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Absorption and desorption mass transfer rates in non-reactive ... - ITM

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194 E.S. Hamborg et al. / Chemical Eng<strong>in</strong>eer<strong>in</strong>g Journal 161 (2010) 191–195<br />

Table 2<br />

Overall results of the liquid phase <strong>mass</strong> <strong>transfer</strong> coefficients.<br />

Run k l,abs (m s −1 ) k l,des (m s −1 ) Abs. dev. ω (rps) h (m)<br />

Carbon dioxide–water at 298.15 K<br />

1 6.02 × 10 −6 5.97 × 10 −6 −0.05 × 10 −6 0.87 0.121<br />

2 1.08 × 10 −5 1.07 × 10 −5 −0.01 × 10 −5 1.75 0.121<br />

3 1.49 × 10 −5 1.46 × 10 −5 −0.03 × 10 −5 2.62 0.121<br />

4 4.83 × 10 −6 4.91 × 10 −6 0.05 × 10 −6 0.87 0.140<br />

5 8.51 × 10 −6 8.46 × 10 −6 −0.05 × 10 −6 1.75 0.140<br />

6 1.14 × 10 −5 1.13 × 10 −5 −0.01 × 10 −5 2.62 0.140<br />

Carbon dioxide–water at 313.15 K<br />

7 1.51 × 10 −5 1.50 × 10 −5 −0.01 × 10 −5 1.75 0.121<br />

8 2.04 × 10 −5 2.02 × 10 −5 −0.02 × 10 −5 2.62 0.121<br />

9 1.22 × 10 −5 1.27 × 10 −5 0.05 × 10 −5 1.75 0.140<br />

10 1.66 × 10 −5 1.64 × 10 −5 −0.02 × 10 −5 2.62 0.140<br />

Oxygen–water at 298.15 K<br />

11 1.10 × 10 −5 1.12 × 10 −5 0.02 × 10 −5 1.75 0.121<br />

12 1.52 × 10 −5 1.51 × 10 −5 −0.01 × 10 −5 2.62 0.121<br />

13 9.19 × 10 −6 9.09 × 10 −6 −0.10 × 10 −6 1.75 0.140<br />

14 1.21 × 10 −5 1.21 × 10 −5 0 2.62 0.140<br />

Nitrous oxide–2 M aq. MDEA at 298.15 K<br />

15 5.24 × 10 −6 5.26 × 10 −6 0.02 × 10 −6 1.75 0.121<br />

16 7.01 × 10 −6 7.12 × 10 −6 0.11 × 10 −6 2.62 0.121<br />

17 3.83 × 10 −6 3.88 × 10 −6 0.05 × 10 −6 1.75 0.140<br />

18 5.24 × 10 −6 5.26 × 10 −6 0.02 × 10 −6 2.62 0.140<br />

Nitrous oxide–2 M aq. DIPA at 298.15 K<br />

19 4.01 × 10 −6 4.08 × 10 −6 0.07 × 10 −6 1.75 0.121<br />

20 5.30 × 10 −6 5.39 × 10 −6 0.09 × 10 −6 2.62 0.121<br />

21 3.10 × 10 −6 3.11 × 10 −6 0.01 × 10 −6 1.75 0.140<br />

22 3.87 × 10 −6 3.90 × 10 −6 0.03 × 10 −6 2.62 0.140<br />

The results of the system carbon dioxide–water at 298.15 K are<br />

presented <strong>in</strong> Fig. 5. The <strong>mass</strong> <strong>transfer</strong> coefficients show a higher<br />

dependency on the stirrer speed when the liquid level <strong>in</strong> the reactor<br />

is low, which is as expected s<strong>in</strong>ce the stirrer is located closer<br />

to the <strong>in</strong>terfacial area result<strong>in</strong>g <strong>in</strong> a more pronounced mix<strong>in</strong>g <strong>and</strong><br />

different hydrodynamics. The dependency of the <strong>mass</strong> <strong>transfer</strong><br />

coefficients on the stirrer speed <strong>and</strong> the liquid levels is the same<br />

for both the absorption <strong>and</strong> the <strong>desorption</strong> measurements. For the<br />

reactor used <strong>in</strong> the current work c3 was found to be 0.694 <strong>and</strong> 0.583<br />

for the liquid levels of 0.121 m <strong>and</strong> 0.140 m, respectively. These values<br />

were assumed to be <strong>in</strong>dependent of the different systems, but<br />

dependent on the liquid levels <strong>in</strong> the reactor [12]. Rearrang<strong>in</strong>g Eq.<br />

(2) yields:<br />

Sh<br />

Re c3 = c2Scc4 (12)<br />

By apply<strong>in</strong>g the values of the constant c3 to the respective systems,<br />

the dependence of Sh/Re c3 on the Sc number, i.e. diffusivities, is<br />

presented <strong>in</strong> Fig. 6. The physico-chemical properties for the different<br />

components used to calculate the dimensionless numbers are<br />

given <strong>in</strong> Table 3. The values of c2 were found to be 1.28 × 10 −2 <strong>and</strong><br />

3.80 × 10 −3 <strong>and</strong> the values of c4 were found to be 0.517 <strong>and</strong> 0.705<br />

for the respective liquid levels of 0.121 m <strong>and</strong> 0.140 m. These values<br />

are for the specific type of reactor used <strong>in</strong> the current work,<br />

Fig. 4. Comparison of liquid phase <strong>mass</strong> <strong>transfer</strong> coefficients: , carbon<br />

dioxide–water at T = 298.15 K; , carbon dioxide–water at T = 313.15 K; ,<br />

oxygen–water at T = 298.15 K; ◭, nitrous oxide–2 M aq. MDEA at T = 298.15 K; ◮,<br />

nitrous oxide–2 M aq. DIPA at T = 298.15 K.<br />

Fig. 5. Experimental results of the <strong>in</strong>fluence of the stirrer speed on the <strong>mass</strong> <strong>transfer</strong><br />

coefficients of the system carbon dioxide–water at 298.15 K: , absorption at<br />

h = 0.121 m; , absorption at h = 0.140 m; ◭, <strong>desorption</strong> at h = 0.121 m; ◮, <strong>desorption</strong><br />

at h = 0.140 m; –·–·–·, Eq. (11) at h = 0.121 m; –––,Eq.(11) at h = 0.140 m.

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