Physics

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Modification of the Kawasaki’s Analytic Function in Binary Liquid Mixtures
(2019-10-04) Mahmoud Eisa Sadeq, Rowaida
The temperature dependence of the ultrasonic attenuation absorption coefficient at critical composition and above critical temperature Tc for the binary mixture nitroethane-isooctane at 5, 7, 10, 15, 21, and 25 MHz frequencies ( is investigated. In addition, the linear relation of the ultrasonic attenuation absorption coefficient at critical point ( versus 𝑓−1.06 showed an excellent agreement with the dynamic scaling theory of Ferrell and Bhattacharjee. The experimental values of ( ) for nitroethane-isooctane binary mixture are plotted as a function of reduced frequency ω* and it showed a good agreement with the theoretical scaling function F(ω*). Furthermore, Fixmen, Kawasaki, Hornowski, Mistura, and Chapan function failed to explain the experimental behavior of the binary liquid mixtures at critical composition and above critical temperature according to mode coupling theories. In this thesis we corrected the analytic function of Fixmen’s, Kawasaki’s, Hornowski’s, Mistura’s, and Chapan’s theories was corrected in order to get an agreement with the experimental behavior of the binary liquid mixtures at critical composition and above the critical temperature.