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Abstract. We study the isothermal flow of a dusty viscous incompressible conducting fluid between two types of boundary motions-oscillatory and non-oscillatory, under the influence of gravitational force. Within the frame work of some physically realistic approximations and suitable boundary conditions, closed form solutions were obtained for the velocity profiles and the skin friction of the particulate flow. These results show that for a constant pressure gradient, only the velocity profile of the fluid and the skin friction are unaffected by gravity, while magnetic field is seen to affect both the fluid, particle velocities and the skin friction. Thus, our results are extension of previous results in literature, and graphical demonstration of some these solutions have been presented.

In this study, mathematical models of flow of the sterilized oil palm fruit stream was developed for isothermal operations and solved analytically or in closed forms. Non-isothermal condition was not considered due to insignificant temperature differences of the fruit stream measured between the inlet and outlet of the digester screw press implying that the isothermal operation is applicable. The mathematical model developed was validated by comparing experimentally determined values of volumetric flow rate with that of the predicted value. Predicted values of volumetric flow rate obtained from the model simulations compared favourably well with the experimentally measured values obtained within the realistic operating conditions of the machine.