Analytical solution for compositional profile driven by gravitational segregation and diffusion

2017 ◽  
Vol 95 (2) ◽  
Author(s):  
O. Obidi ◽  
A. H. Muggeridge ◽  
V. Vesovic
Keyword(s):  
Analytical Solution ◽  
Compositional Profile ◽  
And Diffusion ◽  
Gravitational Segregation

Modeling of Tau Protein Transport in Axons

2013 ◽  
Author(s):  
Ivan A. Kuznetsov ◽  
Andrey V. Kuznetsov
Keyword(s):  
Analytical Solution ◽  
Axonal Transport ◽  
Tau Protein ◽  
Protein Transport ◽  
State Model ◽  
Tau Proteins ◽  
Transition Rates ◽  
Slow Axonal Transport ◽  
Transport Velocity ◽  
And Diffusion

This paper develops a simplified analytical solution for the slow axonal transport of tau proteins. A six kinetic state model developed in Jung and Brown [1] was used to simulate transport of tau. The model was extended by accounting for tau degradation and diffusion in the off-track kinetic states. The analytical solution was obtained by assuming that transitions between anterograde and retrograde states are infrequent. This assumption was validated through an analysis of the sensitivity of the solution to changes in the values of the two kinetic constants that describe the transition rates between the anterograde and retrograde states, and by a comparison with the experimentally measured tau distributions reported in Konzack et al. [2]. The predicted average transport velocity of tau was also in the experimentally reported range.

scholarly journals Analytical and Numerical Study of Soret and Dufour Effects on Thermosolutal Convection in a Horizontal Brinkman Porous Layer with a Stress-Free Upper Boundary

2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Ismail Filahi ◽  
Mohamed Bourich ◽  
Mohammed Hasnaoui ◽  
Abdelkhalek Amahmid
Keyword(s):  
Mass Transfer ◽  
Analytical Solution ◽  
Heat And Mass Transfer ◽  
Porous Layer ◽  
Parallel Flow ◽  
Thermosolutal Convection ◽  
Flow Intensity ◽  
And Diffusion ◽  
Buoyancy Ratio ◽  
Upper Boundary

In this paper, thermo-diffusion (Soret effect) and diffusion-thermo (Dufour effect) effects on double-diffusive natural convection induced in a horizontal Brinkman porous layer with a stress-free upper boundary are investigated. The cavity is filled with a binary fluid and subjected to uniform fluxes of heat and mass on its long sides. An analytical solution based on the parallel flow approximation is developed for the problem considered in order to allow prompt determination of the thresholds of stationary and finite amplitude solutions and also heat and mass transfer characteristics. The analytical solution is validated numerically by using a finite difference method. The combined effects of the Soret and Dufour parameters, the thermal Rayleigh number, the buoyancy ratio, and the Darcy number on the flow intensity and heat and mass transfer are illustrated graphically, and some particular behaviors observed are discussed. The analytical solution proves the existence of different regions in the buoyancy ratio-Dufour parameter plane, corresponding to different parallel flow behaviors. The number, the location, and the extent of these regions, which are impossible to predict numerically, depend strongly on Soret and Dufour parameters. The effect of thermo-diffusion and diffusion-thermo on flow intensity and heat and mass transfer is found to be important.

An Analytical Solution for Exciton Generation, Reaction, and Diffusion in Nanotube and Nanowire-Based Solar Cells

2016 ◽  
Vol 7 (14) ◽  
pp. 2683-2688 ◽  
Author(s):  
Darin O. Bellisario ◽  
Joel A. Paulson ◽  
Richard D. Braatz ◽  
Michael S. Strano
Keyword(s):  
Solar Cells ◽  
Analytical Solution ◽  
And Diffusion ◽  
Reaction And Diffusion

scholarly journals An Analytical Solution for Effect of Magnetic Field and Initial Stress on an Infinite Generalized Thermoelastic Rotating Nonhomogeneous Diffusion Medium

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
S. R. Mahmoud
Keyword(s):  
Magnetic Field ◽  
Relaxation Time ◽  
Analytical Solution ◽  
Boundary Conditions ◽  
Initial Stress ◽  
Chemical Potential ◽  
Thermoelastic Diffusion ◽  
Generalized Thermoelastic ◽  
Analytical Expressions ◽  
And Diffusion

The problem of generalized magneto-thermoelastic diffusion in an infinite rotating nonhomogeneity medium subjected to certain boundary conditions is studied. The chemical potential is also assumed to be a known function of time at the boundary of the cavity. The analytical expressions for the displacements, stresses, temperature, concentration, and chemical potential are obtained. Comparison was made between the results obtained in the presence and absence of diffusion. The results indicate that the effect of nonhomogeneity, rotation, magnetic field, relaxation time, and diffusion is very pronounced.

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