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John R. Thompson - One of the best experts on this subject based on the ideXlab platform.

  • Physics students’ construction and checking of Differential Volume Elements in an unconventional spherical coordinate system
    'American Physical Society (APS)', 2019
    Co-Authors: Benjamin P. Schermerhorn, John R. Thompson
    Abstract:

    In upper-division physics courses, students’ use of Differential line, area, and Volume Elements and their facility with the various multivariable coordinate systems consistently go hand in hand. As part of an effort to investigate student understanding of the structure of non-Cartesian coordinate systems and the associated Differential Elements, we interviewed students (mostly in pairs) in junior-level electricity and magnetism courses at two universities. In a sequence of tasks, students were asked to construct a Differential length vector and a Differential Volume Element in an unconventional spherical coordinate system. None of the students were able to arrive at a correct Differential length Element initially. This work addresses the construction and checking of the Volume Element. Volume Element construction occurred by either combining associated lengths, an attempt to determine sides of a Differential cube, or mapping from the existing spherical coordinate system. Students who constructed Volume Elements from Differential length components corrected their length Element terms as a result of checking the Volume Element expression by integration. Other students who relied heavily on spherical coordinates displayed further difficulty connecting dimensionality and projection ideas to Differential construction

Benjamin P. Schermerhorn - One of the best experts on this subject based on the ideXlab platform.

  • Physics students’ construction and checking of Differential Volume Elements in an unconventional spherical coordinate system
    'American Physical Society (APS)', 2019
    Co-Authors: Benjamin P. Schermerhorn, John R. Thompson
    Abstract:

    In upper-division physics courses, students’ use of Differential line, area, and Volume Elements and their facility with the various multivariable coordinate systems consistently go hand in hand. As part of an effort to investigate student understanding of the structure of non-Cartesian coordinate systems and the associated Differential Elements, we interviewed students (mostly in pairs) in junior-level electricity and magnetism courses at two universities. In a sequence of tasks, students were asked to construct a Differential length vector and a Differential Volume Element in an unconventional spherical coordinate system. None of the students were able to arrive at a correct Differential length Element initially. This work addresses the construction and checking of the Volume Element. Volume Element construction occurred by either combining associated lengths, an attempt to determine sides of a Differential cube, or mapping from the existing spherical coordinate system. Students who constructed Volume Elements from Differential length components corrected their length Element terms as a result of checking the Volume Element expression by integration. Other students who relied heavily on spherical coordinates displayed further difficulty connecting dimensionality and projection ideas to Differential construction

Kontula J. - One of the best experts on this subject based on the ideXlab platform.

  • Estimation of 14 MeV neutron rate from triton burn-up in future W7-X deuterium plasma campaigns
    'Wiley', 2020
    Co-Authors: The W7-x Team, Äkäslompolo S., Kontula J.
    Abstract:

    | openaire: EC/H2020/633053/EU//EUROfusionFast ion confinement is of major importance for the ignition of a burning fusion plasma. In future deuterium plasma campaigns of the Wendelstein 7-X stellarator, W7-X, the amount of triton burn-up is one possible measure for fast ion confinement. A well-established technique to observe triton burn-up is the 14 MeV neutron rate. In this paper, it is estimated whether an existing scintillating fibre neutron detector is also suited to measure triton burn-up in W7-X with sufficient accuracy. An estimation is presented, which can be applied to any tokamak or stellarator design and is one-dimensional in the minor radius. The inputs are profiles of density, temperature, and Differential Volume Element as well as the triton slowing-down time. The estimation calculates the thermal deuteron fusion rate and the associated deuteron-triton fusion rate; thus, the triton burn-up generated 14 MeV neutron rate. It neither takes triton diffusion nor explicit losses into account. This thermally generated fusion rate is comparedto the neutral beam injection heating induced beam-plasma fusion rate.Peer reviewe

The W7-x Team - One of the best experts on this subject based on the ideXlab platform.

  • Estimation of 14 MeV neutron rate from triton burn-up in future W7-X deuterium plasma campaigns
    'Wiley', 2020
    Co-Authors: The W7-x Team, Äkäslompolo S., Kontula J.
    Abstract:

    | openaire: EC/H2020/633053/EU//EUROfusionFast ion confinement is of major importance for the ignition of a burning fusion plasma. In future deuterium plasma campaigns of the Wendelstein 7-X stellarator, W7-X, the amount of triton burn-up is one possible measure for fast ion confinement. A well-established technique to observe triton burn-up is the 14 MeV neutron rate. In this paper, it is estimated whether an existing scintillating fibre neutron detector is also suited to measure triton burn-up in W7-X with sufficient accuracy. An estimation is presented, which can be applied to any tokamak or stellarator design and is one-dimensional in the minor radius. The inputs are profiles of density, temperature, and Differential Volume Element as well as the triton slowing-down time. The estimation calculates the thermal deuteron fusion rate and the associated deuteron-triton fusion rate; thus, the triton burn-up generated 14 MeV neutron rate. It neither takes triton diffusion nor explicit losses into account. This thermally generated fusion rate is comparedto the neutral beam injection heating induced beam-plasma fusion rate.Peer reviewe

Äkäslompolo S. - One of the best experts on this subject based on the ideXlab platform.

  • Estimation of 14 MeV neutron rate from triton burn-up in future W7-X deuterium plasma campaigns
    'Wiley', 2020
    Co-Authors: The W7-x Team, Äkäslompolo S., Kontula J.
    Abstract:

    | openaire: EC/H2020/633053/EU//EUROfusionFast ion confinement is of major importance for the ignition of a burning fusion plasma. In future deuterium plasma campaigns of the Wendelstein 7-X stellarator, W7-X, the amount of triton burn-up is one possible measure for fast ion confinement. A well-established technique to observe triton burn-up is the 14 MeV neutron rate. In this paper, it is estimated whether an existing scintillating fibre neutron detector is also suited to measure triton burn-up in W7-X with sufficient accuracy. An estimation is presented, which can be applied to any tokamak or stellarator design and is one-dimensional in the minor radius. The inputs are profiles of density, temperature, and Differential Volume Element as well as the triton slowing-down time. The estimation calculates the thermal deuteron fusion rate and the associated deuteron-triton fusion rate; thus, the triton burn-up generated 14 MeV neutron rate. It neither takes triton diffusion nor explicit losses into account. This thermally generated fusion rate is comparedto the neutral beam injection heating induced beam-plasma fusion rate.Peer reviewe