Dave Dickey Forum Moderator 287 Posts
Re: How do we calculate unbalanced horizontal load, amplitude and mass movement?20 April 2009 at 1:29pm
I will provide my answer based on my best understanding of the questions and conditions:
Tank Diameter: 2,000 mm
Tank Straight-Side Height: 2,200 mm
Weight: (tank? or contents?) 4,000 kg (makes no difference on the answer)
100 cp (sufficient estimate)
1.8 sp. gr. (specified - max. value for design)
Bottom Impeller: Anchor Type (contoured to bottom of tank) Diameter: 1,900 mm, 2 blades, 11 inches wide (?)
Middle Impeller: Diameter: 800 mm, 2 blades, 9 inches wide (mounted at 90 degrees to bottom impeller - makes no difference in the answer)
Top Impeller: Diameter 1600 mm, 2 blades, 6 inches wide (mounted at 90 degrees to middle impeller - makes no difference in the answer)
Rotational Speed, not specified, but critically important: Estimated speed 0.25 revolutions per second -- based on reasonable mixing intensity
Motor Power: Not specified but estimated at 7.5 KW. Motor power should be the design basis for mixer load on impellers.
Worst case design scenario assumes that impellers will occasionally operate at the liquid level as tank is either filled or emptied, necessitating a high horizontal load on the upper impeller. Same higher load expected on lower impellers, but only when liquid level is below upper impeller.
Shaft design, support forces, and moment of inertia all depend on impeller locations (distance from support), none of which were specified in question:
Estimated horizontal forces:
Upper Impeller: 924 Newtons
Middle Impeller: 39 Newtons
Bottom Impeller: 477 Newtons
For a more detailed explanation, I suggest reading Chapter 21, Mechanical Design of Mixing Equipment, in "Handbook of Industrial Mixing," (John Wiley, 2004).
Complete answer and explanation would require more complete information about impeller sizes, blade widths, location with respect to mounting, rotational speed, and motor power. Probably would necessitate drawings or much more information and a design study on fee basis.