6.12: The IHC-MTI (1998) Model for the Limit Deposit Velocity

Van den Berg (1998) published an equation for the LDV as used in IHC-MTI. The background of this equation has not been published and is not clear.

Equation (6.4-18) gives an almost exact match with the equation published by van den Berg (1998), equation (6.15-1). Figure 6.4-26 gives the Limit Deposit Velocity according to equation (6.4-18) at a concentration of 0.1 and Figure 6.15-1 gives the Limit Deposit Velocity according to equation (6.15-1) at a concentration of 0.1. For particle diameters from 0.0850-0.333 mm equation (6.4-18) gives smaller values for the Limit Deposit Velocity.

\[\ \mathrm{v}_{\mathrm{l s}, \mathrm{ld v}}=\mathrm{0 . 2 9 8} \cdot(\mathrm{5 - \frac { 1 } { \sqrt { \mathrm { 1 0 0 0 } \cdot \mathrm { d } } }}) \cdot\left(\frac{\mathrm{C _ { v }}}{\mathrm{C _ { v } + \mathrm { 0 . 1 }}}\right)^{1 / 6} \cdot \sqrt{\mathrm{2 \cdot g \cdot D _ { \mathrm { p } }} \cdot \mathrm{R}_{\mathrm{s d}}}\]

With the Froude number F_L:

\[\ \mathrm{F}_{\mathrm{L}}=\frac{\mathrm{v}_{\mathrm{l s}, \mathrm{ld v}}}{\sqrt{\mathrm{2} \cdot \mathrm{g} \cdot \mathrm{D}_{\mathrm{p}} \cdot \mathrm{R}_{\mathrm{s d}}}}=\mathrm{0 . 2 9 8} \cdot\left(\mathrm{5}-\frac{\mathrm{1}}{\sqrt{\mathrm{1 0 0 0} \cdot \mathrm{d}}}\right) \cdot\left(\frac{\mathrm{C}_{\mathrm{v}}}{\mathrm{C}_{\mathrm{v}}+\mathrm{0 . 1}}\right)^{1 / 6}\]

Figure 6.15-1: Limit Deposit Velocity according to equation (6.15-1) at a concentration of 0.1.

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