PAPERmaking! Vol11 Nr2 2025

଴ ሺ ݐ ൅ᶭ ݐ ሻൌܲ ଴ ሺ ݐ ሻെ ߤ ଵ ᶭ ܲݐ ଴ ሺ ݐ ሻെ ߤ ଶ ᶭ ܲݐ ଴ ሺ ݐ ሻെʹ ߤ ଷ ᶭ ܲݐ ଴ ሺ ݐ ሻെ ߤ ସ ᶭ ܲݐ ଴ ሺ ݐ ሻ൅ ߤ ହ ᶭ ܲݐ ଴ ሺ ݐ ሻ ൅ ߠ ଵ ᶭ ܲݐ ଻ ሺ ݐ ሻ൅ ߠ ଶ ᶭ ଼ܲݐ ሺ ݐ ሻ൅ ߠ ଷ ᶭ ܲݐ ଵ ሺ ݐ ሻ൅ ߠ ସ ᶭ ܲݐ ଽ ሺ ݐ ሻ൅ ߠ ହ ᶭ ܲݐ ଵ଴ ሺ ݐ ሻ ֜ܲ ଴ ሺ ݐ ൅ᶭ ݐ ሻെܲ ଴ ሺ ݐ ൌᶭ ሻ ݐ ሺെ ߤ ଵܲ ଴ ሺ ݐ ሻെ ߤ ଶܲ ଴ ሺ ݐ ሻെʹ ߤ ଷܲ ଴ ሺ ݐ ሻെ ߤ ସܲ ଴ ሺ ݐ ሻ൅ ߤ ହܲ ଴ ሺ ݐ ሻ൅ ߠ ଵܲ ଻ ሺ ݐ ሻ൅ ߠ ଶ଼ܲ ሺ ݐ ሻ ൅ ߠ ଷܲ ଵ ሺ ݐ ሻ൅ ߠ ସܲ ଽ ሺ ݐ ሻ൅ ߠ ହܲ ଵ଴ ሺ ݐ ሻሻ Taking Ž‹ ᶭ௧՜଴ ǡ we get Ž‹ ᶭ௧՜଴ܲ ଴ ሺ ݐ ൅ᶭ ݐ ሻെܲ ଴ ሺ ݐ ሻ ᶭ ݐ ൌെሺ ߤ ଵ ൅ ߤ ଶ ൅ʹ ߤ ଷ ൅ ߤ ସ ൅ ߤ ହ ሻܲ ଴ ሺ ݐ ሻ൅ ߠ ଵܲ ଻ ሺ ݐ ሻ൅ ߠ ଶ଼ܲ ሺ ݐ ሻ൅ ߠ ଷܲ ଵ ሺ ݐ ሻ൅ ߠ ସܲ ଽ ሺ ݐ ሻ ൅ ߠ ହܲ ଵ଴ ሺ ݐ ሻ ֜ܲ ଴ ᇱ ሺ ݐ ሻൌെሺ ߤ ଵ ൅ ߤ ଶ ൅ʹ ߤ ଷ ൅ ߤ ସ ൅ ߤ ହ ሻܲ ଴ ሺ ݐ ሻ൅ ߠ ଵܲ ଻ ሺ ݐ ሻ൅ ߠ ଶ଼ܲ ሺ ݐ ሻ൅ ߠ ଷܲ ଵ ሺ ݐ ሻ൅ ߠ ସܲ ଽ ሺ ݐ ሻ ൅ ߠ ହܲ ଵ଴ ሺ ݐ ሻ Now, applying Ž‹ ௧՜ஶ , we obtain ֜ Ž‹ ௧՜ஶܲ ଴ ᇱ ሺ ݐ ሻൌെሺ ߤ ଵ ൅ ߤ ଶ ൅ʹ ߤ ଷ ൅ ߤ ସ ൅ ߤ ହ ሻܲ ଴ ሺ ݐ ሻ൅ ߠ ଵܲ ଻ ሺ ݐ ሻ൅ ߠ ଶ଼ܲ ሺ ݐ ሻ൅ ߠ ଷܲ ଵ ሺ ݐ ሻ൅ ߠ ସܲ ଽ ሺ ݐ ሻ ൅ ߠ ହܲ ଵ଴ ሺ ݐ ሻ ֜ ሺ ߤ ଵ ൅ ߤ ଶ ൅ʹ ߤ ଷ ൅ ߤ ସ ൅ ߤ ହ ሻܲ ଴ ൌ ߠ ଵܲ ଻ ൅ ߠ ଶ଼ܲ ൅ ߠ ଷܲ ଵ ൅ ߠ ସܲ ଽ ൅ ߠ ହܲ ଵ଴ (18)

Rasool et al.

Figure 7 . State transition diagram of stock preparation unit of paper plant.

Braz. J. Biom. ǡ˜Ǥ 43 ǡ‡ǦͶ͵͹͸ʹǡʹͲʹͷǤ  11 ֜ܲ Similarly, ሺ ߤ ଵ ൅ ߤ ଶ ൅ ߤ ଷ ൅ ߤ ସ ൅ ߤ ହ ൅ ߠ ଷ ሻܲ ଵ ൌ ߠ ଵܲ ଶ ൅ ߠ ଶܲ ଷ ൅ ߠ ଷܲ ସ ൅ ߠ ସܲ ହ ൅ ߠ ହܲ ଺ ൅ʹ ߤ ଷܲ ଴ (19) ߠ ଵܲ ଶ ൌ ߤ ଵܲ ଵ (20)

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