Fluid Model for Wireless Adhoc Networks

In this paper, we propose an analytical fluid model for adhoc wireless networks. Our fluid model consists in replacing a finite number of nodes by an equivalent continuum - characterized by a density of nodes - and disseminated in the network according to some distribution function. The key feature of our model is that it takes into account the effect of interference, the CSMA/CA mechanism and radio propagation aspects in an easy and straightforward way. We will give closed form formulae of the Mean Capacity per node and the Coverage Probability, along with an evaluation of the impact of nodes density, network size and carrier sense range on overall performance.