Hydrodynamic and thermal analysis of suspension flows is a difficult but fundamental task for the sterilization problems of particle charged fluids in food industries and also in any process where we can find flow with seeded particles. Nowadays, the influence of solid suspended particles on the flow is not yet a well known problem. Nevertheless, the solid particles have a strong influence on the theological mixture's behaviour. The new approach of these solid-liquid suspension flows that we propose is based on experimental data and theoretical considerations. We use hard sphere approach in order to model the pressure drop assuming the mixture as an effective continuous medium. On these bases, we present a model of the heat transfer at the wall. (c) 2005 Elsevier Ltd. All rights reserved.