vcon

    Variable thermal conductivity information.

    1. Thermal conductivity for intact salt: \(\lambda_{IS} = \lambda_{IS,300}(300/T)^{\gamma_1}\)
    2. Thermal conductivity for crushed salt: \(\lambda_{CS} = \lambda_{CS,300}(300/T)^{\gamma_1}\)

    where:

    \(\lambda_{CS,300} = 1.08 \left( \alpha_4 \phi^4 + \alpha_3 \phi^3 + \alpha_2 \phi^2 + \alpha_1 \phi + \alpha_0 \right)\)

    Parameters related to thermal conductivity are \(\lambda_{IS,300},\gamma_1,\gamma_2,\alpha_4,\alpha_3,\alpha_2,\alpha_1,\alpha_0\) and \(\phi\). An additional parameter is the specific heat of salt.

    • Group 1 - IVCON(I), VC1F(I), VC2F(I), VC3F(I)
    • Group 2 - JA, JB, JC, IVCND

    The parameter (I) is incremented each time Group 1 is read. Group 2 lines will refer to this parameter. Group 1 is ended with a blank line.

    Input Variable Format Description
    IVCON(i) integer
    Model type for ith conductivity model.
    IVCON(i) = 1, linear variation of thermal conductivity with temperature.
    IVCON(i) = 2, square root variation of thermal conductivity with liquid saturation.
    VC1F(i) real Reference temperature (oC) for IVCON(i) = 1. Conductivity \(\left( \frac{W}{m \cdot K} \right)\) at liquid saturation = 1 for IVCON(i) = 2.
    VC2F(i) real Reference conductivity ( \(^oC\) ) for IVCON(i) = 1. Conductivity \(\left( \frac{W}{m \cdot K} \right)\) at liquid saturation = 0 for IVCON(i) = 2.
    VC3F(i) real Change in conductivity with respect to temperature for IVCON(i) = 1. Not used for IVCON(i) = 2.
    IVCND integer Number referring to the sequence of models read in Group 1. The default is 1.

    The following are examples of vcon. In the first example, a linear conductivity model is defined and applied at each node. The reference temperature is \(20^o C\), the reference conductivity is \(1\frac{W}{m \cdot K}\), and the change in conductivity with temperature is 0.01.

    vcon      
    1 20.0 1.0 1.e-2
           
    1 0 0 1
           

    For the second example, three models are defined for the entire domain. Model 1 defines the constant thermal conductivity of 16.26 W/m K at 26.85 °C (=300 °K) for a stainless steel canister (zone 1).

    Model 2 defines all parameters for a crushed salt (zone 2).

    Model 3 defines reference thermal conductivity of 5.4 W/m K at 26.85 °C (=300 °K) and exponent 1.14 for the intact salt in the rest of the domain.

    vcon                
    1 26.85 16.26
             
    4 26.85 1.08 270.0 370.0 136.0 1.5 5.0 1.14
    3 26.85 5.4 1.14          
                     
    1 0 0 3          
    -1 0 0 1          
    -2 0 0 2          
                     

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