A model for radial flow in a tube-dome junction of a telescope

Physics

Scientific paper

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Air Flow, Baffles, Domes (Structural Forms), Radial Flow, Telescopes, Temperature Compensation, Stokes Flow, Temperature Control, Temperature Gradients, Thermodynamic Efficiency

Scientific paper

A model for the air flow occurring when two collars are placed around a telescope, extending from the equatorial mount to beyond the end of the telescope, in order to eliminate the effects of the warm air flowing from the cupola and distorting the field of view. The air flow from the dome is calculated as a function of the radii of the collars and the opening in the collars, the length of the telescope covered by the collars, and the temperature difference between the interior and exterior air. The flow is treated as moving between two circular disks separated by the depth of the collars. The slow, incompressible flow is assumed to follow the Stokes equations. It is found that the efficiency of the system varies as a reciprocal of the difference between the air temperatures inside and outside of the dome squared, and as the third power of the width of the gap in the collars.

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