Nonextensive Statistical Mechanics

232 7 Thermodynamical and Nonthermodynamical ApplicationsFig. 7.12 Values of q used in Fig. 7.11. The Reynolds numbers are, from bottom to top, 69,000,133,000, 266,000 and 540,000 (from [433]).1.20q1.161.12Re = 69 000Re = 133 000Re = 266 000Re = 540 0001.081.041.000 0.2 0.4X≡{[In(r/η)]/[(In Re) 7/4 )]} 0.37 0.6Fig. 7.13 Same data as in Fig. 7.12. The variable in the abscissa was heuristically found. Thevariable [ln(r/η)]/[(ln Re) 7/4 ] leads to data collapse of the central region; the exponent 0.37 makesthe data-collapsed region to become roughly a straight line. These features remain unexplaineduntil now (from [434]).