A Time-Dependent Electrodiffusion-Convection Model for Charged Macromolecule Transport Across the Microvessel Wall and in the Interstitial Space

2009 ◽  
Vol 2 (4) ◽  
pp. 514-532 ◽  
Author(s):  
Bin Chen ◽  
Bingmei M. Fu
1989 ◽  
Vol 111 ◽  
pp. 259-259
Author(s):  
Arthur N. Cox ◽  
Sumner G. Starrfield

AbstractAfter the discovery of pulsations in white dwarfs, predictions were made that these DA and the hotter DB stars should be pulsating in radial modes with periods of a few seconds or less. The mechanisms are the normal kappa and gamma effects that periodically block the flow of radiative luminosity and the blocking effect of the frozen-in convection at the bottom of the convection zone. Blue edges of the instability strips are between 12,000K and 13,000K for the DA and between 32,000K and 33,000K for the DB variables. Extensive observations, however, have shown that these stars pulsate only in the few-hundred-second nonradial modes and not in any few-second radial modes. We have added the time dependent convection model of Cox, Brownlee, and Eilers (1966) to our pulsation analyses to further investigate the white dwarf radial modes. Since the time scale of the convection is usually short compared to the radial pulsation periods, convection is able to carry luminosity rapidly enough to nullify the kappa and gamma effects periodic radiation blocking. We find that most, and maybe all, radial pulsations for 0.6 solar mass carbon-oxygen white dwarfs with thin hydrogen or helium surface layers are stabilized for both these DA and DB classes, now finally in agreement with observations.


1993 ◽  
Vol 30 (5) ◽  
pp. 881-892 ◽  
Author(s):  
L. P. Solheim ◽  
W. R. Peltier

Numerical simulations with an anelastic, spherical, axisymmetric mantle convection model have been conducted to address the question of the radial mixing length in the general circulation of the mantle. Continuing debate centers on the question as to whether or not the 670 km seismic discontinuity (which we now understand to exist as a consequence of an endothermic phase change of mantle mineralogy from the spinel phase to a mixture of perovskite and periclase) in combination with the 400 km discontinuity (associated with the exothermic phase change from olivine to spinel) will impose a sufficient barrier to the circulation so as to induce layering. We argue herein that the mantle must currently be converting in a partially layered style but that the degree of layering is highly time dependent. Moreover, in the perhaps not too distant past the propensity to layering was greater, possibly to the extent that soon after planetary formation mantle mixing occurred in two distinct reservoirs. As the planet cooled and the Rayleigh number fell, we suggest that the circulation was transformed from the layered state to the partially layered state that obtains today.


1996 ◽  
Vol 14 (11) ◽  
pp. 1159-1169 ◽  
Author(s):  
D. W. Idenden ◽  
R. J. Moffett ◽  
S. Quegan ◽  
T. J. Fuller-Rowell

Abstract. A fully time-dependent ionospheric convection model, in which electric potentials are derived by an analytic solution of Laplace's equation, is described. This model has been developed to replace the empirically derived average convection patterns currently used routinely in the Sheffield/SEL/UCL coupled thermosphere/ionosphere/plasmasphere model (CTIP) for modelling disturbed periods. Illustrative studies of such periods indicate that, for the electric field pulsation periods imposed, long-term averages of parameters such as Joule heating and plasma density have significantly different values in a time-dependent model compared to those derived under the same mean conditions in a steady-state model. These differences are indicative of the highly non-linear nature of the processes involved.


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