scholarly journals Some boundary-value problems for nonlinear (N) diffusion and pseudo-plastic flow

1992 ◽  
Vol 33 (3) ◽  
pp. 255-268
Author(s):  
C. Atkinson ◽  
C. R. Champion
Keyword(s):  
Steady State ◽  
Differential Equations ◽  
Power Law ◽  
Poiseuille Flow ◽  
Exact Result ◽  
State Diffusion ◽  
Hodograph Transformation ◽  
Independent Integral ◽  
Steady State Diffusion ◽  
Parameters Of Interest

AbstractIn this article, exact and approximate techniques are used to obtain parameters of interest for two problems involving differential equations of power-law type. The first problem is related to non-linear steady-state diffusion, and is investigated by means of a hodograph transformation and an approximation using a path-independent integral. The second problem involves Poiseuille flow of a pseudo-plasticfluid, and a path-independent integral is derived which yields an exact result for the geometry under consideration.

scholarly journals Bioelectrocatalytic endpoint assays based on steady-state diffusion current at microelectrode array

2010 ◽  
Vol 12 (6) ◽  
pp. 839-842 ◽  
Author(s):  
Tatsuo Noda ◽  
Katsumi Hamamoto ◽  
Maiko Tsutsumi ◽  
Seiya Tsujimura ◽  
Osamu Shirai ◽  
...  
Keyword(s):  
Steady State ◽  
Microelectrode Array ◽  
Diffusion Current ◽  
State Diffusion ◽  
Steady State Diffusion

scholarly journals Numerical Solution of Continuation Problem for 3D Steady-State Diffusion in Cylindrically Layered Medium

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
Magira Kulbay ◽  
Saule Maussumbekova ◽  
Balgaisha Mukanova
Keyword(s):  
Steady State ◽  
Layered Medium ◽  
Outer Boundary ◽  
Cauchy Data ◽  
Piecewise Constant Function ◽  
Piecewise Constant ◽  
State Diffusion ◽  
Solution Methods ◽  
Continuation Problem ◽  
Steady State Diffusion

This work is based on the application of Fourier and quasi-solution methods for solving the continuation inverse problem for 3D steady-state diffusion model inside a cylindrical layered medium. The diffusion coefficient is supposed to be a piecewise constant function, Cauchy data are given on the outer boundary of the cylinder, and we seek to recover the temperature at the inner boundary of the cylinder. Numerical experiments are investigated and show the capacity of proposed method only for smooth boundary condition. Under the suitable choice of regularization parameters we recover the distribution of temperature on the inner boundary with satisfactory quality for noisy data.

Ion-Selective Supported Liquid Membranes Placed under Steady-State Diffusion Control

2005 ◽  
Vol 77 (23) ◽  
pp. 7801-7809 ◽  
Author(s):  
Károly Tompa ◽  
Karin Birbaum ◽  
Adam Malon ◽  
Tamás Vigassy ◽  
Eric Bakker ◽  
...  
Keyword(s):  
Steady State ◽  
Diffusion Control ◽  
Liquid Membranes ◽  
Supported Liquid Membranes ◽  
State Diffusion ◽  
Steady State Diffusion

scholarly journals Detecting proteins complex formation using steady-state diffusion in a nanochannel

2008 ◽  
Vol 394 (2) ◽  
pp. 421-425 ◽  
Author(s):  
Nicolas F. Y. Durand ◽  
Elli Saveriades ◽  
Philippe Renaud
Keyword(s):  
Steady State ◽  
Complex Formation ◽  
State Diffusion ◽  
Steady State Diffusion

scholarly journals Steady State Diffusion Processes Under Turbulent Conditions. Gallium and Aluminium Cases

1993 ◽  
Vol 138 ◽  
pp. 502-506
Author(s):  
Ján Budaj ◽  
Milan Zboril ◽  
Juraj Zverko ◽  
Jozef Žižňovský ◽  
Jozef Klačka
Keyword(s):  
Steady State ◽  
Stationary State ◽  
Diffusion Processes ◽  
State Diffusion ◽  
Effective Temperatures ◽  
Steady State Diffusion

AbstractThe stationary state of the element stratification under appropriate turbulence is investigated. Equation of the stationary state is derived and solved under several simplifications. Cases of Ga and Al are studied. Al is predicted to be underabundant, but the abundance is rising with decreasing effective temperatures of the stars. Different results obtained using two methods of finding the stationary Ga stratification are indicated.

Steady-state diffusion in a tokamak

1977 ◽  
Vol 17 (6) ◽  
pp. 1115-1122
Author(s):  
J.C.B. Papaloizou ◽  
J.A. Wesson
Keyword(s):  
Steady State ◽  
State Diffusion ◽  
Steady State Diffusion
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