Viscous correction for the viscous potential flow analysis of capillary instability with heat and mass transfer
详细信息 查看全文
- 作者：Mukesh Kumar Awasthi (1)
Rishi Asthana (1)
G. S. Agrawal (1) - 关键词：Capillary instability ; Heat and mass transfer ; Viscous potential flow ; Viscous correction ; Viscous pressure
- 刊名：Journal of Engineering Mathematics
- 出版年：2013
- 出版时间：June 2013
- 年：2013
- 卷：80
- 期：1
- 页码：75-89
- 全文大小：496KB
- 参考文献：1. Chandrasekhar S (1981) Hydrodynamic and hydromagnetic stability. Dover, New York
2. Drazin PG, Reid WH (1981) Hydrodynamic stability. Cambridge University Press, Cambridge
3. Ozen O, Narayanan R (2004) The physics of evaporative and convective instabilities in bilayer systems: linear theory. Phys Fluids 16: 4644鈥?652 CrossRef
4. Funada T, Joseph DD (2002) Viscous potential flow analysis of capillary instability. Int J Multiph Flow 28: 1459鈥?478 CrossRef
5. Funada T, Joseph DD (2003) Viscoelastic potential flow analysis of capillary instability. J Non-Newtonian Fluid Mech 111: 87鈥?05 CrossRef
6. Hsieh DY (1972) Effect of heat and mass transfer on Rayleigh鈥揟aylor stability. Trans ASME 94(D): 156鈥?62
7. Hsieh DY (1978) Interfacial stability with mass and heat transfer. Phys Fluids 21: 745鈥?48 CrossRef
8. Nayak AR, Chakraborty BB (1984) Kelvin鈥揌elmholtz stability with mass and heat transfer. Phys Fluids 27: 1937鈥?941 CrossRef
9. Joseph DD, Liao T (1994) Potential flows of viscous and viscoelastic fluids. J Fluid Mech 256: 1鈥?3 CrossRef
10. Asthana R, Agrawal GS (2007) Viscous potential flow analysis of Kelvin鈥揌elmholtz instability with mass transfer and vaporization. Physica A 382: 389鈥?04 CrossRef
11. Awasthi MK, Agrawal GS (2012) Nonlinear analysis of capillary instability with heat and mass transfer. Commun Nonlinear Sci Numer Simulat 17: 2463鈥?475 CrossRef
12. Wang J, Joseph DD, Funada T (2005) Pressure corrections for potential flow analysis of capillary instability of viscous fluids. J Fluid Mech 522: 383鈥?94 CrossRef
13. Wang J, Joseph DD, Funada T (2005) Viscous contributions to the pressure for potential flow analysis of capillary instability of viscous fluids. Phys Fluids 17(052105): 1鈥?2
14. Awasthi MK, Agrawal GS (2012) Viscous contributions to the pressure for the potential flow analysis of magnetohydrodynamic Kelvin鈥揌elmholtz instability. Int J Appl Mech 4: 1鈥?6
15. Awasthi MK, Agrawal GS (2011) Viscous contributions to the pressure for the electroviscous potential flow analysis of capillary instability. Int J Theor Appl Multi Mech 2: 130鈥?45 CrossRef
16. Awasthi MK, Asthana R, Agrawal GS (2012) Pressure corrections for the potential flow analysis of Kelvin鈥揌elmholtz instability with heat and mass transfer. Int J Heat Mass Transf 55: 2345鈥?352 CrossRef
17. Kim HJ, Kwon SJ, Padrino JC, Funada T (2008) Viscous potential flow analysis of capillary instability with heat and mass transfer. J Phys A 41: 335205
18. Rayleigh L. (1892) On the stability of a cylinder of viscous fluid under capillary force. Philos Mag 34: 145鈥?54 - 作者单位：Mukesh Kumar Awasthi (1)
Rishi Asthana (1)
G. S. Agrawal (1)
1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India - ISSN：1573-2703
文摘
The linear analysis of capillary instability of the cylindrical interface between two viscous, incompressible fluids confined in a concentric annulus in the presence of heat and mass transfer is carried out. The viscous correction for the viscous potential flow theory is used for the investigation. Both fluids are taken as incompressible and viscous with different kinematic viscosities. To study the effect of shearing stresses, viscous pressure in the normal stress balance is included along with irrotational pressure. It is observed that heat and mass transfer has a stabilizing effect on the stability of the system and this effect enhances in the presence of irrotational shearing stresses. A comparison between viscous potential flow (VPF) solution and viscous correction for the viscous potential flow (VCVPF) is made and it is found that the VCVPF solution is more stable than the VPF solution.