Effects of couple stress on the growth rate of rayleigh-taylor instability at the interface in a finite thickness couple stress fluid

Journal of Applied Fluid Mechanics

Volumn 3, Issue 1, 2010, Pages 83-89

  Rudraiah, N ^a   Chandrashekara, G ^b  

^a BANGALORE UNIVERSITY   (India)

^b National Research Institute for Applied Mathematics   (India)

Author keywords

Complex fluid; Coronary artery diseases; Micropolar fluid theory; Synovial joints inertial fusion energy

Indexed keywords

EID: 77954853654     PISSN: 17353572     EISSN: 17353645     Source Type: Journal    
DOI: 10.36884/jafm.3.01.11882     Document Type: Article

References (18)

1. Babchin, A.J, A.L. Frenkel and B.G. Levich (1983). Non-linear saturation of Rayleigh-Taylor instability in a thin film. Phy. Fluids 26, 3159.
2. Bhatia, P.K. (1974). Rayleigh-Taylor instability of two viscous superposed conducting fluids. Nuovo Cim. 19B, 161.
3. Chandrasekhar, S. (1961). Hydrodynamic and hydromagnetic stability. Dover Publication, New York.
4. Christperson, D.C. and Dawson (1959). An example of minimum energy dissipation in viscous flows. Proc. Ray. Soc. A251, 550.
5. Eringen, A.C. (1966). Theory of Micropolar Fluids. J. Math. Mech. 16, 1.
6. Fung, Y.C. (1981). Biomechanics. Springer and Verlag, New York.
7. Gill and Sankarasubramanian (1970). Exact analysis of unsteady convective diffusion. Proc. Ray. Soc. A316, London, 347.
8. Ng, C.O., N. Rudraiah, C. Nagraj and H.N. Nagraj (2005). Electrohydrodynamic dispersion of macromolecular components in nanostructure biological bearing. J. of Energy, Heat and Mass Transfer 27, 39.
9. Rudraiah, N. and C.O. Ng (2004). A model for manufacture of nanostructure of nano size smart material free from impurities. Current Sci. 86, 8.
10. Rudraiah, N. (2003). Effect of porous lining on reducing the growth rate of Rayleigh-Taylor instability in the inertial fusion energy target. Fusion Sci., and tech.43, 307-311.
11. Rudraiah, N., P. Sridharan and T. Desai (2003). Laser driven ablative surface instability in the inertial fusion energy. Int. J. Applied Mech. and Engg. 8(4), 665-676.
12. Rudraiah, N., S. Prema and S. Bhargava (2000). Rayleigh-Taylor instability in a finite thickness of a non-Newtonian fluid. Applied Mech. and Engg.5(2), 315-327.
13. Rudraiah, N. (1998). Anatomy and Biomechanics of Synovial Joints -Part II Mathematical Modelling. Recent trends in Basic and Applied anatomy 37-105, edited by I.M. Thomas, K. Srinivasa, Rajeshwari, SayeeRajangam, published by Rajeev Gandhi University of Health Science, Karnataka.
14. Rudraiah, N., S. Kantha and M.N. Manonmani (1998). Anatomy and Biomechanics of Synovial Joints: Part I. Recent Trends in Basic and Applied Anatomy as in Reference above, 1-9.
15. Rudraiah, N., S.R. Kasiviswanath and P.N. Kaloni (1991). Generalized dispersion in a synovial fluid of human joints. Biorheology 28, 207-219.
16. Sharma and K.C. Sharma (1978). Rayleigh-Taylor instability of two superposed conducting fluids in presence of suspended particles. Acta. Physica Hungarica 45, 213.
17. Stokes, V.K. (1968). Effects of Couple Stress in Fluid on Hydromagnetic Channel Flow. Phys. Fluids 11, 1131-1133.
18. Takabe, H., K. Mima, L. Montierth and R.L. Morse (1985). Self consistent growth rate of Rayleigh-Taylor instability in an ablative accelerating plasma. Phy. Fluids 28(12), 3676.