Dual Role of Viscosity During Start-Up of a Maxwell Fluid in a Pipe

Ling, Ren; Zhu, Konglin

doi:10.1088/0256-307x/21/1/035

Cited by 4 publications

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“…Nanyang Technological University Library superfluid action of the flow. mathematical procedure[126][127][128][129] to solve such flow can be used for approximations in viscoelasticity is due to dual nature of the fluid as being a Hookean solid and a viscousA~+ L == 21] D + A abc t~t l\~).it NANYANG t~~TECHNOLOGICAL J.l'Sh.t. UNNERSITYthe effective thermal diffusivity proportional to 1/ T (T is the temperature.).…”

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Investigation of superfluidity in ultra-short flows : effect of time-lags in transport phenomena

Tavallali¹

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Since the model presented in this report is the newest model to describe the superfluidity, and predict it at high temperatures, the author has tried to show the validation of the model by converting it into one of the previous well-known models by using mathematical linear approximation procedure. This approach, clearly, paves the way for the model to suggest that, not only is the model could be correct, both physically and mathematically, but also a more rigorous one among all other models. As mentioned earlier, Delay Differential Equations (DDEs) are a consequence of the idea behind the phase-lagged formulations. As a result, the solutions of these equations become vital to the model. The analytic solution for a subclass of Partial Delay Differential Equations (PDDE) has been proposed. The numerous numerical solutions have also been presented in the text. The model presented in this report will have the ability of extension into other fields of physics. The model will be useful in areas such as superfluidity, superconductivity, startup flows, ultra-short phenomena (such as ultra-short laser pulses), supertransport of energy, Quantum Mechanics, etc.

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confidence: 99%

Investigation of superfluidity in ultra-short flows : effect of time-lags in transport phenomena

Tavallali¹

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Effects of relaxation time on start-up time for starting flow of Maxwell fluid in a pipe

Zhu

2009

Acta Mech Sin

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Although the analytical solution of the starting flow of Maxwell fluid in a pipe has been derived for a long time, the effect of relaxation time λ on start-up time t s of this flow is still not well understood. Especially, there exist a series of jumps on the t s -λ curve. In this paper we introduce a normalized mechanical energy by mode decomposition and mathematical analogy to describe the start-up process. An improved definition of start-up time is presented based on the normalized mechanical energy. It is proved that the t s -λ curve contains a series of jumps if λ is larger than a critical value. The exact positions of the jumps are determined and the physical reason of the jumps is discussed.

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Displacement Mechanism of Polymer Flooding by Molecular Tribology

Yang¹,

Song²

2006

Chinese Phys. Lett.

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Dual Role of Viscosity During Start-Up of a Maxwell Fluid in a Pipe

Cited by 4 publications

References 1 publication

Investigation of superfluidity in ultra-short flows : effect of time-lags in transport phenomena

Investigation of superfluidity in ultra-short flows : effect of time-lags in transport phenomena

Effects of relaxation time on start-up time for starting flow of Maxwell fluid in a pipe

Displacement Mechanism of Polymer Flooding by Molecular Tribology

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