Abstract
A function correlating the relative viscosity of a suspension of solid particles in liquids to their concentration is derived here theoretically using only general thermodynamic ideas, with out any consideration of microscopic hydrodynamic models. This function (ηr = exp (1/2B*C2)) has a great advantage over the many different functions proposed in literature, for it depends on a single parameter,B*, and is therefore concise. To test the validity of this function, a least-squares regression analysis was undertaken of available data on the viscosity and concentration of suspensions of coal particles in fuel oil, which promise to be a useful alternative to fuel oil in the near future. The proposed function was found to accurately describe the concentration-dependent behaviour of the relative viscosity of these suspensions. Furthermore, an attempt was made to obtain information about the factors affecting the value ofB*, however the results were only qualitative because of, among other things, the inaccuracy of the viscosity measurements in such highly viscous fluids.
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