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Asymptotic solution for laminar isothermic flow of compressible fluid between rotating surfaces of revolution

Walicka A.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 4

1101-1118

A steady laminar flow of a compressible newtonian fluid is considered, in a narrow space between two surfaces of revolution, rotating with generally different angular velocities about a common axis of symmetry. The problem statement for two classes of throughflow, with full and rotational inertia, is formulated. A procedure for perturbing a creeping flow solution and an iteration scheme are developed to produce a solution for higher approximations. The solution depends on seven parameters and is asymptotic in the sense of its good convergence in the second approximation for both classes of throughflow. Results for the second class of throughflow are presented for the velocity components, the pressure and temperature distributions for typical shapes of surfaces such as disks and spherical surfaces.

Asymptotic solution for laminar flow of an incompressible fluid with variable viscosity and thermal conductivity between rotating surfaces of revolution

Walicka A.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 3

831-848

A steady laminar flow of an incompressible Newtonian fluid with variable viscosity and thermal conductivity is considered, in a narrow space between two surfaces of revolution, rotating with generally different angular velocities about a common axis of symmetry. The problem statement for two classes of throughflow, with full and rotational inertia, is fonnulated. A procedure for perturbing a creeping flow solution and an iteration scheme are developed to produce a solution for higher approximations. The solution depends on eight or seven parameters and is asymptotic in the sense of its good convergence in the second approximation for both classes of throughflow. Results for second class of throughflow are presented for the velocity components, the pressure and the temperature distributions for typical shapes of surfaces as disks and spherical surfaces.

Simulation of the flow of an electrorheological fluid between rotating surfaces of revolution

Walicka A.

Applied Mechanics and Engineering

1999

Vol. 4, no spec.

265-270

The steady laminar flow of an electrorheological fluid (ERF) through narrow space between two rotating surfaces of revolution is considered. The ERF is modelled as a viscoplastic fluid of Herschel - Bulkley. The quasi - linearized equations of flow for axial symmetry in the curvilinear coordinate system x, 'teta', y are used. The obtained solutions to the equations of motion have been illustrated by examples of flow through the clearance of constant thickness between rotating disks and spherical surfaces.