Helical buckling of a whirling conducting rod in a uniform magnetic field
نویسندگان
چکیده
منابع مشابه
Instability of a Whirling Conducting Rod in the Presence of a Magnetic Field
We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure subject to end forces. Both statical (buckling) and dynamical (whirling) instability are considered and we also compute post-buckling configurations. The theory used is the geometrically exact Cosserat rod theory. We consider two types of boundary conditions: the traditional welded boundary condit...
متن کاملIntegrability of a conducting elastic rod in a magnetic field
We consider the equilibrium equations for a conducting elastic rod placed in a uniform magnetic field, motivated by the problem of electrodynamic space tethers. When expressed in body coordinates the equations are found to sit in a hierarchy of noncanonical Hamiltonian systems involving an increasing number of vector fields. These systems, which include the classical Euler and Kirchhoff rods, a...
متن کاملIntegrability, Localisation and Bifurcation of an Elastic Conducting Rod in a Uniform Magnetic Field
The classical problem of the buckling of an elastic rod in a magnetic field is investigated using modern techniques from dynamical systems theory. The Kirchhoff equations, which describe the static equilibrium equations of a geometrically exact rod under end tension and moment are extended by incorporating the evolution of a fixed external vector (in the direction of the magnetic field) that in...
متن کاملNanofluid Flow in a Semi-porous Channel in the Presence of Uniform Magnetic Field
In this paper, the problem of laminar nanofluid flow in a semi-porous channel is investigated analytically using Homotopy Perturbation Method (HPM). This problem is in the presence of transverse magnetic field. Here, it has been attempted to show the capabilities and wide-range applications of the Homotopy Perturbation Method in comparison with the numerical method in solving such problems. The...
متن کاملStudy of Chemically Reactive Flow and Heat Transfer in the Presence of a Uniform Magnetic Field
The effects of chemical reaction, thermal stratification, Soret and Dufour numbers on magneto-hydrodynamic free convective heat and mass transfer of a viscous, incompressible,and electrically conducting fluid on a vertical stretching surface embedded in a saturated porous medium are presented. A similarity transform is used to reduce the governing partial differential equations into a syste...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Non-Linear Mechanics
سال: 2012
ISSN: 0020-7462
DOI: 10.1016/j.ijnonlinmec.2011.12.005