Investigation of pipe flow instability and results for wave number zero
Arnold, Michael James
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Past research by Harrison and Johnston on the stability of pipe flow yielded only tenuous results owing to errors in setup of the problem and in formulation of the complex axis boundary conditions. Recent advances in the formulation of these boundary conditions and application of generalized stability criteria allowed an accurate numerical solution to be made for angular wave number zero. The results show that flow for this case is characterized by certain instabilities that have not been previously identified in linearized studies of this type. A nonuniform computational mesh was developed which provided dramatic reductions in computational time on a limited basis. Two data reduction programs were also developed to process and display data generated by the main program.
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