The UMIST-N Near-Wall Treatment Applied to Periodic Channel Flow

CHAPTER 1. INTRODUCTION & LITERATURE SURVEY 13
not appear in the present work.
Periodic flow provides an interesting test case, because it offers insight into
some of the more illusive physical behaviours of a flow even in relatively
simple geometries. Various experimentalists have investigated periodic flow
in pipe and channel geometries. Sarpkaya [66] investigated periodically- and
randomly-pulsed flow in a pipe from the standpoint of understanding the
conditions under-which the flow transitioned to turbulence. Ohmi & Iguchi
[48] performed an investigation in a similar vein, and Ohmi et al. [49, 50] also
investigated higher Reynolds numbers. Tu & Ramaprian [82, 57] performed
widely-recognised experimental work into periodic pipe flow at a rather high
Reynolds number. More recently, Tardu et al. [79] have investigated periodic
channel flow. Hino et al. [24] performed an investigation of periodic flow at
approximately the same time as Tu & Ramaprian, but their use of a rectan-
gular duct geometry may have impacted the receptiveness of the modelling
community to their results.
Other interesting studies bear mentioning. Shemer et al. [68] offered a com-
parison between laminar and turbulent flows at the same Reynolds number
and under the same periodic conditions. Sleath [71] and Jensen et al. [26]
investigated the impact of various surface roughnesses. Siginer [70] investi-
gated periodic pipe flow using a non-Newtonian fluid. Scotti & Piomelli [67]
have applied LES to periodic channel flow at a range of oscillation frequen-
cies. Lee et al. [36] and Walther et al. [85] have investigated heat transfer
in periodic flow. Lodahl et al. [38] have investigated periodic pipe flow with
a periodic applied electric current.
Furthermore, internal combustion engine experiments offer insight into pe-