. 6, 221–237 (1948)
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)
A. Vazsonyi, On rotational gas flows, Q. Appl. Math. 3, 29–37 (1945)
R. C. Prim, Steady rotational flow of ideal gases, J. Ratl. Mech. Analysis 1, 425–447 (1952)
B. L. Hicks, P. E. Guenther and R. H. Wasserman, New formulations of the equations for steady compressible flow, Q. Appl. Math. 5, 357–361 (1947)
C. Truesdell, The kinematics of vorticity, Indiana Univ. Press, 1954
R. von Mises, Mathematical theory of compressible fluid flow, Academic Press, Inc., 1958, pp. 82–86, 261–264, 311–329
R. C. Prim, A note on the substitution principle for steady gas flow, J. Appl. Phys. 20, 448–450 (1949)
Additional Information
Article copyright:
© Copyright 1964
American Mathematical Society