scholarly journals Regional Flow and Vertical Heat Transport in Groundwater. Numerical Solution for the Study of Temperature Profiles

2020 ◽  
Author(s):  
Iván Alhama ◽  
Gonzalo García-Ros ◽  
José Antonio Jiménez-Valera
Keyword(s):  
Numerical Solution ◽  
Heat Transport ◽  
Temperature Profiles ◽  
Regional Flow ◽  
Vertical Heat

scholarly journals Vertical heat transport in eddying ocean models

2008 ◽  
Vol 35 (23) ◽  
Author(s):  
C. L. Wolfe ◽  
P. Cessi ◽  
J. L. McClean ◽  
M. E. Maltrud
Keyword(s):  
Heat Transport ◽  
Vertical Heat ◽  
Ocean Models

A bound on the vertical transport of heat in the ‘ultimate’ state of slippery convection at large Prandtl numbers

2013 ◽  
Vol 729 ◽  
pp. 103-122 ◽  
Author(s):  
Xiaoming Wang ◽  
Jared P. Whitehead
Keyword(s):  
Quadratic Form ◽  
Boundary Conditions ◽  
Heat Transport ◽  
Upper Bound ◽  
Vertical Transport ◽  
Three Dimensions ◽  
Free Boundaries ◽  
Ultimate State ◽  
Vertical Heat ◽  
Prandtl Numbers

AbstractAn upper bound on the rate of vertical heat transport is established in three dimensions for stress-free velocity boundary conditions on horizontally periodic plates. A variation of the background method is implemented that allows negative values of the quadratic form to yield ‘small’ ($O\left(1/ \mathit{Pr}\right)$) corrections to the subsequent bound. For large (but finite) Prandtl numbers this bound is an improvement over the ‘ultimate’$R{a}^{1/ 2} $scaling and, in the limit of infinite$Pr$, agrees with the bound of$R{a}^{5/ 12} $recently derived in that limit for stress-free boundaries.

scholarly journals Vertical Redistribution of Oceanic Heat Content

2015 ◽  
Vol 28 (9) ◽  
pp. 3821-3833 ◽  
Author(s):  
Xinfeng Liang ◽  
Carl Wunsch ◽  
Patrick Heimbach ◽  
Gael Forget
Keyword(s):  
Heat Flux ◽  
Heat Exchange ◽  
Heat Transport ◽  
Heat Content ◽  
Deep Ocean ◽  
Temporal Variations ◽  
Near Surface ◽  
Carbon 14 ◽  
Vertical Heat ◽  
Vertical Heat Flux

Abstract Estimated values of recent oceanic heat uptake are on the order of a few tenths of a W m−2, and are a very small residual of air–sea exchanges, with annual average regional magnitudes of hundreds of W m−2. Using a dynamically consistent state estimate, the redistribution of heat within the ocean is calculated over a 20-yr period. The 20-yr mean vertical heat flux shows strong variations in both the lateral and vertical directions, consistent with the ocean being a dynamically active and spatially complex heat exchanger. Between mixing and advection, the two processes determining the vertical heat transport in the deep ocean, advection plays a more important role in setting the spatial patterns of vertical heat exchange and its temporal variations. The global integral of vertical heat flux shows an upward heat transport in the deep ocean, suggesting a cooling trend in the deep ocean. These results support an inference that the near-surface thermal properties of the ocean are a consequence, at least in part, of internal redistributions of heat, some of which must reflect water that has undergone long trajectories since last exposure to the atmosphere. The small residual heat exchange with the atmosphere today is unlikely to represent the interaction with an ocean that was in thermal equilibrium at the start of global warming. An analogy is drawn with carbon-14 “reservoir ages,” which range from over hundreds to a thousand years.

scholarly journals Memory and nonlocal effects of heat transport in a spherical nanoparticle

2021 ◽  
Vol 2116 (1) ◽  
pp. 012055
Author(s):  
Francesc Font
Keyword(s):  
Heat Flux ◽  
Heat Transport ◽  
Energy Equation ◽  
Hydrodynamic Equation ◽  
Radial Component ◽  
Radial Symmetry ◽  
Temperature Profiles ◽  
Governing Equations ◽  
Nonlocal Effects ◽  
Classical Energy

Abstract In this paper a mathematical model describing the heat transport in a spherical nanoparticle subject to Newton heating at its surface is presented. The governing equations involve a phonon hydrodynamic equation for the heat flux and the classical energy equation that relates the heat flux and the temperature. Assuming radial symmetry the model is reduced to two partial differential equation, one for the radial component of the flux and one for the temperature. We solve the model numerically by means of finite differences. The resulting temperature profiles show characteristic wave-like behaviour consistent with the non Fourier components in the hydrodynamic equation.

Numerical Solution of Transient Heat Transport Through Helium II

1983 ◽  
Vol 6 (3) ◽  
pp. 317-335
Author(s):  
Dominique Gentile ◽  
Jaroslaw Pakleza
Keyword(s):  
Numerical Solution ◽  
Heat Transport ◽  
Helium Ii

NUMERICAL SOLUTION OF TRANSIENT HEAT TRANSPORT THROUGH HELIUM II

1983 ◽  
Vol 6 (3) ◽  
pp. 317-335 ◽  
Author(s):  
Dominique Gentile ◽  
Jaroslaw Pakleza
Keyword(s):  
Numerical Solution ◽  
Heat Transport ◽  
Helium Ii

scholarly journals Estimating ocean heat transports and submarine melt rates in Sermilik Fjord, Greenland, using lowered acoustic Doppler current profiler (LADCP) velocity profiles

2012 ◽  
Vol 53 (60) ◽  
pp. 50-58 ◽  
Author(s):  
David A. Sutherland ◽  
Fiammetta Straneo
Keyword(s):  
Heat Transport ◽  
Acoustic Doppler Current Profiler ◽  
Dominant Mode ◽  
Temperature Profiles ◽  
Ocean Heat Transport ◽  
Residual Circulation ◽  
Glacier System ◽  
Significant Term ◽  
Direct Measurements ◽  
Current Profiler

AbstractSubmarine melting at the ice–ocean interface is a significant term in the mass balance of marine-terminating outlet glaciers. However, obtaining direct measurements of the submarine melt rate, or the ocean heat transport towards the glacier that drives this melting, has been difficult due to the scarcity of observations, as well as the complexity of oceanic flows. Here we present a method that uses synoptic velocity and temperature profiles, but accounts for the dominant mode of velocity variability, to obtain representative heat transport estimates. We apply this method to the Sermilik Fjord–Helheim Glacier system in southeastern Greenland. Using lowered acoustic Doppler current profiler (LADCP) and hydrographic data collected in summer 2009, we find a mean heat transport towards the glacier of 29 × 109W, implying a submarine melt rate at the glacier face of 650 ma–1. The resulting adjusted velocity profile is indicative of a multilayer residual circulation, where the meltwater mixture flows out of the fjord at the surface and at the stratification maximum.

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