The effect of concentration on diffusion coefficient in polymer solutions

✍ Scribed by Robert M. Secor

• Publisher: American Institute of Chemical Engineers
• Year: 1965
• Tongue: English
• Weight: 527 KB
• Volume: 11
• Category: Article
• ISSN: 0001-1541
• DOI: 10.1002/aic.690110317

✦ Synopsis

A, is partitioned as shown by the cross hatching and modified to produce the second base case A, of Figure 6. The cycle is now pseudo node a indicated in Figure 4.

Operations are continued up to k ' when another cycle is located consisting of nodes 9, 10, 12, and pseudo node a. A? is partitioned and modified to produce the next base case matrix A, of Figure 7. The new cycle is now pseudo node b shown again in Figure 4.

Powers of A, are computed until with A,' another cycle is found consisting of nodes 2, 3, 14, and pseudo node b. The matrix is changed again to produce A, of Figure 8.

As before, the matrix multiplications are carried out until the zero matrix A," appears. This indicates that there are no paths involving four or more modules left in the simplified scheme and, therefore, no possibility of additional cycles. This terminates the procedure.