Prof. Dr. Eng. Alvaro L. de Bortoli UFRGS-IM/DMPA …dbortoli/sp.pdfdynamics and combustion short...
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GMS-DFC GROUP MODELING AND SIMULATION OF FLUID DYNAMICS AND COMBUSTION SHORT PRESENTATION Prof. Dr. Eng. Alvaro L. de Bortoli UFRGS-IM/DMPA GRADUATE PROGRAMS IN - APPLIED MATHEMATICS - CHEMICAL ENGINEERING TEL.: +55 51 3308 6189 R 7087; FAX: +55 51 3308 7301 E-MAIL: [email protected] [email protected]
Transcript of Prof. Dr. Eng. Alvaro L. de Bortoli UFRGS-IM/DMPA …dbortoli/sp.pdfdynamics and combustion short...
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GMS-DFC GROUPMODELING AND SIMULATION OF FLUID
DYNAMICS AND COMBUSTION
SHORT PRESENTATION
Prof. Dr. Eng. Alvaro L. de Bortoli
UFRGS-IM/DMPA
GRADUATE PROGRAMS IN
- APPLIED MATHEMATICS
- CHEMICAL ENGINEERINGTEL.: +55 51 3308 6189 R 7087; FAX: +55 51 3308 7301
E-MAIL: [email protected]
-
SET OF GOVERNING EQUATIONSSOME NATURAL PHENOMENA
LARGE-EDDY SIMULATION – NAVIER WITH MIXING
)~(1
)~~()~( 2 ije
T
jiji
ji Rxx
p
Muu
xu
tτµρρ
∂∂+
∂∂=
∂∂+
∂∂
)~
()~~()
~(
jc
T
jj
j x
Z
SxZu
xZ
t ∂∂
∂∂=
∂∂+
∂∂ µρρ
ℵ−∇+∂∂
∂∂=
∂∂+
∂∂ ~
)~
(2)~
()~~()
~( 2
2"2"2" ρρµρρ ZD
x
Z
SxZu
xZ
t Tjc
T
jj
j
)~
()~~()
~(
jr
T
jj
j x
h
Pxhu
xh
t ∂∂
∂∂=
∂∂+
∂∂ µρρ
-
SET OF GOVERNING EQUATIONSSOME NATURAL PHENOMENA
CHEMISTRY
∑=
=
n
iii ThYh
1
)~~~
KXU
CXY
BUAXX
−=
=
+=&
CONTROL
wZ
Y
L
a
t
Y i
e
i&=
∂∂ℵ−
∂∂
2
2 ~
2
~
-
SOME RESULTS
- (IN)COMPRESSIBLE SUBSONIC FLOWS- TRANSONIC/ SUPERSONIC FLOWS- INCOMPRESSIBLE INTERNAL FLOWS- INTERNAL FLOWS - NON NEWTONIAN- EXPANSIONS - NON NEWTONIAN FLOWS- CONVERGENCE ACCELERATION/ CONTROL- COMBUSTION CHEMISTRY- COMBUSTION/LAMINAR-TURBULENT FLAMES- GRANULAR MEDIUM / DRYING PROCESS- NUCLEAR REACTOR SAFETY- POROUS MEDIA- NATURAL FLOWS
-
(IN)COMPRESSIBLE SUBSONIC FLOWS
INTAKES FANS/PUMPS AUTOMOBILES
200 Km/h
-
TRANSONIC/ SUPERSONIC FLOWS
AIRPLANES LAUNCH VEHICLE
MACH – 0.8Vls - MACH = 2.0
-
SUSPENSIONS CONTROL
AUTOMOBILES
-
INCOMPRESSIBLE INTERNAL FLOWS
EXPANSIONS CAVITIES SOLAR BATTERY
t=10°
-
CAROTID ROTATORY MACHINES
INTERNAL FLOWS - NON NEWTONIAN
JOURNAL BEARINGS
Re=10, De=4,2-3, Ec=0,002
Newtonian
Non Newtonian
-
PSEUDOPLASTIC: n = 0.5 NEWTONIAN: n = 1
EXPANSION - NON NEWTONIAN FLOWS
DILATANT: n = 1.5
-
CONVERGENCE ACCELERATIONNUMERICAL/MATHEMATICAL TREATMENT
ACCELERATION PRECONDITIONING
Convergence Confiability
NORMS
-
COMBUSTION CHEMISTRY
HYDROGEN, METHANOL, ETHANOL (biofuels)
-
COMBUSTION/FLAMES
-
LAMINAR-TURBULENT/COMBUSTION
-
GRANULAR MEDIUM/ DRYING PROCESSHEAT AND MASS TRANSFER
-
NUCLEAR REACTOR SAFETY/COOLING
-
POROUS MEDIA
GLOBAL
LOCAL
-
NATURAL FLOWS
TORNADO
SHARK
