Smith, F.T., Purvis, R., Dennis, S.C.R., Jones, M.A., Ovenden, N.C. and Tadjfars, M.
Fluid flow through various branching tubes
Journal of Engineering Mathematics, 47, (3-4), .
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In this part-review part-new work, studies on branching tube flows are described. These are based on modelling for increased flow rates as well as on direct numerical simulations and are motivated by applications to the cardiovascular system, lung airways and cerebral arteriovenous malformations. Small pressure differentials acting across a multiple branching are considered first, followed by substantial pressure differentials in a side branching, multiple branching or basic three-dimensional branching. All cases include a comparison of results between the modelling and the direct simulations. Wall shear, pressure variation, influence lengths, and separation or its suppression are examined, showing in particular sudden spatial adjustment of the pressure between mother and daughter tubes, nonunique flow patterns and a linear increase of flow rate with increasing number of daughters, dependent on the specific conditions. The agreement between modelling and direct simulations is generally close at moderate flow rates, suggesting their combined use in the biomedical applications.
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