Dept. of Power Mechanical Engineering, National Tsing Hua University
description
Transcript of Dept. of Power Mechanical Engineering, National Tsing Hua University
Dept. of Power Mechanical Engineering, National Tsing Hua UniversityKai Fei, Chao-Jen Tsai (Research students), Che-Wun Hong (Professor)
Thermal Lattice Boltzmann Simulations of Two-Phase Flow Thermal Lattice Boltzmann Simulations of Two-Phase Flow in Micro Direct Methanol Fuel Cell Microchannelsin Micro Direct Methanol Fuel Cell Microchannels
ConclusionsConclusionsSimulation ResultsSimulation Results
2007.6
IntroductionIntroductionMicro-direct methanol fuel cells (DMFC) are considered a strong competitor of future power sources for portable equipment. The advantages are high efficiency, high power density, low operation temperature and almost zero pollution.
Electrochemical Reaction
eHCOOHOHCH 66223
2 23/ 2 6 6 3O H e H O
3 2 2 23/ 2 2CH OH O CO H O
Anode :
Overall :
Chemical Reaction
Cathode :
TOSHIBA, HITACHI, SAMSUNG, LG,
SONY, NEC, PANASONIC, Sanyo Electric, IBM, and
etc.
DMFDMFCC
Notebook Computer, Cellular Phone, PDA, MP3
Player, Video Game Console, Digital Camera,
and etc.
ApproachApproachTwo-phase flow (Methanol solution/CO2 bubble) in the microchannels is simulated with the lattice Boltzmann method (LBM) and the thermal lattice Boltzmann method (TLBM) approaches. Hydrophilic, geometric and thermal (Marangoni effect) effects on the bubble dynamics are discussed.
Hot ColdBubble
Liquid
Marangoni effect :Marangoni effect : Liquid flows from a region of high temperature to a region of low temperature and exerts an opposite reaction on the bubble to make it move from the cold region to the warm region.
Objective and MotivationObjective and MotivationCarbon dioxide (CO2) bubbles flow into the diffusion layer and block the porous media if they cannot be removed efficiently, resulting in a decline of the cell performance. Hence, the bubble transport phenomenon in the microchannels is a major issue.
BubbleBubble
Methanol solutionMethanol solution
Microchannel
TLBMTLBM
1, , , ,iX c X X Xeq
i i i if t t t f t f t f t
Lattice Boltzmann equation for flow field :
c0
c8c4
c3
c5
c1
c2c6
c7
Surface tension :
Fluid-solid interaction force :
Buoyancy force :
,X X X caf
a a ai
aGF t t c
,X X X cas
a as w i
i
F t cG t
, ,X X ca ab i
i
F t G t t
fluid-fluid interaction strength
0 0expXa a
fluid-solid interaction strength
1
0
at the wallX c
in the fluidw i t
Lattice Boltzmann equation for temperature field : 1
, , , ,iT
X c X X Xeqi i i ig t t t g t g t g t
, ,X Xa ai
i
t f t , , ,X U X X ca a a
i ii
t t f t
Macroscopic mass density and momentum density :
Macroscopic temperature :
Hydrophilicity EffectHydrophilicity Effect
, ( )X jaTF t G T T
Temperature effect (the Boussinesq approximation) :
X, X, X,ii
t T t g t
Contact Contact AngleAngle
H+
H+
Proton
Methanol solution
Anode Cathode
Proton exchange membrane Catalyst layer Diffusion layer
Carbon dioxide
Water
Direct Methanol Fuel Cell
Oxygen
H+
H+ H+
H+
H+
H+
H+
H+
H+
H+
CO2H2O
H2OH2O
O2
O2
O2
e- e- e-e- e- e- e-e- e-e- e- e-
H2OCH3OH
Electron
Fluid-solid interaction strength vs. contact angle
Contact angle vs. bubble velocity
Geometric effectGeometric effect
Time=12.50ms
Time=37.50ms
Time=25.00ms
Time= 1.75ms
Gs = 0.007 -0.007 Gs = -0.007 0.007
Bubble Velocity = 262.65 m/s Bubble Velocity = 274.29 m/s
Thermal effectThermal effect
Time=12.50ms
Time= 1.75ms
Time=25.00ms
Time=37.50ms
Time=12.50ms
Time= 1.75ms
Time=25.00ms
Time=37.50ms
Bubble Velocity = 323.91 m/s
Bubble velocity vs. temperature gradient
A hydrophilic, divergent channel with a positive temperature gradient is favorable for bubble removal in the microchannels. The results provide important information for the design of the DMFC.
Time=25.00ms
Time= 1.75ms
Time=39.25ms
Inlet Velocity = 40.00 m/s (Bubble Blockage)(Bubble Blockage)
Time=25.00ms
Time= 1.75ms
Time=39.25ms
Inlet Velocity = 50.00 m/s
Time=29.75ms
Time= 1.75ms
Time=71.25ms
Time=29.75ms
Time= 1.75ms
Time=71.25ms
Inlet Velocity = 250.00 m/s
Time=12.50ms
Time= 1.75ms
Time=25.00ms
Time=34.50ms
Bubble Velocity = 319.62 m/s
Inlet Velocity = 250.00 m/s
Time=12.50ms
Time= 1.75ms
Time=25.00ms
Time=34.50ms
Bubble Velocity = 335.34 m/s
Convergent MicrochannelConvergent Microchannel
Divergent MicrochannelDivergent Microchannel
Orificed MicrochannelOrificed MicrochannelStraight MicrochannelStraight MicrochannelGeometric Geometric
effecteffect
Straight channelBasic case
Convergent channel
Divergent channel
HydrophilicitHydrophilicity effecty effect
Hydrophilic ( )
Less hydrophilic ( )
Increased hydrophilicity ( )Decreased hydrophilicity ( )
Thermal Thermal effecteffect
Low temperature ( )
Positive wall temperature gradient ( )
Negative wall temperature gradient ( )
Basic case: hydrophilic walls with high temperature ( ) Arrow length represents the degree of the influence (↑favorable;↓ adverse)。
0.007asG 0.007a
sG
0.004, 333asG T K
0.007 0.007asG
0.007 0.007asG
298T K
35T K 35T K
KT 35