Bounds on dissipation in magnetohydrodynamic problems in plane shear geometry
نویسندگان
چکیده
منابع مشابه
Bounds on dissipation in magnetohydrodynamic problems in plane shear geometry
The total dissipation rate for magnetohydrodynamic ~MHD! flows in plane geometry with both velocity and magnetic shear is studied. For some boundary conditions it is shown that the lower bound on the dissipation rate is achieved by the equivalent of Stokes flow for MHD. Using the background method @Doering and Constantin, Phys. Rev. Lett. 69, 1648 ~1992!# upper bounds for the dissipation rate a...
متن کاملBounds on dissipation in MHD problems in plane shear geometry
The total dissipation rate for magnetohydrodynamic (MHD) flows in plane geometry with both velocity and magnetic shear is studied. For some boundary conditions it is shown that the lower bound on the dissipation rate is achieved by the equivalent of Stokes flow for MHD. Using the ‘background method’ (Doering & Constantin, Phys. Rev. Lett. 69, 1648–1651 (1992)) upper bounds for the dissipation r...
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Shear ow with an applied cross-stream magnetic eld is studied using dissipative incompressible magnetohydrodynamics. The study incorporates exact solutions, the energy stability method, and exact bounds on the total energy dissipation rate. Two physical con gurations are examined: magnetic Couette ow and Hartmann ow, the latter being Poiseuille ow with the existence of a perpendicular magnetic ...
متن کاملBounds on dissipation in magnetohydrodynamic Couette and Hartmann shear flows
Shear flow with an applied cross-stream magnetic field is studied using dissipative incompressible magnetohydrodynamics. The study incorporates exact solutions, the energy stability method, and exact bounds on the total energy dissipation rate. Two physical configurations are examined: magnetic Couette flow and Hartmann flow, the latter being Poiseuille flow with the existence of a perpendicula...
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We study the problem of body-force driven shear flows in a plane channel of width ℓ with free-slip boundaries. A mini-max variational problem for upper bounds on the bulk time averaged energy dissipation rate ǫ is derived from the incompressible Navier-Stokes equations with no secondary assumptions. This produces rigorous limits on the power consumption that are valid for laminar or turbulent s...
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ژورنال
عنوان ژورنال: Physics of Plasmas
سال: 2003
ISSN: 1070-664X,1089-7674
DOI: 10.1063/1.1595649