Initial Conditions

Home Description of Debindo File Opening/Saving Initial Conditions Mathematical Models

Each model in DebindoŠ is based on differential equations. These equations require certain initial values to begin calculations. Such values are demanded in the Constants dialog box in  DebindoŠ. Its is, however, wise to note some relationships between the constant values before using the software. For it may avoid many errors in calculations. A few of these important relations are noted here, the rest are explained in the papers (see Mathematical Models section) itself.

bullet

Initial binder volume fraction (Vb), initial solids loading volume fraction (Vs), and initial porosity (Vg) are all related by the equation, Vg = 1 - Vs - Vb. Hence, if Vs and Vb add up to unity then Vg becomes zero. And if Vg goes to zero then the calculation returns an error due to dividing by zero in one of the equations. To avoid this error, the sum of Vs and Vb should not exceed unity.

 

bullet

Initial temperature and maximum temperature values determine the range at which the calculations will be made. Therefore, if a really slow heating rate is used then the temperature range should be adjusted accordingly to avoid flooding of excessive data.

 

bullet

The pre-exponential factor and the activation energy values characterize the material used for binder. These values are, therefore, distinct and interrelated.

 

 

 

 

 

Center for Innovative Sintered Products (CISP), Pennsylvania State University, University Park