Little is understood about the unsteady-state flow of coal water fuels such as shear stress growth after the onset of a sudden shear rate. The theories in the literture are not always able to predict for example, stress growth at a given constant shear rate from data obtained on other experiments. A rheologlical model was developed to be able to adequately represent data in the time domain. The results of our analysis revealed that three parameter model, provides an execellent description of the transient behavior of dense/coal water fuels. The theory was tested and found to compare well to the experimental data.