1977•Journal of the Textile Machinery Society of JapanOpen access

Numerical Analysis of Two-Dimensional Viscoelastic Flow

Kiyoji Nakamura, Akira Horikawa

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Abstract

The numerical analysis using the vorticity and the stream function is so useful to study two-dimensional viscous liquid flows that many problems have been solved by this method. In the present paper, this method has been expanded to two-dimensional viscoelastic liquids, and, as an example, the flow of a viscoelastic liquid into a slit has been calculated by using the Maxwell model.Comparing the results of numerical calculations with those of experiments, we found that the former agreed well with the latter. From this fact, it is clear that this numerical analysis is valid for the study of viscoelastic liquid flows.As it is easy to change the constitutive equations in this method, this method is applicable to the analysis of many viscoelastic flows.

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What this paper is about

The numerical analysis using the vorticity and the stream function is so useful to study two-dimensional viscous liquid flows that many problems have been solved by this method. In the present paper, this method has been expanded to two-dimensional viscoelastic liquids, and, as an example, the flow of a viscoelastic liquid into a slit has been calculated by using the Maxwell model.Comparing the results of numerical calculations with those of experiments, we found that the former agreed well with the latter. From this fact, it is clear that this numerical analysis is valid for the study of viscoelastic liquid flows.As it is easy to change the constitutive equations in this method, this method is applicable to the analysis of many viscoelastic flows.

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Available abstract

The numerical analysis using the vorticity and the stream function is so useful to study two-dimensional viscous liquid flows that many problems have been solved by this method. In the present paper, this method has been expanded to two-dimensional viscoelastic liquids, and, as an example, the flow of a viscoelastic liquid into a slit has been calculated by using the Maxwell model.Comparing the results of numerical calculations with those of experiments, we found that the former agreed well with the latter. From this fact, it is clear that this numerical analysis is valid for the study of viscoelastic liquid flows.As it is easy to change the constitutive equations in this method, this method is applicable to the analysis of many viscoelastic flows.

Key concepts: Viscoelasticity, Numerical analysis, Flow (mathematics), Mechanics, Constitutive equation, Viscous liquid, Stream function, Vorticity

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