97 research outputs found
Structure of the Wake of a Magnetic Obstacle
We use a combination of numerical simulations and experiments to elucidate
the structure of the flow of an electrically conducting fluid past a localized
magnetic field, called magnetic obstacle. We demonstrate that the stationary
flow pattern is considerably more complex than in the wake behind an ordinary
body. The steady flow is shown to undergo two bifurcations (rather than one)
and to involve up to six (rather than just two) vortices. We find that the
first bifurcation leads to the formation of a pair of vortices within the
region of magnetic field that we call inner magnetic vortices, whereas a second
bifurcation gives rise to a pair of attached vortices that are linked to the
inner vortices by connecting vortices.Comment: 4 pages, 5 figures, corrected two typos, accepted for PR
On the analogy between streamlined magnetic and solid obstacles
Analogies are elaborated in the qualitative description of two systems: the
magnetohydrodynamic (MHD) flow moving through a region where an external local
magnetic field (magnetic obstacle) is applied, and the ordinary hydrodynamic
flow around a solid obstacle. The former problem is of interest both
practically and theoretically, and the latter one is a classical problem being
well understood in ordinary hydrodynamics. The first analogy is the formation
in the MHD flow of an impenetrable region -- core of the magnetic obstacle --
as the interaction parameter , i.e. strength of the applied magnetic field,
increases significantly. The core of the magnetic obstacle is streamlined both
by the upstream flow and by the induced cross stream electric currents, like a
foreign insulated insertion placed inside the ordinary hydrodynamic flow. In
the core, closed streamlines of the mass flow resemble contour lines of
electric potential, while closed streamlines of the electric current resemble
contour lines of pressure. The second analogy is the breaking away of attached
vortices from the recirculation pattern produced by the magnetic obstacle when
the Reynolds number , i.e. velocity of the upstream flow, is larger than a
critical value. This breaking away of vortices from the magnetic obstacle is
similar to that occurring past a real solid obstacle. Depending on the inlet
and/or initial conditions, the observed vortex shedding can be either symmetric
or asymmetric.Comment: minor changes, accepted for PoF, 26 pages, 7 figure
Theory of the Lorentz force flowmeter
A Lorentz force flowmeter is a device for the contactless measurement of flow rates in electrically conducting fluids. It is based on the measurement of a force on a magnet system that acts upon the flow. We formulate the theory of the Lorentz force flowmeter which connects the measured force to the unknown flow rate. We first apply the theory to three specific cases, namely (i) pipe flow exposed to a longitudinal magnetic field, (ii) pipe flow under the influence of a transverse magnetic field and (iii) interaction of a localized distribution of magnetic material with a uniformly moving sheet of metal. These examples provide the key scaling laws of the method and illustrate how the force depends on the shape of the velocity profile and the presence of turbulent fluctuations in the flow. Moreover, we formulate the general kinematic theory which holds for arbitrary distributions of magnetic material or electric currents and for any velocity distribution and which provides a rational framework for the prediction of the sensitivity of Lorentz force flowmeters in laboratory experiments and in industrial practice.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/58171/2/njp7_8_299.pd
Analytic solutions to determine critical magnetic fields for thermoelectric magnetohydrodynamics in alloy solidification
During alloy solidification, it has been observed that the morphology of microstructures can be altered by applying an external DC magnetic field. This structural change can be attributed to solutal convective transport introduced by thermoelectric magnetohydrodynamics (TEMHD) which drives fluid motion within the inter-dendritic region. Complex numerical models with grid resolutions on the microscopic scale have been constructed to solve the equations governing TEMHD. To complement these computationally intensive numerical models, analytic solutions were sought. Specifically, the analytic solutions presented herein are asymptotic solutions derived for TEMHD under low and high magnetic field intensities. Combination of these asymptotic solutions leads to simple formulae for estimating critical magnetic fields which can be readily evaluated in terms of characteristic lengths of materials that have been identified in experiments as key parameters of critical fields. Indeed, the critical magnetic fields predicted with the asymptotic solutions exhibit magnitudes consistent with those applied in current ongoing experiments where significant changes in microstructure have been observed. The capability to predict accurate results indicates that the analytic solutions described herein are valuable precursors not only for detailed numerical simulations but also for experimental design to study critical magnetic fields in alloy solidification
Taking stock : sustainability in engineering teaching : case of CES EduPack -- software for teaching
The paper presents the results of a survey of academics about teaching sustainable development topics in engineering, design and materials science courses, with particular emphasis on materials aspects of the problem. Over 200 responses were analysed, complemented with the outcome of a multi-national workshop on the subject, and the main findings were summarised. Key findings were the need for well-documented case studies for project-based learning, and the need for a more global perspective in teaching this topic. A recently published ‘5-step methodology’ provides a framework for individual or group student work on a diverse range of problems: from substitution of sustainable materials into products, energy-using devices, to renewable energy and storage technologies. The diversity of potential case studies, and the breadth of knowledge that could be required to address the dominant issues in a given problem, presents a particular educational challenge to help students to navigate with confidence through a meaningful analysis. The paper discusses some refinements to the new methodology that could improve its rigour, and its ease-of-use by undergraduate or graduate students.Non UBCUnreviewedFacultyOthe
Physically-based constitutive modelling of residual stress development in welding of aluminium alloy 2024
Selection of joining process for aluminium alloys
SIGLEAvailable from British Library Document Supply Centre-DSC:9106.170(CUED/C-EDC/TR-87) / BLDSC - British Library Document Supply CentreGBUnited Kingdo
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