Studies on the Extraction Rate of Oil from Fish Muscle

Part III. Extraction rate of mixture and diffusion constant of fish oil

Abstract

The extraction rate equations were derived for the mixture of several consistuents having different diffusion constants. It was found that the curve fitting and Laplace inverse transformation method were successful to estimate the distribution function of diffusion constants from the results obtained as ratios of extractable material content to the initial extractable material content vs. time. As it requires so much efforts, we simplified the method by assuming some approximations about the distribution function mentioned as follows.
By choosing the normal distribution as one of the approximation, the extraction rate equation was derived and discussed about the effects of standard deviation on the extraction, and figures were calculated to estimate the average value and standard deviation of diffusion constants.
The diffusion rate of fish oil were measured to determine the average value and standard deviation of diffusion constants and it was concluded that the effect of temperature on average value of diffusion constants D can be expressed as the known relation, D∝T/μ.