characterization of complex flows in the vicinity of … zurich 2016.pdf · icr 2012 aerc 2013 aerc...

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ESR CHARACTERIZATION OF COMPLEX FLOWS IN THE VICINITY OF THE SEPARATION/STAGNATION POINTS Iulia-Rodica Damian, Stefan Simionescu, Nicoleta-Octavia Tanase, Diana Broboana, Corneliu Balan REOROM - “Politehnica” University, Bucharest, Romania Romanian Society Rheology COMPUTATIONAL RHEOMETRY AN USEFUL TOOL TO ANALYSE THE RHEOLOGICAL MEASUREMENTS ICR 2012 AERC 2013 AERC 201 4 Patterned lower plate RHEO - PATT By REOROM Rheometry of complex fluids in presence of patterned surfaces Exploratory Research Projects PCE The locations on solid surfaces of the critical points: impact point IP and separation point SP, where WSS = 0, are related with the wall pressure distribution; the influence of the shear thinning viscosity. 20th Anniversary Meeting of the European Society of Rheology 01 April, ETH Zürich 201 6 10 -2 10 -1 10 0 10 1 10 2 10 3 10 4 10 5 10 -2 10 -1 10 0 10 1 10 2 Shear stress [Pas] Shear rate [1/s] n - value [-] - 1.0 - 0.1 0.0 0.2 0.7 1.0 unstable model for n < 0 0 AERC 2015 ICR 201 6 0,00000 0,00005 0,00010 0,00015 0,00020 0,00025 10 -3 10 -2 10 -1 10 0 10 1 10 2 10 3 WSS < 0 DP WSS - Wall Shear Stress y - wall direction - 1 0.0 0.2 0.7 1.0 IP WSS < 0 0,00000 0,00005 0,00010 0,00015 0,00020 0,00025 10 -2 10 -1 10 0 10 1 10 2 10 3 DP IP - 1 0.0 0.2 0.7 1.0 Pressure (module) [Pa] y - wall direction IP SP RHEOMETRY IN THE PRESENCE OF PATTERNED AND MICROSTRUCTURED SURFACES Tested Carreau viscosity function VORTICES FORMATION IN THE VICINITY OF PATTERNED SURFACES WITH CAVITIES AND PILLARS 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0 2000 4000 6000 8000 10000 12000 14000 16000 18000 20000 22000 p max p cr Wall pressure [Pa] pressure x - wall direction -1000 -800 -600 -400 -200 0 200 400 600 800 IP wss WSS [Pa] IP IP IP SP IP and SP in the Taylor-Couette flow (iso-pressure and stream lines) Poiseuille flow in a channel stream lines iso-pressure 0 = 1+ 2 −1 2 =0 3 3 =0 IP SP Experiments Numerics ℛℯ < 10 =1 = 0.7 = 0.2 = −1 =1 = −1 corner vortex IP IP = 0.2 = −1 u pper rotational plate in vicinity of pillars viscosity distributions on pillars surface y constant velocity =1 = −1 wall stresses distribution and location of critical points x

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Page 1: CHARACTERIZATION OF COMPLEX FLOWS IN THE VICINITY OF … Zurich 2016.pdf · ICR 2012 AERC 2013 AERC 2014 Patterned lower plate 𝝎 RHEO-PATT By REOROM Rheometry of complex fluids

ESR

CHARACTERIZATION OF COMPLEX FLOWS IN THE VICINITY OF THE SEPARATION/STAGNATION POINTS

Iulia-Rodica Damian, Stefan Simionescu, Nicoleta-Octavia Tanase, Diana Broboana, Corneliu BalanREOROM - “Politehnica” University, Bucharest, Romania

Romanian Society Rheology

COMPUTATIONAL RHEOMETRY AN USEFUL TOOL TO ANALYSE

THE RHEOLOGICAL MEASUREMENTS

ICR 2012AERC 2013AERC 2014

Patterned lower plate

𝝎

RHEO-PATTBy REOROM

Rheometry of complex fluids in presence of patterned surfaces

Exploratory Research Projects PCE

The locations on solid surfaces of the critical points: impact point – IP and separation point – SP, where WSS = 0, are related with the wall pressure distribution; the influence of the shear thinning viscosity.

20th Anniversary Meeting of the European Society of

Rheology

01 April, ETH Zürich 2016

10-2

10-1

100

101

102

103

104

105

10-2

10-1

100

101

102

Shea

r st

ress

[P

as]

Shear rate [1/s]

n - value [-]

- 1.0

- 0.1

0.0

0.2

0.7

1.0

unstable model

for n < 0

0

AERC 2015ICR 2016

0,00000 0,00005 0,00010 0,00015 0,00020 0,00025

10-3

10-2

10-1

100

101

102

103

WSS < 0

DP

WS

S -

Wall

Shear

Str

ess

y - wall direction

- 1

0.0

0.2

0.7

1.0

IP

WSS < 0

0,00000 0,00005 0,00010 0,00015 0,00020 0,00025

10-2

10-1

100

101

102

103

DPIP

- 1

0.0

0.2

0.7

1.0

Pre

ssu

re (

mo

du

le)

[Pa

]

y - wall direction

IP

SP

RHEOMETRY IN THE PRESENCEOF PATTERNED AND

MICROSTRUCTURED SURFACES

Tested Carreau viscosity function

VORTICES FORMATION IN THE VICINITY OF PATTERNED SURFACES WITH CAVITIES AND PILLARS

0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

0

2000

4000

6000

8000

10000

12000

14000

16000

18000

20000

22000

pmax

pcr

Wal

l pre

ssu

re [

Pa]

pressure

x - wall direction

-1000

-800

-600

-400

-200

0

200

400

600

800

IP

wss

WSS

[P

a]

IP

IP

IP SP

IP and SP in the Taylor-Couette flow(iso-pressure and stream lines)

Poiseuille flow in a channel

stream lines

iso-pressure

𝜂 𝛾 − 𝜂∞𝜂0 − 𝜂∞

= 1 + 𝜆 𝛾 2𝑛−12

𝜕𝑝

𝜕𝑥= 0𝜕3𝑝

𝜕𝑥3= 0

𝑝𝑐𝑟

𝑝𝑚𝑎𝑥

IP

SP

Experiments Numerics

ℛℯ < 10

𝑛 = 1 𝑛 = 0.7 𝑛 = 0.2 𝑛 = −1

𝑛 = 1𝑛 = −1

corner vortex

𝜔

𝜔IP

IP

𝑛 = 0.2 𝑛 = −1

upper rotational plate in vicinity of pillars

viscosity distributions on pillars surface

yconstant velocity

𝑛 = 1

𝑛 = −1

wall stresses distribution and location of critical points

x