Rayleigh Flow

Compute star-state relations for 1D flow with heat addition.

visual calculatorCompressible Flow

Read the flow shape before trusting the number.

This page turns a CFD setup into regime, scale, and dominant-effect cues. Adjust the calculator below and compare the moving graphic with the computed result.

input scale

model

check

compressiblerayleighheat addition

formula

KaTeX rendered

\begin{aligned}\text{P/P* = (gamma + 1) / (1 + gamma M\^{}2)}\\[0.35em]\text{T0/T0* = 2 (gamma + 1) M\^{}2 [1 + (gamma - 1) M\^{}2 / 2] / (1 + gamma M\^{}2)\^{}2}\end{aligned}

ASCII source

P/P* = (gamma + 1) / (1 + gamma M^2), T0/T0* = 2 (gamma + 1) M^2 [1 + (gamma - 1) M^2 / 2] / (1 + gamma M^2)^2

γ (ratio of specific heats)Mach number M

M0.500000

T0/T0*0.691358

T/T*0.790123

P/P*1.777778

P0/P0*1.114053

U/U*0.444444

(s* - s)/R0.108004

compressible rayleigh heat addition