In fluid transport, precise knowledge or estimation of fluids behaviour is very necessary, for mass flow and heat transfer computations. In this study, physicochemical analysis of palm oil and soybean oil were conducted, in addition to an equation modeling the relationship between the energy (Ea) and the pre-exponential factor (A). Later, two other parameters; the Arrhenius temperature (T) and Arrhenius activation temperature (T*) were introduced to buttress the veracity of the model used. The model is very useful in engineering since it would make for the estimation of the missing parameter value and its derivatives. The goodness of the result is strongly reinforced by the regression coefficient. The results indicate that the model which best fits the major defining parameters are logarithmic in nature. All the parameters studied showed that the two oil samples are good feedstock for biodiesel production and confirms their relevance in electric voltage transformers.Keywords: Physicochemical, Viscosity, Arrhenius Parameters, Equation Modeling, Temperature, Vegetable Oil

The knowledge and estimate of transport behaviours of fluids are very influential in heat and mass flow. In this study, an equation correlating the Arrhenius energy (Ea), the pre-exponential factor (A), the Arrhenius temperature (T) and the Arrhenius activation temperature (T*) is applied so as to buttress the depth of discussion. The results obtained from the viscosity experiments of Mustard and Cotton seed oils at different temperature ranges offers very good results statistically. The Activation energy Ea, Entropic (pre-exponential) factor A, Arrhenius temperature TA and the Arrhenius activation temperature for the mustard oil were observed to be 374.37381 J/mole, 12.39260595 cP, -17.89797783 oC, 45.051 oC respectively while Activation energy Ea, Entropic (pre-exponential) factor A, Arrhenius temperature TA and the Arrhenius activation temperature for the cotton seed oil are respectively 451.90611 J/mole, 8.210386507 cP, - 25.8292961 oC, 54.381 oC. The coefficients of regressions (R2) for the graph of the natural log of viscosity versus reciprocal of temperature (Figures 2 and 4) for the mustard oil and cotton seed oil are 0.9996 and 0.9996 respectively. Since the correlation coefficient is the measure of how well a collection of data points can be modeled by a line, we can hence conclude that the natural log of the viscosity of both seed oil samples versus the inverse of their respective temperatures have a very good fit.