BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//UNL_UCBCN//NONSGML UNL Event Publisher//EN
X-WR-CALNAME:Math
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTART:20180831T210000Z
UID:130138@events.unl.edu
DTSTAMP:20180507T211333Z
ORGANIZER;CN=unknown:
SUMMARY:Ivan Christov\, Purdue University
DESCRIPTION:Abstract\:\nThe interaction between viscous fluid flows and ela
stic objects is common across many microscale phenomena. I will focus\, sp
ecifically\, on some recent results from and new research directions for m
y research group\, the Transport\: Modeling\, Numerics & Theory laboratory
\n[http\://tmnt-lab.org] at Purdue. The interaction between an internal fl
ow and a soft boundary presents an example of a fluid—structure interact
ion (FSI). This particular type of FSI is relevant to problems from lab-on
-a-chip microdevices for rapid diagnostics to blood pressure measurement c
uffs. Experimentally\, a microchannel or a blood vessel is found to deform
into a non-uniform cross-section due to FSIs. Specifically\, deformation
leads to a non-linear relationship between the volumetric flow rate and th
e pressure drop (unlike Poiseuille’s law) at steady state. We derive thi
s relation via perturbation methods. The Stokes equations for vanishing Re
ynolds number are coupled to the governing equations of an elastic rectang
ular plate or cylindrical shell. Specifically\, the vessel’s deformation
is captured using Donnell—Sanders shell theory or Kirchhoff—Love plat
e theory under the assumption of a thin\, slender geometry. Several mathem
atical predictions arise from this approach\: the flow rate—pressure dro
p relation\, the cross-sectional deformation profile of the soft conduit\,
and the scaling of the maximum displacement with the flow rate. To verify
the mathematical predictions\, we perform fully 3D\, two-way coupled dire
ct numerical simulations using the commercial software suite ANSYS. The nu
merical results are first benchmarked against experimental data in the lit
erature. Then\, the numerical results are compared against the mathematica
l predictions\, showing excellent agreement.
LOCATION:Avery Hall Room 115 Avery Hall
URL://events.unl.edu/math/2018/08/31/130138/
DTEND:20180831T215000Z
END:VEVENT
END:VCALENDAR