The effect of heat and momentum losses on the steady solutions admitted by the reactive Euler equations with sink/source terms is examined for stoichiometric hydrogen–oxygen mixtures. Varying degrees of nitrogen and argon dilution are considered in order to access a wide range of effective activation energies, $$E_{\textrm{a,eff}}/R_{\textrm{u}}T_{0}$$
E
a,eff
/
R
u
T
0
, when using detailed thermochemistry. The main results of the study are discussed via detonation velocity-friction coefficient (D–$$c_{\textrm{f}}$$
c
f
) curves. The influence of the mixture composition is assessed, and classical scaling for the prediction of the velocity deficits, $$D(c_{\textrm{f,crit}})/D_{\textrm{CJ}}$$
D
(
c
f,crit
)
/
D
CJ
, as a function of the effective activation energy, $${E}_{\textrm{a,eff}}/R_{\textrm{u}} T_{0}$$
E
a,eff
/
R
u
T
0
, is revisited. Notably, a map outlining the regions where set-valued solutions exist in the $$E_{\textrm{a,eff}}/R_{\textrm{u}}T_{0}\text {--}{\alpha }$$
E
a,eff
/
R
u
T
0
--
α
space is provided, with $$\alpha $$
α
denoting the momentum–heat loss similarity factor, a free parameter in the current study.