Campbell-Spalding Model

It is interesting that the model by Yamamuro et al. fits the data quite weii however, it has an extra parameter, the angie of attack a of the force R that iimits the modei s abiiity to predict for new materiais. Reexamining the modei of Campbeii and Don-tuia the foiiowing change in the modei yieids a modei more responsive to the process parameters. 

This model does not have a free parameter. 

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As stated in Appendix A5, if /jy is redefined in terms of an internal angle, then the following model results and is referred to as the Campbell-Spalding model in the appendix ... 

Campbell et al. and Yamamuro et al. assume a form for (or F ) and then determine the solids conveying angle (p. Hyun and Spalding calculated q> using a force balance and two torque balances. Campbell and Dontula and Yamamuro et al. did not use a torque balance in their analysis. The following is a list of assumptions from all the models discussed. Additional assumptions will be added as needed. Assumptions that do not have keys were used by all authors ... 

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