U

U-tube

The U-tube is a simple U-shaped pressure gauge used in metrology applications (see Pressure measurement), whose measurement liquid is typically water or a higher-density liquid such as mercury. The oblique angle of one the tube's legs also enables very small pressures to be measured (micromanometer).

Unbalance

Unbalance is the term used for a mass distribution in rotating bodies that is not rotationally symmetric.
To avoid unbalance in centrifugal pumps, the pump's rotating assembly is carefully balanced mechanically to DIN EN ISO 21940-11 ("Mechanical vibration − Balance quality requirements for rotors in a constant (rigid) state") prior to assembly. This ensures that the geometric mass distribution is corrected in such a way that the rotation axis of the pump rotor is a so-called free axis (no free inertia effects during rotation).
A distinction is made between dynamic and static balancing. In static balancing, the pump rotor's mass gravity centre is placed as accurately as possible in the rotation axis of the pump shaft, and, consequently, the resultant force of the centrifugal forces (not to be confused with the resultant moment of force) disappears. This is also called "single-plane balancing" and is usually applied when the axial dimension of the rotating mass is substantially smaller than its diameter.
In dynamic balancing on balancing machines, the pump rotor's rotation axis becomes the principal axis of inertia. The consequence is that not only the resultant force but also the resultant static moment of the centrifugal forces disappears. This is called "two-plane balancing".
A pump rotor which has been carefully balanced mechanically before commissioning may develop symptoms of unbalance during operation. Rotating at the frequency of the rotational speed, this unbalance impairs the smooth running of the centrifugal pump.
Mechanical unbalance is a result of asymmetrical wear or asymmetrical mass accumulation due to incrustations, while hydraulic unbalance is a result of asymmetrically acting hydraulic forces and moments on each vane or on each vane channel (see Vibration). 
All forms of unbalance may arise simultaneously, in groups or individually.
Causes for mechanical unbalance arising during operation:
  • Rubbing contact and mechanical removal of material (see Clearance gap width)
  • Asymmetrical erosion as a result of abrasive fluids handled
  • Asymmetrical corrosion as a result of aggressive fluids handled
  • Asymmetrical deposition of crystallised fluids or fluids prone to sedimentation (see Sediment in pumps)
  • Asymmetrical material removal due to cavitation at the various impeller regions
Causes for hydraulic unbalance arising during operation:
  • Uneven action of vanes or channels caused by geometrical unevenness (shape, roughness)
  • Uneven energy transmission caused by vanes with differing cavitation behaviour
  • Hydraulic unbalance occurring with single-vane impellers (due to their design principle)

Under-filing

Under-filing is the retrospective machining of impeller vanes on centrifugal pumps  with low specific speeds for the purpose of slightly increasing the head at the design point. Under-filing the concave side of backward curved impeller vanes results in a slightly steeper vane outlet angle. The H/Q-curve is shifted upward, increasing the head by approx. 3 % at the flow rate at BEP (Qopt) depending on the type of impeller and the manner by which it is under-filed. In some cases, under-filing also slightly improves efficiency.
See Fig. 1 Under-filing
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Unit

A unit in conjunction with a numerical value describes the quantitative value of a physical dimension. Units are defined and expressed in a unit system (see also SI) as:
physical dimension = numerical value · unit
e.g. length l = 1.83 m
The SI units are binding in Germany as statutory units for official and commercial transactions. There are seven SI base units, from which further units are derived. see Fig. 1 Unit
Base quantityBase unit 
 NameSymbol
LengthMetrem
MassKilogramkg
TimeSeconds
Electric currentAmpereA
Thermodynamic
temperature
KelvinK
Luminous intensityCandelacd
Amount of substance  Molmol
Fig. 1 Unit: SI base quantities and units
A complete list of statutory units is contained in the brochure entitled "Gesetzliche Einheiten im Pumpenbau" (statutory units in pump manufacture) by the German Engineering Federation (VDMA).
See in Appendix, Fig. 2 Unit(opens in a new tab)