Linear gravity waves on Maxwell fluids of finite depth |
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Authors: | Zhang Qinghe Sun Yabin |
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Institution: | (1) School of Civil Engineering, Tianjin University, 300072 Tianjin, China |
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Abstract: | Linear surface gravity waves on Maxwell viscoelastic fluids with finite depth are studied in this paper. A dispersion equation
describing the spatial decay of the gravity wave in finite depth is derived. A dimensionless memory (time) number θ is introduced.
The dispersion equation for the pure viscous fluid will be a specific case of the dispersion equation for the viscoelastic
fluid as θ=0. The complex dispersion equation is numerically solved to investigate the dispersion relation. The influences
of θ and water depth on the dispersion characteristics and wave decay are discussed. It is found that the role of elasticity
for the Maxwell fluid is to make the surface gravity wave on the Maxwell fluid behave more like the surface gravity wave on
the inviscid fluid.
The project supported by the National Natural Science Foundation of China (50279029) |
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Keywords: | Maxwell fluid linear gravity wave finite depth dispersion relation |
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