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### fix heat/gran command

### fix heat/gran/conduction command

Syntax:

    fix ID group-ID heat/gran initial_temperature T0 keyword values

    fix ID group-ID heat/gran/conduction initial_temperature T0 keyword values

- ID, group-ID are documented in fix command
- heat/gran/conduction or fix heat/gran = style name of this fix command
- initial_temperature = obligatory keyword
- T0 = initial (default) temperature for the particles
- zero or more keyword/value pairs may be appended
- keyword = contact_area or area_correction

        contact_area values = overlap or constant value or projection
        area_correction values = yes or no

  Examples:

      fix 3 hg heat/gran/conduction initial_temperature 273.15

  LIGGGHTS(R)-PUBLIC vs. LIGGGHTS(R)-PUBLIC info:

  This command is not available in LIGGGHTS(R)-PUBLIC.

  Description:

  Calculates heat conduction between particles in contact and temperature update (see (Chaudhuri)) according to

  It is assumed that the temperature within the particles is uniform. To make particles adiabatic (so they do not change the temperature), do not include them in the fix group. However, heat transfer is calculated between particles in the group and particles not in the group (but temperature update is not performed for particles not in the group). Thermal conductivity and specific thermal capacity must be defined for each atom type used in the simulation by means of fix property/global commands:

      fix id all property/global thermalConductivity peratomtype value_1 value_2 ...
      (value_i=value for thermal conductivity of atom type i)

      fix id all property/global thermalCapacity peratomtype value_1 value_2 ...
      (value_i=value for thermal capacity of atom type i)

  To set the temperature for a group of particles, you can use the set command with keyword property/atom and values Temp T. T is the temperature value you want the particles to have. To set heat sources (or sinks) for a group of particles, you can also use the set command with the set keyword: property/atom and the set values: heatSource h where h is the heat source value you want the particles to have (in Energy/time units). A negative value means it is a heat sink. Examples would be:

      set region halfbed property/peratom Temp 800.
      set region srcreg property/peratom heatSource 0.5

  Contact area calculation:

  Using keyword contact_area, you can choose from 3 modes of calulating the contact area for particle-particle heat transfer: If overlap is used, the contact area is calculated from the area of the sphere-sphere intersection If constant is used, a constant user-defined overlap area is assumed. If projection is used, the overlap area is assumed to be equal to rmin*rmin*Pi, where rmin is the radius of the smaller of the two particles in contact.

  Area correction:

  For contact_area = overlap, an area correction can additionally be performed using keyword area_correction to account for the fact that the Young's modulus might have been decreased in order to speed-up the simulation, thus artificially increasing the overlap. In this case, you have to specify the original Young's modulus of each material by means of a fix property/global command:

      fix id all property/global youngsModulusOriginal peratomtype value_1 value_2 ...
      (value_i=value for original Young's modulus of atom type i)

  This area correction is performed by scaling the contact area with (Y*/Y*,orig)^a, where Y* and Y*,orig are calculated as defined in pair_style gran . The scaling factor is given as e.g. a=1 for a Hooke and a=2/3 for a Hertz interaction.

  Output info:

  You can visualize the heat sources by accessing f_heatSource[0], and the heatFluxes by f_heatFlux[0] . With f_directionalHeatFlux[0], f_directionalHeatFlux[1] and f_directionalHeatFlux[2] you can access the conductive heat fluxes in x,y,z directions. The conductive heat fluxes are calculated per-contact and half the value is stored in each atom participating in the contact. With f_Temp[0] you can access the per-particle temperature. You can also access the total thermal energy of the fix group (useful for the thermo command) with f_id .

  Restart, fix_modify, run start/stop, minimize info:

  The particle temperature and heat source is written is written to binary restart files so simulations can continue properly. None of the fix_modify options are relevant to this fix.

  This fix computes a scalar which can be accessed by various output commands. This scalar is the total thermal energy of the fix group

  No parameter of this fix can be used with the start/stop keywords of the run command. This fix is not invoked during energy minimization.

  Restrictions:

  none

  Related commands:

  compute temp, compute temp/region

  Default:

  contact_area = overlap, area_correction = no

  Literature:

  (Chaudhuri) Chaudhuri et al, Chemical Engineering Science, 61, p 6348 (2006).