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Gas flows inside and around rapidly rotating bodies made of cellular-porous materials are studied numerically and experimentally. Within the framework of the previously proposed physicomathematical model, an appropriate numerical algorithm is developed and tested. Internal flows and a conjugate problem with the external flow are considered. The calculated moment and dynamic pressure are in good agreement with experimentally measured characteristics of a rotating porous disk on a solid substrate.Introduction. Highly permeable cellular-porous materials (CPM) found their application as filtering elements and heat-and mass-exchangers in various fields of engineering.The idea of using these materials and their analogs for manufacturing rotors of multifunctional energyconvecting devices was put forward at the Institute of Theoretical and Applied Mechanics (ITAM) of the Siberian Division of the Russian Academy of Sciences in 2002 and served as a basis for an integration project in basic research [1,2]. A numerical and theoretical study of external and internal aerodynamics in the case of rotation of permeable bodies was performed in [3].A physicomathematical model based on principles of mechanics of heterogeneous media was developed in [4]; some new exact and approximate (asymptotic and numerical) solutions were obtained there for one-dimensional and two-dimensional swirl flows inside rotating porous bodies. In the general case, where the drag of a porous structure can be presented as a quadratic or two-term (linear-quadratic) dependence on flow velocity, an analysis of two-dimensional swirl flows can be performed by methods of numerical simulation only. For the full problem of gas motion during rotation of a porous body to be solved, the internal and external flows should be considered together, in a conjugate formulation.The objectives of the present work are -numerical and experimental determination of the flow field inside and in the vicinity of a rotating solid CPM body; -analysis of numerical solutions obtained and their stability; -determination of the influence of physical parameters (dimensionless length of the cylinder, drag law, and drag coefficients) on the type and character of the flow; -verification of the proposed mathematical model by comparing numerical results with experimental data. Physical and Mathematical Formulation of the Problem. A cylindrical CPM body set into rotation around its centerline with a certain angular velocity is considered. Owing to rotation, a forced flow is formed inside the body under the action of centrifugal convection. A mathematical model that describes a steady isothermal flow

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