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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 67 (1990), S. 3990-3998 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this paper a two-dimensional model of fluid and heat flow in weld pools is considered and a solution methodology is presented that is based on a perturbation expansion with the Prandtl number as a small parameter. This allowed us to determine the temperature field efficiently and by using it to determine the location of the phase front to map the molten region into a semicircular region in which the Boussinesq form of the Navier–Stokes equations were solved. Doing so allows the domain to be represented with a much smoother phase boundary than is usual in phase change problems. The flow in the weld pool made with a moving laser shows vigorous convection on the solidification side of the weld pool and crowding of the isotherms on the melting side.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 33-42 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The stability of laminar natural convection in a shallow cavity has been studied theoretically. The flow is driven by a horizontal temperature gradient between isothermal vertical sidewalls of the cavity, the top and bottom of which are insulated. It was found that for a Prandtl number (Pr) less than 0.033, shear instability causes stationary transverse cells to be formed in the flow. For larger values of Prandtl number the instability sets in as oscillating longitudinal rolls in the range 0.033〈Pr〈0.2; and as stationary longitudinal rolls for larger values of Pr. The importance of three-dimensional disturbances was investigated for Pr=0.02 and they were found to be less critical than two-dimensional ones. Finite amplitude motions of the stationary transverse cells were simulated by solving the nonlinear equations numerically with the use of pseudospectral methods. This simulation supports the calculations of the onset of the instability by linear theory, and explains why the Nusselt number decreases when secondary flows are present.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 947-953 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Longitudinal roll structure of convection in a shallow cavity heated from a side has been calculated by using pseudospectral approximations. A transient calculation of the oscillatory flow, which appears as a result of an instability of the base flow for low Prandtl number fluids, is seen to be caused by the interaction of two oppositely traveling waves. Finite-amplitude motions break the even symmetry of the streamlines and isotherms, but retain their shift-reflect symmetry. The energy transfer mechanisms are discussed.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Zeitschrift für angewandte Mathematik und Physik 36 (1985), S. 624-628 
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Die adiabatische Oberflächentemperatur (recovery factor) für ein Fluid mit hoher Prandtl-Zahl wurde für laminare Strömung über eine ebene Platte mit Hilfe einer asymptotischen Entwicklung bestimmt. Der Ausdruck unterschätzt das genaue Resultat um weniger als 1 % für Prandtl-Zahlen höher als 7.
    Notes: Summary An asymptotic expansion for large Prandtl number fluids has been obtained for the recovery factor in a laminar flow over flat plate. The expression underestimates the recovery factor by no more than 1% as long as the Prandtl number is greater than seven.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Flow, turbulence and combustion 39 (1982), S. 301-319 
    ISSN: 1573-1987
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Numerical solutions to convection of a fluid which is heated, and to which salt is introduced from the bottom, have been obtained. Although different in boundary conditions from the conditions in the study of Huppert and Moore, qualitatively the flow investigated here has many features the same as theirs. The differences are discussed and solutions are given for two fluids whose Prandtl numbers are 1 and 7 and ratio of molecular and thermal diffusivities is 0.1. The fields of temperature and salinity, and the stream patterns are shown in contour plots. The saline and thermal Nusselt numbers are given as functions of the thermal Rayleigh number.
    Type of Medium: Electronic Resource
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