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Source terms for Lorentz force

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Old   October 31, 2015, 03:48
Exclamation Source terms for Lorentz force
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Ganesh K C
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How to include the Lorentz force equation in Fluent during Melting and solidification.
the equations for x,y and z coordinates are as follows,

Fx = -((mu * I^2) / (4*3.14^2 * reff^2 * r)) * (exp (-r^2 / (2*reff^2))) * (1-(exp (-r^2 / (2*reff^2)))) * (1-(z/t)^2) * (x/r)

Fy = -((mu * I^2) / (4*3.14^2 * reff^2 * r)) * (exp (-r^2 / (2*reff^2))) * (1-(exp (-r^2 / (2*reff^2)))) * (1-(z/t)^2) * (y/r)

Fz = -((mu*I^2)/(4*3.14*3.14*r^2*c)) * ((1-(exp (-r^2 / (2*reff^2))))^2) * (1-(z/t))

where, mu, I, c are constants.

Kindly help to add this equations in Fluent without MHD module.
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Old   November 2, 2015, 16:31
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Have you tried adding these forces as source terms using the DEFINE_SOURCE macro?
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Old   November 3, 2015, 00:52
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dear e,
i have trouble with prepare the UDF using this equation. can you show some udf using this equation ?
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Old   November 3, 2015, 04:03
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There are detailed examples in the UDF manual, which part are you stuck on? The constants can be retrieved with macros, for example C_MU_L(c,t) returns the laminar viscosity of the local cell.
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Old   November 3, 2015, 04:14
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the thing is i need to include the electromagnetic force in the model without MHD module. so from the reference the lorentz force equations are obtained. now i need to give this equations as momentum source. so is it possible to enter these equations directly using DEFINE_SOURCE or is there any other procedure i should follow ? the final out put will be the electromagnetic force into the model.
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Old   November 3, 2015, 04:43
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Have a read of the "Momentum Conservation Equations" section in the theory guide, you'll find that the last term on the right hand side is the model-dependent source term. Use the DEFINE_SOURCE macro for setting this source term in the relevant equations.
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Old   November 3, 2015, 05:01
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whether the following UDF is the correct way of representation?

#include "udf.h"
#define mu 1.26*(10e-6)
#define I 160
#define reff 0.008
#define r 0.005
/*--------------------------------------------------------
Momentum source term in x
----------------------------------------------------------*/
DEFINE_SOURCE(xmom_source,c,t,dS,eqn)
{
float x[ND_ND], source;
face_t f;
F_CENTROID (x,f,t);
source =-((mu*I*I)/(4*3.14*3.14*reff*reff*r)) * (exp (-r*r / (2*reff*reff))) * (1-(exp (-r*r / (2*reff*reff)))) * pow((1-(x[1]/t),2) * (x[0]/r);
dS[eqn] = 0;
return source;
}
/*--------------------------------------------------------
Momentum source term in y
----------------------------------------------------------*/
DEFINE_SOURCE(ymom_source,c,t,dS,eqn)
{
float x[ND_ND], source;
face_t f;
F_CENTROID (x,f,t);
source = -((mu*I*I)/(4*3.14*3.14*reff*reff*r)) * (exp (-r*r / (2*reff*reff))) * (1-(exp (-r*r / (2*reff*reff)))) * pow((1-(x[1]/t),2) * (x[1]/r);
dS[eqn] = 0;
return source;
}
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Old   November 3, 2015, 15:20
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Yes, that's the general approach. Are you getting similar results to the MHD module? Try a simple case to start with to validate your code.

Is your viscosity 12.6e-6 or 1.26e-6? It'd be clearer to have the single value instead of multiplying by 10e-6.
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Old   November 12, 2015, 03:18
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i have prepared the UDF of Lorentz for as source term for 3D. while compiling in fluent uing define / userdefine function / interpreted, option, am getting the following error: line 14: invalid type for binary expression: float / pointer to structure.
what does this error mean and how to overcome this ?
the UDF is given as follows,

#include "udf.h"
#define mu 0.00000126
#define I 160
#define reff 0.008
#define r 0.005
/*--------------------------------------------------------
Momentum source term in x
----------------------------------------------------------*/
DEFINE_SOURCE(xmom_source,c,t,dS,eqn)
{
float x[ND_ND], source;
face_t f;
F_CENTROID (x,f,t);
source =-((mu*I*I)/(4*3.14*3.14*reff*reff*r)) * (exp (-r*r / (2*reff*reff))) * (1-(exp (-r*r / (2*reff*reff)))) * pow((1-(x[1]/t),2) * (x[0]/r);
dS[eqn] = 0;
return source;
}
/*--------------------------------------------------------
Momentum source term in y
----------------------------------------------------------*/
DEFINE_SOURCE(ymom_source,c,t,dS,eqn)
{
float x[ND_ND], source;
face_t f;
F_CENTROID (x,f,t);
source =-((mu*I*I)/(4*3.14*3.14*reff*reff*r)) * (exp (-r*r / (2*reff*reff))) * (1-(exp (-r*r / (2*reff*reff)))) * pow((1-(x[1]/t),2) * (x[1]/r);
dS[eqn] = 0;
return source;
}
/*--------------------------------------------------------
Momentum source term in z
----------------------------------------------------------*/
DEFINE_SOURCE(zmom_source,c,t,dS,eqn)
{
float x[ND_ND], source;
face_t f;
F_CENTROID (x,f,t);
source = -((mu*I*I)/(4*3.14*3.14*r*r)) * pow((1-(exp (-r*r / (2*reff*reff)))),2) * (1-(x[2]/t));
dS[eqn] = 0;
return source;
}
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Old   November 12, 2015, 04:57
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Line 14 corresponds to "F_CENTROID (x,f,t);". It's possible this face centroid data is only available for UDFs that are compiled. It's probably good practice to compile all UDFs because some macros require compilation. The UDF manual also notes that this macro is only available for the pressure-based solver.
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Old   November 13, 2015, 02:11
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dear sir,
i am using pressure based solver solver for the 'melting and solidification' model. should it be compiled using external c-compiler? but i could successfully use 'DEFINE_PROFILE' macro in UDF that consists of F_CENTROID. fluent could interpret that UDF. the following UDF is working without Lorentz force equations,

#include "udf.h"
DEFINE_PROFILE(Gauss,t,i)
{
real x[ND_ND], c[ND_ND];
face_t f;
real r;
r = 0.005;
begin_f_loop(f, t)
{
F_CENTROID (x,f,t);
F_PROFILE (f,t,i) = (3*(100*10*0.7/0.001) / (3.14*pow(r,2))) * exp (-3*(x[0]*x[0])/ pow(r,2));
}
end_f_loop(f,t)
}

how can i include the lorentz force equations in the UDF now?
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Old   November 19, 2015, 01:06
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i still have same problem. can any one help me out in this ?
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Old   January 20, 2016, 10:26
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how to compile a UDF and bring into fluent ? i need to bring the previously mentioned equations to the model
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Old   January 20, 2016, 17:00
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You'll need a compiler to compile the UDFs for Fluent. In Windows you could use Microsoft Visual Studio Express for Desktop (ensure the compiler is compatible with the Fluent version). There are a few comments in the FAQ on this website to get you started.
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