2005Sichuan University of Science and TechnologyRequires access

Approximate Solution to Potential Flow Field for Axially Symmetric Bodies

Peng Rong-qiang

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Abstract

By using the symmetry of three-dimensional flow as the theoretical foundation, stokes stream function can be used to infer the relationship among the streamline, stream function and velocity potential. Then the author uses the result to design the arrangement of line sources and sinks in conjunction with a uniform flow. It is possible to yield an approximate solution to the flows for bodies of revolution.

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What this paper is about

By using the symmetry of three-dimensional flow as the theoretical foundation, stokes stream function can be used to infer the relationship among the streamline, stream function and velocity potential. Then the author uses the result to design the arrangement of line sources and sinks in conjunction with a uniform flow. It is possible to yield an approximate solution to the flows for bodies of revolution.

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Available abstract

By using the symmetry of three-dimensional flow as the theoretical foundation, stokes stream function can be used to infer the relationship among the streamline, stream function and velocity potential. Then the author uses the result to design the arrangement of line sources and sinks in conjunction with a uniform flow. It is possible to yield an approximate solution to the flows for bodies of revolution.

Key concepts: Stream function, Axial symmetry, Potential flow, Flow (mathematics), Symmetry (geometry), Function (biology), Mechanics, Velocity potential

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