Experimental study and analysis on the rising motion of grains in a vertically-vibrated pipe
Liu Yua)† 
, Zhao Jun-Hongb)
, Zhao Jun-Hong
Experimental study and analysis on the rising motion of grains in a vertically-vibrated pipe |
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Liu Yu
, Zhao Jun-Hong |
| Final stable height ( h st) versus the vibration strength ( Γ ). The squares and diamonds represent the experimental values in the presence of air and in a vacuum environment, respectively. (a) The dotted and solid lines are calculating results using Eqs. ( 11 ) and ( 12 ), respectively, where ρ v = 1.542 × 10−3 g/mm3, d = 8 mm, f = 12 Hz, k 0 = 2.061 × 106, k 1 = 5.38 × 104, Γ 0 = 1.024; (b) experimental data are cited from Ref. [ 17 ]. The dotted and solid lines are the calculating results using Eqs. ( 11 ) and ( 12 ), respectively, where ρ v = 1.542 × 10−3 g/mm3, d = 8 mm, f = 12 Hz, k 0 = 3.694 × 106, k 1 = 8.57 × 105, and Γ 0 = 1.181. |
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