I work on problems of pattern-forming instabilities in fluid dynamics. The problems of thermal convection, magneto-convection and interfacial waves are of current interests. Low-Prandtl-number fluids show several inetersting feartures including the phenomenon of bursting of patterns in the presence of Coriolis force as well as Lorentz force.
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Linear Theory of Faraday Instability in Viscous Liquids Kumar K. By Proceedings of The Royal Society A 452 1113-1126 (1996)
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Critical Bursting Kumar K., Pal P. , Fauve S. By Europhysics Letters 74(6) 1020-1026 (2006)
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Parametric instability of a liquid-vapor interface close to the critical point Fauve S., Kumar K. , Laroche C. , Beysens D. , Garrabos Y. By Physical Review Letters 68 3160-3163 (1992)
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Parametric instability of the interface between two fluids Kumar K., Tuckerman L. S. By Journal of Fluid Mechanics 279 49-68 (1994)
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Locating the extraordinary ray Sastry G. P., Kumar K. , Chakrabarty S. By American Journal of Physics 55 659-661 (1987)
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Heap corrugation and hexagon formation of powder under vertical vibrations Falcon E., Kumar K. , Bajaj K. S., Bhattacharjee J. K. By Physical Review E 59 5716-5721 (1999)
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Zero-Prandtl-number convection with slow rotation Maity P., Kumar K. By Physics of Fluids 26: 104103 1-30 (2014)
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Frequency spectra of turbulent thermal convection with uniform rotation Pharasi H. K., Kumar K. , Bhattacharjee J. K. By Physics Review E 90 (041004R) 1-4 (2014)
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Pattern dynamics near inverse homoclinic bifurcation in fluids Pal P., Kumar K. , Maity P. , Dana S. K. By Physical Review E 87: 023001 1-5 (2013)
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Turbulence in rotating Rayleigh-Bénard convection in low-Prandtl-number fluids Pharasi H. K., Kannan R. , Kumar K. , Bhattacharjee J. K. By Physical Review E 84: 047301 1-4 (2011)
- Co-Principal Investigator
Ph. D. Students
Rebeka Sarkar
Area of Research: Pattern-forming instabilities
Vibhuti Bhushan Jha
Area of Research: Hydrodynamic Instability and Pattern Formation