): The shaft must operate at least 20% away from its first natural frequency to prevent catastrophic vibration. Based on the combined stress of torque and bending. 5. Repacking Your XLS for Practical Use
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Before running calculations, a repackaged spreadsheet requires specific process and geometry inputs. These are typically divided into three categories: Vessel Geometry The internal diameter of the mixing vessel. Liquid Height ( ): The height of the liquid volume being agitated.
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This is a dimensionless number dependent on impeller geometry. You typically pull this from a lookup table in Excel (VLOOKUP).
Just as in pipe flow, the mixing Reynolds number determines whether the fluid regime inside the vessel is laminar, transitional, or turbulent. It is calculated using the following formula:
Motor Power=Pηgearbox⋅ηbearing⋅ηmotor×Safety FactorMotor Power equals the fraction with numerator cap P and denominator eta sub g e a r b o x end-sub center dot eta sub b e a r i n g end-sub center dot eta sub m o t o r end-sub end-fraction cross Safety Factor
. The operating speed should typically be at least 20% away from the shaft's natural frequency to avoid catastrophic vibrations. Impeller Tip Speed: Calculated as