It is reported in Part I and Part II of this series that the computer model can simulate the web drying phenomena in a paper machine dryer section by feeding the several operating conditions at each cylinder The model, a simplified version in Part I, is now modified to evaluate the effects of the cross directional variations of operating conditions at each cylinder and simulate the resulting cross directional variations of web drying.
First, heat and mass transfers in a cross direction of a web within a web layer during drying are calculated and compared to those between a web and its surroundings, such as heat transfers from cylinder surfaces to a web and water evaporation from a web to atmospheres. It is found that the former are far much smaller than latter, and can be neglected in a drying process of a paper machine. In other words, a web can be regarded to be independent crosswise.
Then, based on these results, the model is extended to a following structure.
1. A cross direction is divided into a certain numbers of blocks.
2. The simulations, similar to those in Part I and Part II, are carried out at each block, using their own operating conditions. It means that every block of a web dries up independently each other throughout drying, depending only on it circumstances.
3. The results on each block are combined in parallel to give their profiles in a cross direction at any locations in a dryer section.
The simulated results by this model correspond well with various experiences in mill operations, which suggests that the model is reliable enough. So, this extended model will be further used in Part IV of the series to predict the effects of the cross directional variations of several operating conditions, like cylinder surface temperatures and cylinder pocket humidities, to web drying in some commercial paper machines.
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