  We analyze the phenomenon of size-flow transmutation in ultrarelativistic
nuclear collisions in a model where the initial size fluctuations are driven by
the wounded quarks and the collectivity is provided by viscous hydrodynamics.
It is found that the model properly reproduces the data for the transverse
momentum fluctuations measured for Pb+Pb collisions at 2.76TeV by the ALICE
Collaboration. The agreement holds for a remarkably wide range of centralities,
from 0-5% up to 70-80%, and displays a departure from a simple scaling with
$(dN_{\rm ch}/d\eta)^{1/2}$ in the form seen in the data. The overall agreement
in the model with wounded quarks is significantly better than with nucleon
participants. This feature joins the previously-found wounded quark
multiplicity scaling in the argumentation in favor of subnucleonic degrees of
freedom in the early dynamics. We also examine in detail the correlations
between measures of the initial size and final average transverse momentum of
hadrons. Predictions are made for the transverse momentum fluctuations in p+Pb
collisions at 5.02TeV.
