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what is the difference between selenderness ratio in horizontal and vertical separator ?
Firstly let's talk about Slenderness ratio. It is defined as the ratio of a column to the least radius of gyration. And radiation of gyration is nothing but the point along the radius which gives the same moment of inertia aa the body's total mass distribution.
Slenderness ratio helps in characterizing various columns into short, intermediate or large. It is a design consideration which is taken into account while studying the mechanical failure of any column vessel. The main failures are buckling and crushing which is caused by inappropriate slenderness ratio.
For horizontal separator column design, the slenderness ratio is kept between 3 and 4. Higher values of slenderness ratio often encounter a problem of entrainment.
For vertical separators which are for liquid operations, the slenderness ratio here also doesn't exceed 4. It keeps the height of liquid collection section to a reasonable level.
Higher the value of slenderness ratio, lower is the cost of the column. This trend is applicable to both horizontal and vertical column.