Gas drag forces on fractal aggregates

Mathematics

Scientific paper

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Aggregates, Comet Nuclei, Drag, Loads (Forces), Mathematical Models, Momentum Transfer, Force Distribution, Gas Flow, Interplanetary Dust, Monte Carlo Method, Particle Mass

Scientific paper

The interaction between gas and irregularly shaped dust aggregates is investigated in the free molecular limit on the basis of specular reflection model. A geometrical cross-section A of the aggregate and a mean momentum transfer P from a gas molecule to the aggregate have been estimated by Monte-Carlo simulations for collisions of gas molecules. It is found that the values of A for the aggregate with 8192 constituent particles become 4-10 times larger than that for an equivalent sphere in mass and this enhancement increases with increasing the size of the aggregate. Furthermore, P for the aggregate increases by several 10% in magnitude than that for the equivalent sphere due to multiple reflections of incident molecule on the rough surface of the target aggregate. These results lead to a significant increase of gas drag forces on the aggregate compared to those on the equivalent sphere. Consequently, we can predict that the maximum mass of cometary dust particles lifted up from the cometary nucleus by gas drag forces becomes more than roughly two orders of magnitude larger than that expected for spherical dust model.

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