7. Verification

<sup>δ</sup><sup>m</sup> <sup>¼</sup> <sup>5</sup>:<sup>48</sup> ffiffiffiffiffiffi Re p

32 Heat and Mass Transfer - Advances in Modelling and Experimental Study for Industrial Applications

<sup>δ</sup><sup>c</sup> <sup>¼</sup> <sup>δ</sup><sup>m</sup>

<sup>δ</sup><sup>T</sup> <sup>¼</sup> <sup>δ</sup><sup>c</sup>

Figure 2. Description of mesh in unstructured grid system of 67,104 cells. (a) Overview, (b) surface of CO2H, (c) water,

Porous ratio

Temperature of water (K)

and (d) pellets of CO2H.

Prandtl number

8 135 0.062

Table 2. Calculation conditions of this work.

Froude number

\*Values are quoted from "Chemical Engineering Handbook", Japan (1985)

Schmidt number

1 50 10 0.023 755 74% 282.15 3.89 3 12 880 276.15 1.77 1 10 755 66% 282.15 3.89 3 12 880 276.15 1.77 1 10 755 49% 282.15 3.89 3 12 880 276.15 1.77 1 7 100 10 0.046 755 282.15 3.89 3

Cell number (porosity) Sc\* δm\* δc&T\* Lm VTL number Lc&T 53,440 (49%) 755 2.358E-04 2.252E-05 1.0E-05 5 2.0E-06 67,104 (66%) 755 2.345E-03 2.252E-04 6.0E-05 5 1.2E-05 77,432 (74%) 755 2.594E-03 2.276E-04 6.0E-05 5 1.2E-05

Table 3. The thicknesses of boundary layers, δ<sup>m</sup> and δc&T, and grid sizes, Lm and Lc&T (unit: meter).

Case Reynold number

d

<sup>2</sup> (12)

<sup>1</sup>:<sup>026</sup> � Sc<sup>1</sup>=<sup>3</sup> (13)

Pr<sup>1</sup>=<sup>3</sup> (14)

Fugacity of equilibrium (MPa) Fugacity (MPa)

The in-house code originally developed by [7] has been applied to determine the intrinsic dissociation rate of methane hydrate. The numerical results verified by experimental results are successfully used in calculating one pellet of hydrate in a slow flow rate of high pressure without considering the collapse of hydrate and the nucleation of bubbles referring to [6, 20] as well.
