Compressible Aerodynamics Calculator 3.2
Please use and bookmark the new URL for the Calculator: https://devenport.aoe.vt.edu/aoe3114/calc.html
What's this? .....Smartphone Version (1/31/11)...HP Prime version (8/25/14)...Recently added ..... Air-Breaithing Propulsion Calculator

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Isentropic Flow Relations Perfect Gas, Gamma = , angles in degrees.

INPUT: Mach number T/T0 p/p0 rho/rho0 A/A* (sub) A/A* (sup) Mach angle (deg.) P-M angle (deg.) =

Mach number=			Mach angle=			P-M angle=
p/p0=			rho/rho0=			T/T0=
p/p*=			rho/rho*=			T/T*=			A/A*=

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Normal Shock Relations Perfect Gas, Gamma =

INPUT: M1 M2 p2/p1 rho2/rho1 T2/T1 p02/p01 p1/p02 =

M1=			M2=			p02/p01=			p1/p02=
p2/p1=			rho2/rho1=			T2/T1=

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Oblique Shock Relations Perfect Gas, Gamma = , angles in degrees.

INPUT: M1 = Turn angle (weak shock) Turn angle (strong shock) Wave angle M1n =

M2=			Turn ang.=			Wave ang.=
p2/p1=			rho2/rho1=			T2/T1=
p02/p01=			M1n=			M2n=

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Conical Shock Relations Perfect Gas, Gamma = , angles in degrees.

INPUT: M1 = Cone angle Wave angle Mc =

Mc=			Cone ang.=			Wave ang.=			Shock turn ang.=
p2/p1=			p02/p01=			rho2/rho1=			T2/T1=
pc/p1=			p0c/p01=			rhoc/rho1=			Tc/T1=

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Fanno Flow Perfect Gas, Gamma =

INPUT: Mach number T/T* P/P* Po/Po* (sub) Po/Po* (sup) U/U* 4fL*/D (sub) 4fL*/D (sup) (s*-s)/R (sub) (s*-s)/R (sup) =

M=			T/T*=			P/P*=
Po/Po*=			U/U*=			4fL*/D=
(s*-s)/R=

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Rayleigh Flow Perfect Gas, Gamma =

INPUT: Mach number To/To* (sub) To/To* (sup) T/T* (below Tmax) T/T* (above Tmax) P/P* Po/Po* (sub) Po/Po* (sup) U/U* (s*-s)/R (sub) (s*-s)/R (sup) =

M=			To/To*=			T/T*=
P/P*=			Po/Po*=			U/U*=
(s*-s)/R=

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Javascript by William J. Devenport, Department of Aerospace and Ocean Engineering, Virginia Tech.
Last update 14th December 2023 (with the assistance of Neil Sandham, U. Southampton). Please send comments, questions, or suggestions to: William Devenport
Fanno Flow and Rayleigh Flow calculators by Adam Ford, included 7^th February 2008, updated 2022 and 2023.
Rayleigh Flow updates by Amir Mittelman, University of Queensland, August 2022.
Conical flow calculator by Stephen Krauss, included 5^th January 2014.