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Viscosity blending of liquids


mbeychok

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Calculating the viscosity of a blended liquid consisting of two or more liquids having different viscosities is a three step procedure. The first step involves calculation of the Viscosity Blending Index (VBI) of each component of the blend using the following equation (known as a Refutas equation):

 

(1) VBI = 14.534 × ln[ln(v + 0.8)] + 10.975

 

where v is the viscosity in centistokes and ln is the natural logarithm (Loge).

 

The second step involves using this blending equation:

 

(2) VBIBlend = [wA × VBIA] + [wB × VBIB] + ... + [wX × VBIX]

 

where w is the weight fraction (i.e., % ÷ 100) of each component of the blend. In using the above blending equation, it is necessary that all viscosities are determined at the same temperature, for example, 100 oC.

 

The third and final step is to determine the viscosity of the blend by using the invert of equation (1):

 

(3) v = ee(VBI - 10.975) ÷ 14.534 − 0.8

 

where VBI is the Viscosity Blending Index of the blend and e is the transcendental number 2.71828, also known as [[Euler's number]].

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