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Correlation of the Elastic Properties in Steady‐State Flow and Vibrational Experiments

 

作者: W. Philippoff,  

 

期刊: Journal of Applied Physics  (AIP Available online 1965)
卷期: Volume 36, issue 10  

页码: 3033-3038

 

ISSN:0021-8979

 

年代: 1965

 

DOI:10.1063/1.1702923

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A comparison between steady‐state and vibrational techniques for measuring the elastic properties of polymer solutions has shown an unexpected anomaly at high frequencies. The steady‐state technique used was flow birefringence which relates elasticity (recoverable shear,s) to the extinction angle &khgr;:s=2 cot 2&khgr;. The vibrational technique used, both the ultrasonic crystal and the Birnboim instruments, relates elasticity to the loss angle, &dgr;′: cot &dgr;m′=&eegr;2/(&eegr;1−&eegr; solv). The solutions investigated included a monodisperse polystyrene, S111, at concentrations of 2% and 4% in a chlorinated biphenyl (Aroclor 1248), a polydisperse polystyrene, PF‐139 and polyisobutylenes in oil. The same solutions were used in both kinds of instruments.In the lower range of frequencies (taken as equivalent to low shear rates) the steady‐state and dynamic instruments showed excellent agreement for the monodisperse polystyrene. In this range the curve agreed with the Zimm theory. But at higher frequencies the results from the two techniques diverged rapidly. The steady‐state measurements showedsto increase continually, whereas the dynamic measurements showed cot &dgr;m′ to pass through a flat maximum and then decrease slowly out to 2×106sec−1. This lack of agreement was unexpected and is unexplained. It does show that steady‐state elasticity cannot always be predicted from high‐frequency dynamic experiments. The steady‐state viscosity could be satisfactorily predicted from &eegr;1using Pao's theory, but only for the monodisperse polymers.

 

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