4 papers
Fully nonlinear mode competitions in magnetised Taylor-Couette flow
R. Ayats, K. Deguchi, F. Mellibovsky +1
We study the nonlinear mode competition of various spiral instabilities in magnetised Taylor-Couette flow. The resulting finite-amplitude mixed-mode solution branches are tracked u…
High-speed standard magneto-rotational instability
Kengo Deguchi
The large Reynolds number asymptotic approximation of the neutral curve of Taylor-Couette flow subject to axial uniform magnetic field is analysed. The flow has been extensively st…
High-speed shear driven dynamos. Part 2. Numerical analysis
Kengo Deguchi
This paper aims to numerically verify the large Reynolds number asymptotic theory of magneto-hydrodynamic (MHD) flows proposed in the companion paper Deguchi (2019). To avoid any c…
High-speed shear driven dynamos. Part 1. Asymptotic analysis
Kengo Deguchi
Rational large Reynolds number matched asymptotic expansions of three-dimensional nonlinear magneto-hydrodynamic (MHD) states are concerned. The nonlinear MHD states, assumed to be…