Viscosity measurement of liquids at subambient temperatures
View Patent ↗An apparatus and method is shown for determining the pumpability limit, freeze point and/or pour point of liquids, particularly fuels, at sub-ambient temperatures. A sample is placed in a viscometer which viscometer is rapidly cooled by a chiller. During cooling, after some measurements of temperature and viscosity, further temperatures and viscosity are approximated using the least squares method, which temperature and viscosity are subsequently measured to determine the pumpability limit. Continuation of the method will also give the freeze point and pour point of the sample being tested.
1. A method for determining characteristics of a fluid, such as jet fuel, at sub-ambient temperatures, said characteristics including a lower pumpability limit of said fluid, the method including the following steps:
connecting an oscillating piston type viscometer to a chiller so that said chiller can rapidly cool said viscometer;
placing a sample of said fluid in said viscometer;
rapidly cooling said viscometer and said sample with said chiller while measuring temperature and viscosity of said sample;
storing said temperatures and viscosities of said sample as measured;
analyzing said temperatures and viscosities as measured to first calculate an approximate temperature/viscosity curve of said sample;
predicting a pumpability limit of said sample by extrapolation of said approximate temperature/viscosity curve;
continue cooling said viscometer and said sample therein;
first determining a measured pumpability limit of said sample by measuring the temperature of said sample whereby the maximum allowable viscosity is reached;
said chiller further continues to cool said viscometer and said sample therein while further measuring said temperatures and viscosities and further storing said temperatures and viscosities as measured;
second calculating the difference between (a) said approximate temperature/viscosity curve of said sample and (b) said measured viscosity;
third calculating a second derivative from the difference between (a) said approximate temperature/viscosity curve of said sample and (b) said measured temperature; and
second determining temperature T ch1 of said sample at a moment of extreme value change of said second derivative.
2. The method of determining characteristics of a fluid at sub-ambient temperatures as recited in claim 1 wherein said pumpability limit is reported to an operator.
3. The method of determining characteristics of a fluid at sub-ambient temperatures as recited in claim 2 including a third determining step for measuring temperature T ch2 of said sample when said viscometer stops measuring.
4. The method of determining characteristics of a fluid at sub-ambient tempertures as recited in claim 3 including a fourth calculating step to determine pour point temperature and freeze point temperature based upon temperatures T ch1 and T ch2 .
5. The method of determining characteristics of a fluid at sub-ambient temperatures as recited in claim 4 wherein said pour point temperature and said freeze point temperature are reported to said operator.
6. The method of determining characteristics of a fluid at sub-ambient temperatures as recited in claim 5 wherein said chiller is a Stirling engine.
7. The method of determining characteristics of a fluid at sub-ambient temperatures as recited in claim 5 wherein temperature of said viscometer is returned to ambient temperature, cleaned and the prior steps repeated for a new sample.