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Stefan equation

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Journal Article
Published: 11 July 2007
Canadian Journal of Earth Sciences (2007) 44 (6): 733–743.
... and management purposes, the long-term probability distribution of active layer thickness is of primary interest. A robust method is presented to calculate maximum active layer thickness, employing the Stefan equation to compute phase change of moisture in soils and using air temperature as the sole climatic...
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First thumbnail for: Climate warming and active layer thaw in the borea...
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Third thumbnail for: Climate warming and active layer thaw in the borea...
Journal Article
Published: 01 August 1990
Canadian Journal of Earth Sciences (1990) 27 (8): 1115–1125.
... by an active layer whose thermal properties varied seasonally. Pingo growth, as determined from the growth of bands, shows good agreement with Stefan's equation where growth varied as the square root of time. Geochemical profiles show no systematic change with depth. Stable-isotope profiles for δ 18 O and δD...
Journal Article
Published: 01 January 2014
Vadose Zone Journal (2014) 13 (1): vzj2012.0179.
...Chiu-Shia Fen Abstract This study calibrated a gas transport model that uses multicomponent approaches, i.e., the dusty gas model (DGM) and Stefan–Maxwell (SM) equations, to soil gas concentration depth profiles to determine aerobic biodegradation rates of hydrocarbons in unsaturated soils. I found...
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First thumbnail for: Assessing Vadose Zone Biodegradation by a Multicom...
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Published: 01 January 2014
Table 1. Flux expressions and equations for the multicomponent model. Parameter Expression/equation † Total diffusive flux  Dusty gas model equationsStefan–Maxwell model equations Viscous flux Knudsen diffusion coefficient ( Thorstenson and Pollock, 1989
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Published: 01 January 2014
Table 1. Flux expressions and equations for the multicomponent model. Parameter Expression/equation † Total diffusive flux  Dusty gas model equationsStefan–Maxwell model equations Viscous flux Knudsen diffusion coefficient ( Thorstenson and Pollock, 1989
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Published: 01 January 2014
Table 1. Flux expressions and equations for the multicomponent model. Parameter Expression/equation † Total diffusive flux  Dusty gas model equationsStefan–Maxwell model equations Viscous flux Knudsen diffusion coefficient ( Thorstenson and Pollock, 1989
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Published: 01 January 2014
Table 1. Flux expressions and equations for the multicomponent model. Parameter Expression/equation † Total diffusive flux  Dusty gas model equationsStefan–Maxwell model equations Viscous flux Knudsen diffusion coefficient ( Thorstenson and Pollock, 1989
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Published: 01 January 2014
Table 1. Flux expressions and equations for the multicomponent model. Parameter Expression/equation † Total diffusive flux  Dusty gas model equationsStefan–Maxwell model equations Viscous flux Knudsen diffusion coefficient ( Thorstenson and Pollock, 1989
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Published: 01 January 2014
Table 1. Flux expressions and equations for the multicomponent model. Parameter Expression/equation † Total diffusive flux  Dusty gas model equationsStefan–Maxwell model equations Viscous flux Knudsen diffusion coefficient ( Thorstenson and Pollock, 1989
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SST estimates from 25 sites with core top material of G. sacculifer (dataset of Stefan Mulitza, University of Bremen, in the Pangaea database: http://www.pangaea.de/home/smulitza/). Estimates are typically 0–3 °C cooler than actual SSTs, though the discrepancy is greater in tropical regions. SST estimates use the equation of Zachos, Stott & Lohmann (1994) for the calculation of δ18Osw. The data indicate that processes causing cooler estimates of SST take place early (pre-fossil), and probably include calcite formed near the base of, or below the ocean mixed-layer during the life of the foraminifera, mixing of assemblages from cool and warm climatic intervals by bioturbation, and selective dissolution of foraminifer tests (see Mulitza et al. 2004).
Published: 01 July 2005
Figure 9. SST estimates from 25 sites with core top material of G. sacculifer (dataset of Stefan Mulitza, University of Bremen, in the Pangaea database: http://www.pangaea.de/home/smulitza/ ). Estimates are typically 0–3 °C cooler than actual SSTs, though the discrepancy is greater
Journal Article
Published: 01 June 2016
Vadose Zone Journal (2016) 15 (6): vzj2016.01.0010.
