  The Chamblin-Reall background is a static solution of Einstein gravity
coupled with a background scalar field and a dynamical domain wall, with the
potential of the scalar field being of Liouville type. It can be got by
dimensionally reducing a higher dimensional background with a constant
potential. Compactified AdS black holes are black hole backgrounds constructed
by wrapping one or more spatial directions of a higher dimensional AdS black
hole on a torus and then integrating them out. The compactified AdS black hole
background is asymptotically flat, non-conformal, and of Chamblin-Reall type.
In this work, we derive all the 7 dynamical second-order transport coefficients
for the relativistic fluids dual to compactified AdS black holes of various
dimensions via fluid/gravity correspondence. Through this work, we achieve
three main goals: (1) We prove that all the gravitational backgrounds that can
be used to extract analytical results for second-order transport coefficients
hitherto are all Chamblin-Reall type backgrounds. (2) We generalize the results
in previous studies on the second-order transport coefficients of the
relativistic fluids dual to 5-dimensional Chamblin-Reall model into general
dimensions. (3) We offer a thorough study on the Kanitscheider-Skenderis
proposal and find its physical accounts.
