Characteristics of viscous fingering patterns in polymer solutions were investigated by radially pushing air in a radial Hele-Shaw cell containing hydroxypropyl methyl cellulose (HPMC) solutions. Low and high molecular weight HPMC samples were used. An increase in molecular weight easily yielded cha
Nonextensive statistics in viscous fingering
β Scribed by Patrick Grosfils; Jean Pierre Boon
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 541 KB
- Volume
- 362
- Category
- Article
- ISSN
- 0378-4371
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π SIMILAR VOLUMES
In this short paper, we establish a variational expression of the Tsallis relative entropy. In addition, we derive a generalized thermodynamic inequality and a generalized Peierls-Bogoliubov inequality. Finally we give a generalized Golden-Thompson inequality.
In the context of nonextensive Tsallis statistics, sensible examples are employed in order to compare the variational method proposed in Phys. Rev. Lett. 80 (1998) 218 with the one in J. Phys. A 26 (1993) L893. These examples are such that they can be solved exactly. Thus, a comparison of the exact
Viscous fingering patterns of aqueous glycerol and hydroxypropyl methyl cellulose (HPMC) solutions pushed by air in the Hele-Shaw cell were observed as a function of isopropyl alcohol. An increase in isopropyl alcohol led to a decrease in surface tension as well as an increase in viscosity of the re