sr !com.femlab.server.ModelFileHeaderD% L tagst Lcom/femlab/util/FlStringList;L typesq ~ L vrsnt Lcom/femlab/util/FlVersion;xpw sr com.femlab.util.FlVersion%/B
= I buildI majorL datet Ljava/lang/String;L extq ~ L nameq ~ L rcsq ~ L reactionExtq ~ L reactionNameq ~ xpw t q ~ t #COMSOL Reaction Engineering Lab 3.5t at
COMSOL 3.5q ~ w [t $Name: $t $Date: 2008/12/03 17:02:19 $xur [Ljava.lang.String;V {G xp t modelinfot xfemt guit g1t g2t fem1uq ~
q ~ t femstructt guistructt drawq ~ t geomxsr com.femlab.api.client.ModelInfo ^% L descrq ~ L docURLq ~ [ imaget [Bxpw pt"Model is with a rotating magnetic field in a cylinder with ferrofluid with boundary condition of omega=0. If this boundary condition is removed there is no flow.
Parameters picked are similar to those from Chaves's papers normalized. Look at Calculation_normalized_velocity_alexchaves.xls
pxuq ~
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COMSOL 3.5a0603$Name: $
$Date: 2008/12/03 17:02:19 $
2geomononoffononoffon0.1tFlNavierStokescartesian
{"u","v","w","p","nxw","nyw","nzw"}
{"x","y","z"}
ns
{"shlag(2,'u')","shlag(2,'v')","shlag(2,'w')","shlag(1,'p')"}
2off_nsLagp2p1staticOff
ref
off
{"lm3","lm4","lm5","lm6"}
ideal0
{1,1,1,1,1,1,1,1,2,1,1,1}
uvpnoslipntotstresstotstresscontU0in0000010000
{1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1}
00.51gls0.25sc0.35010.10navierstokesusesGMG0Lagp2p10Lagp2p1000
{1,2}
10FlDiffusioncartesian
{"s"}
{"x","y","z"}
di
{"shlag(2,'s')"}
422off_diLag2static
ref
off
{"lm7"}
ideal
{"0"}
{"0"}
{"0"}
{"0"}
1
{"0"}
{1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1}
{"0"}
{"iso"}
{"1"}
{1,2}
FlConvDiffcartesian
{"M_x"}
{"x","y","z"}
cd
{"shlag(2,'M_x')"}
422off_cdLag2timenoncons
ref
off
{"lm8"}
ideal
{"0"}
{"0"}
1
{"0"}
{1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1}
{"0"}
{"iso"}
{"1"}
{"0"}
{"0.5"}
{"0"}
{"pgc"}
{"0.25"}
{"0"}
{"sc"}
{"0.35"}
{1,2}
FlConvDiffcartesian
{"M_y"}
{"x","y","z"}
cd2
{"shlag(2,'M_y')"}
422off_cd2Lag2timenoncons
ref
off
{"lm9"}
ideal
{"0"}
{"0"}
1
{"0"}
{1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1}
{"0"}
{"iso"}
{"1"}
{"0"}
{"0.5"}
{"0"}
{"pgc"}
{"0.25"}
{"0"}
{"sc"}
{"0.35"}
{1,2}
FlConvDiffcartesian
{"M_z"}
{"x","y","z"}
cd3
{"shlag(2,'M_z')"}
422off_cd3Lag2timenoncons
ref
off
{"lm1"}
ideal
{"0"}
{"0"}
1
{"0"}
{1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1}
{"0"}
{"1"}
{"iso"}
{"1"}
{"0"}
{"0.5"}
{"0"}
{"pgc"}
{"0.25"}
{"0"}
