The effect of longitudinal vibration on poiseuille flow in a non-circular pipe |
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Authors: | JY Kazakia RS Rivlin |
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Institution: | Center for the Application of Mathematics, Lehigh University, Bethlehem, Pa. U.S.A. |
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Abstract: | The effect is discussed of a superposed longitudinal sinusoidal vibration on the flow, under a constant pressure gradient, of a slightly non-Newtonian fluid in a straight pipe of non-circular cross-section. It is found that a flow in transverse planes is produced. This is the superposition of steady and sinusoidal flows. The stream-function corresponding to the steady flow is obtained in the case when the pipe has a rectangular cross-section. The discussion is based on a Rivlin-Ericksen constitutive equation in which only“second-order” non-Newtonian terms are present. |
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