... capacity, and no heat advection. However, the simplicity of the Stefan equation facilitates modifications to relax the limiting assumptions, and recent studies have demonstrated how the equation can be modified to accommodate temporally variable soil moisture conditions ( Hayashi et al., 2007 ), spatially...
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First thumbnail for: Hydrologic Impacts of Thawing Permafrost—A Review
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Journal Article
Journal: Geophysics
Published: 01 January 2005
Geophysics (2005) 70 (6): Z101–Z113.
..., Weihong 2 U9 McMechan, George A., see Lu, Shaoming 5 O29 Mienert, Jürgen, see Bünz, Stefan 5 B19 Migration with arbitrarily wide-angle wave equations, Murthy N. Guddati and A. Homayoun Heidari 3 S61 Mihálffy, Péter, see Lenkey, László 4 H11 Miller, Richard D., see Xia, Jianghai 4...
Journal Article
Journal: Geology
Published: 01 July 2001
Geology (2001) 29 (7): 655–658.
.... The dynamic pressure at the head, backward flow, and displacement of the ambient fluid are also ignored in these models. Farrell and Stefan (1988) simulated the plunging of a river into a reservoir due to temperature- induced density difference. They formulated the governing equations in a cylindrical polar...
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First thumbnail for: Simulation of turbid underflows generated by the p...
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Journal Article
Journal: Geology
Published: 01 December 2003
Geology (2003) 31 (12): 1049–1052.
... calibrated for the past 100 k.y., providing the basis for an age equation with a realistic age uncertainty of ∼±20%. The new age equation can be applied to other hypolimnic settings because the temperature below the thermocline of deep lakes from middle- and high-latitude regions can reasonably be assumed...
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First thumbnail for: Dating deep-lake sediments by using amino acid rac...
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Journal Article
Published: 01 January 2007
Journal of Sedimentary Research (2007) 77 (1): 13–22.
... are obtained from boundary conditions 52 and 53, yielding Finally, the Stefan condition 54 leads to the following transcendental equation for the scaling constant λ: The equation involves two independent control parameters, α = R / S and β = μ/ S , which respectively normalize the foreset slope R...
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First thumbnail for: Self-Similar Evolution of Semi-Infinite Alluvial C...
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Journal Article
Published: 01 November 2003
Vadose Zone Journal (2003) 2 (4): 655–663.
... demonstrate clearly that the Stokes equation is not adequate for evaluating mean velocity of constituents in a solution subject to density or thermal gradients. Recent authors have presented more general equations, based on the Stefan-Maxwell equations for evaluating mean velocity that involve less stringent...
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First thumbnail for: Transport by Advection and Diffusion Revisited
Second thumbnail for: Transport by Advection and Diffusion Revisited
Journal Article
Published: 01 January 2013
Seismological Research Letters (2013) 84 (1): 110–111.
... Babaie Mahani Ground‐Motion Prediction Equations for The Geysers Geothermal Area Based on Induced Seismicity Records Nitin Sharma, Vincenzo Convertito, Nils Maercklin, and Aldo Zollo Ground‐Motion Simulation and Validation of the 2008 Chino Hills, California, Earthquake Ricardo Taborda...
Journal Article
Published: 01 June 2006
Environmental Geosciences (2006) 13 (2): 67–70.
...Stefan Bachu; Matthias Grobe Copyright ©2006. The American Association of Petroleum Geologists/Division of Environmental Geosciences. All rights reserved. 2006 Interpretation of the temperature record on a scale of centuries to millennia indicates a slight increase in global average...
Journal Article
Journal: Geophysics
Published: 01 January 2009
Geophysics (2009) 74 (4): Y7.
...Beatriz Quintal; Stefan M. Schmalholz; Yuri Y. Podladchikov Society of Exploration Geophysicists 2009 Equation 28 is missing exponent 2 in the denominator. We apologize for any inconvenience caused by this error. The equation should be written: g 1 + g 2 ≈ q = ( K m...
Journal Article
Journal: GSA Bulletin
Published: 01 September 2010
GSA Bulletin (2010) 122 (9-10): 1389–1400.
... the flow does not have the necessary depth to plunge ( x s < x < x p , where x p is the location of the plunge point) ( Akiyama and Stefan, 1984 ). And the plunging plume is a zone of collapse and acceleration of an underflow ( x p < x < x d , where x d is the downstream...
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First thumbnail for: Linking river-flood dynamics to hyperpycnal-plume ...
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Third thumbnail for: Linking river-flood dynamics to hyperpycnal-plume ...