{"sc"}
{"0.35"}
{1,2}
FlPDEGcartesian
{"avgv","avgv_t"}
{"x","y","z"}
g2
{"shlag(2,'avgv')"}
422off_g2Lag2off
ref
off
{"lm12","lm13"}
{"0"}
{"0"}
{"0"}
{"0"}
ideal
{1,1,1,1,1,1,1,1,1,1,1,1}
{"0"}
{"0"}
{"0"}
{"0"}
ideal
{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}
{"0"}
{"0"}
{"0"}
{"0"}
ideal
{"0"}
{"-avgv"}
dir
{1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1}
{"0"}
{"0"}
{"0"}
{"0"}
ideal
{"0"}
{"0"}
{"1"}
{1,2}
MagnetostaticsNoCurrentscartesian
{"Vm"}
{"x","y","z"}
emncACDC
{"shlag(2,'Vm')"}
422on_emncLag2Vm
ref
off
{"lm2"}
ideal00
{1,1,1,1,1,1,1,1,1,1,1,1}
0H0*(x*cos(t)+y*sin(t))*flc2hs(t-1,0.05)11000sym2
{1,1,1,1,2,2,2,2,1,1,2,2,1,2,2,1}
{"0"}
1 mu0_emnc*normH_emncdr_guess_emncR0_guess_emncnone0
{1,2}
1
{"x","y","z"}
{"ref"}
{"shlag(2,'Vm')","shlag(2,'u')","shlag(2,'v')","shlag(2,'w')","shlag(1,'p')","shlag(2,'s')","shlag(2,'M_x')","shlag(2,'M_y')","shlag(2,'M_z')","shlag(2,'avgv')"}
2on1SI
{1,1}
{"u","v","w","p","s","M_x","M_y","M_z","avgv","Vm"}
00x00y00z00detJ_emncmu0_emnc*mur_emncmu0_emnc*murxx_emncmu0_emnc*murxy_emncmu0_emnc*murxz_emncmu0_emnc*muryx_emncmu0_emnc*muryy_emncmu0_emnc*muryz_emncmu0_emnc*murzx_emncmu0_emnc*murzy_emncmu0_emnc*murzz_emnc-Vmx-Vmy-Vmzsqrt(abs(Bx_emnc)^2+abs(By_emnc)^2+abs(Bz_emnc)^2)sqrt(abs(Mx_emnc)^2+abs(My_emnc)^2+abs(Mz_emnc)^2)sqrt(abs(Hx_emnc)^2+abs(Hy_emnc)^2+abs(Hz_emnc)^2)sqrt(abs(Brx_emnc)^2+abs(Bry_emnc)^2+abs(Brz_emnc)^2)dVol_emnc*Wm_emncmu0_emnc*normH_emncdr_guess_emncR0_guess_emnc0001000000Sdx_guess_emncSdy_guess_emncSdz_guess_emncS0x_guess_emncS0y_guess_emncS0z_guess_emnc1110000001100000011murxx_emnc100010001
{0,0}
{1,2}
{"u","v","w","p","s","M_x","M_y","M_z","avgv","Vm"}
-VmTx-VmTy-VmTzsqrt(abs(tHx_emnc)^2+abs(tHy_emnc)^2+abs(tHz_emnc)^2)1Bx_emnc*nx+By_emnc*ny+Bz_emnc*nz-0.5*(up(Bx_emnc)*up(Hx_emnc)+up(By_emnc)*up(Hy_emnc)+up(Bz_emnc)*up(Hz_emnc))*dnx+(up(Hx_emnc)*dnx+up(Hy_emnc)*dny+up(Hz_emnc)*dnz)*up(Bx_emnc)-0.5*(up(Bx_emnc)*up(Hx_emnc)+up(By_emnc)*up(Hy_emnc)+up(Bz_emnc)*up(Hz_emnc))*dny+(up(Hx_emnc)*dnx+up(Hy_emnc)*dny+up(Hz_emnc)*dnz)*up(By_emnc)-0.5*(up(Bx_emnc)*up(Hx_emnc)+up(By_emnc)*up(Hy_emnc)+up(Bz_emnc)*up(Hz_emnc))*dnz+(up(Hx_emnc)*dnx+up(Hy_emnc)*dny+up(Hz_emnc)*dnz)*up(Bz_emnc)-0.5*(down(Bx_emnc)*down(Hx_emnc)+down(By_emnc)*down(Hy_emnc)+down(Bz_emnc)*down(Hz_emnc))*unx+(down(Hx_emnc)*unx+down(Hy_emnc)*uny+down(Hz_emnc)*unz)*down(Bx_emnc)-0.5*(down(Bx_emnc)*down(Hx_emnc)+down(By_emnc)*down(Hy_emnc)+down(Bz_emnc)*down(Hz_emnc))*uny+(down(Hx_emnc)*unx+down(Hy_emnc)*uny+down(Hz_emnc)*unz)*down(By_emnc)-0.5*(down(Bx_emnc)*down(Hx_emnc)+down(By_emnc)*down(Hy_emnc)+down(Bz_emnc)*down(Hz_emnc))*unz+(down(Hx_emnc)*unx+down(Hy_emnc)*uny+down(Hz_emnc)*unz)*down(Bz_emnc)0H0*(x*cos(t)+y*sin(t))*flc2hs(-1+t,0.05)1102nxnynz000
