Weak non-linear oscillatory convection in a viscoelastic fluid layer under gravity modulation

B.S. Bhadauria; Palle Kiran

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Weak non-linear oscillatory convection in a viscoelastic fluid layer under gravity modulation

机译：重力调制下粘弹性流体层中的弱非线性振荡对流

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摘要

Using a complex non-autonomous Ginzburg-Landau equation, we have investigated oscillatory Rayleigh-Benard convection under Gravity modulation, considering a viscoelastic fluid layer. The influence of (stress) relaxation and (strain) retardation times of viscoelastic fluid on heat transfer has been discussed. The study establishes that the heat transport can be controlled effectively by a mechanism that is external to the system. Modulation has a destabilization effect at low frequencies and a stabilization effect at high frequencies, which increases with increasing the amplitude of modulation. Finally, it is found that overstability advances the onset of convection, hence increases heat transfer.

机译：使用一个复杂的非自治Ginzburg-Landau方程，我们考虑了粘弹性流体层，研究了重力调制下的振荡瑞利-贝纳德对流。讨论了粘弹性流体的（应力）松弛和（应变）延迟时间对传热的影响。研究表明，可以通过系统外部的机制来有效地控制热传输。调制在低频下具有去稳定作用，而在高频下具有稳定作用，其随着调制幅度的增加而增加。最后，发现过度稳定性会促进对流的发生，从而增加热传递。

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来源
《International journal of non-linear mechanics》 |2014年第10期|133-140|共8页
作者
B.S. Bhadauria; Palle Kiran;
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作者单位

Department of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226 025, India,Department of Mathematics, Faculty of Sciences, Banaras Hindu University, Varanasi 221005, India;

Department of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow 226 025, India;

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正文语种 eng
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关键词
Non-linear stability; Gravity modulation; Overstability; Viscoelastic fluids;

机译：非线性稳定性;重力调制;过度稳定;粘弹性流体;

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1. Weak Nonlinear Oscillatory Convection in a Viscoelastic Fluid-Saturated Porous Medium Under Gravity Modulation [J] . B. S. Bhadauria, Palle Kiran Transport in Porous Media . 2014,第3期

机译：重力调制下粘弹性流体饱和多孔介质中的弱非线性振荡对流
2. STABILITY ANALYSIS AND INTERNAL HEATING EFFECT ON OSCILLATORY CONVECTION IN A VISCOELASTIC FLUID SATURATED POROUS MEDIUM UNDER GRAVITY MODULATION [J] . B. S. BHADAURIA, M. K. SINGH, A. SINGH, International Journal of Applied Mechanics and Engineering . 2016,第4期

机译：重力调制下粘弹性流体饱和多孔介质中振动对流的稳定性分析和内加热效应
3. Weakly Nonlinear Oscillatory Convection in a Viscoelastic Fluid Saturated Porous Medium with Throughflow and Temperature Modulation [J] . P.Kiran, Y.Narasimhulu, S.H.Manjula International Journal of Applied Mechanics and Engineering . 2018,第3期

机译：粘弹性流体饱和多孔介质中弱非线性振荡对流，通过流量和温度调制
4. Linear and weakly nonlinear analysis of Rayleigh-Benard convection for viscoelastic fluids [C] . B. Albaalbaki, Roger E. Khayat 21st Canadian Congress of Applied Mechanics(CANCAM 2007) . 2007

机译：粘弹性流体的瑞利-贝纳德对流的线性和弱非线性分析
5. AN EXPERIMENTAL STUDY ON NATURAL CONVECTION HEAT TRANSFER OF NON-NEWTONIAN FLUIDS FROM HORIZONTAL WIRES (RHEOLOGY, POLYMER SOLUTION, POWER-LAW, PURELY VISCOUS, VISCOELASTIC). [D] . NG, MOSES LUNGFAI. 1985

机译：水平线非牛顿流体自然对流传热的实验研究（流变学，聚合物溶液，幂律，纯粘性，粘弹性）。
6. The Onset of Double Diffusive Convection in a Viscoelastic Fluid-Saturated Porous Layer with Non-Equilibrium Model [O] . Zhixin Yang, Shaowei Wang, Moli Zhao, -1

机译：非平衡模型在粘弹性流体饱和多孔层中双扩散对流的开始
7. Stability Analysis and Internal Heating Effect on Oscillatory Convection in a Viscoelastic Fluid Saturated Porous Medium Under Gravity Modulation [O] . Bhadauria B.S., Singh M.K., Singh A., 2016

机译：重力调制下粘弹性流体饱和多孔介质振动对流的稳定性分析和内部加热效应
8. Effect of Gravity Modulation on Thermosolutal Convection in an Infinite Layer ofFluid [R] . Saunders, B. V., Murray, B. T., McFadden, G. B., 1991

机译：重力调制对流体无限层热声对流的影响

Weak non-linear oscillatory convection in a viscoelastic fluid layer under gravity modulation

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