69.131.49.231: /* Assumptions */

2013-12-27T08:33:03Z

Assumptions

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The '''Hatta number''' ('''Ha''') was developed by Shirôji Hatta, who taught at [[Tohoku University]].<ref>S. Hatta, Technological Reports of Tôhoku University, 10, 613-622 (1932).</ref> It is a dimensionless parameter that compares the rate of reaction in a liquid film to the rate of diffusion through the film.<ref>[[Robert Byron Bird|R.B. Bird]], W.E. Stewart, [[Edwin N. Lightfoot|E.N. Lightfoot]], Transport Phenomena, 2nd ed. John Wiley & Sons, 2002</ref> For a second order reaction (''r''A = ''k''2''C''B''C''A), the maximum rate of reaction assumes that the liquid film is saturated with gas at the interfacial concentration (''C''A,i); thus, the maximum rate of reaction is ''k''2''C''B,bulk''C''A,i''δ''L.

<math>Ha^2 = {{k_{2} C_{A,i} C_{B,bulk} \delta_L} \over {\frac{D_A}{\delta_L}\ C_{A,i}}} = {{k_2 C_{B,bulk} D_A} \over ({\frac{D_A}{\delta_L}}) ^2} = {{k_2 C_{B,bulk} D_A} \over {{k_L} ^2}}</math>

For a reaction mth order in A and nth order in B:

<math>Ha = {{ \sqrt{{\frac{2}{{m} + 1}}k_{m,n} {C_{A,i}}^{m - 1} C_{B,bulk}^n {D}_A}} \over {{k}_L}}</math>

It is an important parameter used in Chemical Reaction Engineering

==References==
{{reflist}}

== See also ==
*[[Dimensionless quantity]]
*[[Dimensional analysis]]

[[Category:Catalysis]]
[[Category:Dimensionless numbers of chemistry]]
[[Category:Transport phenomena]]
{{chemistry-stub}}

One-way analysis of variance - Revision history

69.131.49.231: /* Assumptions */