On the characteristic length scale for correlating melting heat transfer data

AbstractIt has been repeatedly assumed that Heinz Lettau found the Obukhov length in 1949 independently of Obukhov in 1946. However, it was not the characteristic length scale, the Obukhov length L, but the ratio of height and the Obukhov length (z/L), the Obukhov stability parameter, that he analyzed. Whether Lettau described the parameter z/L independently of Obukhov is investigated herein. Regardless of speculation about this, the significant contributions made by Lettau in the application of z/L merit this term being called the Obukhov–Lettau stability parameter in the future.

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A characteristic length scale causes anomalous size effects and boundary programmability in mechanical metamaterials

Nature Physics ◽

10.1038/nphys4269 ◽

2017 ◽

Vol 14 (1) ◽

pp. 40-44 ◽

Cited By ~ 50

Author(s):

Corentin Coulais ◽

Chris Kettenis ◽

Martin van Hecke

Keyword(s):

Size Effects ◽

Characteristic Length ◽

Length Scale ◽

Characteristic Length Scale ◽

Mechanical Metamaterials

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Melting heat transfer on MHD convective flow of a nanofluid over a stretching sheet with viscous dissipation and second order slip

Journal of the Taiwan Institute of Chemical Engineers ◽

10.1016/j.jtice.2015.05.020 ◽

2015 ◽

Vol 57 ◽

pp. 62-68 ◽

Cited By ~ 41

Author(s):

Fazle Mabood ◽

Antonio Mastroberardino

Keyword(s):

Heat Transfer ◽

Viscous Dissipation ◽

Convective Flow ◽

Stretching Sheet ◽

Second Order ◽

Melting Heat ◽

Melting Heat Transfer

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CuO–Water Nanofluid Magnetohydrodynamic Natural Convection inside a Sinusoidal Annulus in Presence of Melting Heat Transfer

Mathematical Problems in Engineering ◽

10.1155/2017/5830279 ◽

2017 ◽

Vol 2017 ◽

pp. 1-9 ◽

Cited By ~ 11

Author(s):

M. Sheikholeslami ◽

R. Ellahi ◽

C. Fetecau

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Natural Convection ◽

Hartmann Number ◽

Volume Fraction ◽

Melting Heat ◽

Melting Heat Transfer ◽

Limiting Case ◽

Good Agreement ◽

Melting Parameter

Impact of nanofluid natural convection due to magnetic field in existence of melting heat transfer is simulated using CVFEM in this research. KKL model is taken into account to obtain properties of CuO–H2O nanofluid. Roles of melting parameter (δ), CuO–H2O volume fraction (ϕ), Hartmann number (Ha), and Rayleigh (Ra) number are depicted in outputs. Results depict that temperature gradient improves with rise of Rayleigh number and melting parameter. Nusselt number detracts with rise of Ha. At the end, a comparison as a limiting case of the considered problem with the existing studies is made and found in good agreement.

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