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
{1,1,1,1,2,3,3,2,1,1,2,3,1,3,2,1}
{"u","v","w","p","s","M_x","M_y","M_z","avgv","Vm"}
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
{1,1,1,1,2,2,2,2,1,1,1,2,2,2,1,1,2,2,2,2,1,1,2,1}
{"u","v","w","p","s","M_x","M_y","M_z","avgv","Vm"}
0
{0,0,0,0,0,0,0,0,0,0,0,0}
{1,2,1,2,1,2,2,1,3,1,2,1}
101sqrt(x^2+y^2+z^2)atan2(y,x)atan2(z,x)(theta<0.257)*(theta>-0.257)*(phi<0.257)*(phi>-0.257)*((Bmax*x/mu_r))+H0*(x*cos(t)+y*sin(t))*flc2hs(t-1,0.05)elcplscalar
{"1"}
{"rhoint_g1_ns","vol_g1_ns","u2int_g1_ns","mdt2_cfl_g1_ns"}
{"1","2","3","4"}
{"4"}
elconstnojac(sqrt(-mdt2_cfl_g1_ns))elcplscalar
{"1"}
{}
{}
elcplscalar
{"1"}
{}
{}
elcplscalar
{"1"}
{}
{}
elcplextr
{"1"}
{}
{"CYL1","CYL2"}
1.192*pi*f850.000480.00743.94e-711.9e-6omega*Tau0.051.5411.05Hx_emncHy_emncHz_emncMs/XiM_x*Hy-M_y*Hx-M_x*Vmxx-M_y*Vmxy-M_z*Vmxz-M_x*Vmyx-M_y*Vmyy-M_z*Vmyz-M_x*Vmzx-M_y*Vmzy-M_z*VmzzMs*(coth(alpha)-1/alpha)*Hx/alphaMs*(coth(alpha)-1/alpha)*Hy/alphaMs*(coth(alpha)-1/alpha)*Hz/alphanormH_emnc+1e-6
{0}
{0}
nsweakSI
uq ~
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offtimestationaryauto1.0E-625tol1001offonoff1.01.0E-410.0offon0.001025lumpedautomaticautoon14tol101offconst1.0minimal1.01.0E-210.00.000100.001range(0,0.1,10)010.111stepnonetlistfreebdf_ida0.01off15offononononononoffonon0.0010511.00.75linearoffoffmaybebweuler1off603000.00lambda0stepnoneoff1off0.00.00.0onautoautoautoeliminateauto5000onautoonoffoffonoffcurrgeoml210000000longestweakoff0121fltpft11.10.80.2onoffoffsensitivityadjointoncholeskyanalytic500101.0e-61.0e-61.0e-61.0e-60offw,v,M_z,u,s,p,M_y,M_x,Vmw,v,M_z,u,avgv,s,p,M_y,M_x,Vmoninit_expr_currsol_radioAutomatic0u_init_radioAutomatic0offoffoffoffpardisolinsolver0.00.10.7mmdonoffndon1.0E-8offofftol21.0E-6400.010000leftright15011.036v5000128.0off2.0ondroptolgmres0.021000.8offoffshaperegularon22offGeom1ononoffoffoffgmresautogmresautoiluiluGeom10offoffoff1022043COMSOL 3.5.0.603Ferrofluid in 3D Cylinder with rotating H fieldShahriarMITEECS12579796151711223349674938offhtmloffa4offfullon
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