Visualization of Calculation Process in Thermo-Fluid Analysis -Two Dimensional Steady State Diffusion Flame Problem -

2008 ◽  
Vol 28-1 (2) ◽  
pp. 1115-1115
Author(s):  
Masaaki OKUYAMA ◽  
Toshio TOMIMURA
Keyword(s):  
Steady State ◽  
Diffusion Flame ◽  
Two Dimensional ◽  
Fluid Analysis ◽  
State Diffusion ◽  
Calculation Process ◽  
Steady State Diffusion

Growth of microorganisms in two-dimensional steady-state diffusion gradients

1973 ◽  
Vol 19 (1) ◽  
pp. 53-58 ◽  
Author(s):  
D. E. Caldwell ◽  
P. Hirsch
Keyword(s):  
Steady State ◽  
Gradient System ◽  
Two Dimensional ◽  
Concentration Gradients ◽  
Differential Growth ◽  
Waste Products ◽  
State Diffusion ◽  
Test Organisms ◽  
Rhodomicrobium Vannielii ◽  
Steady State Diffusion

A two-dimensional, steady-state diffusion system has been devised for growth of microorganisms in nutrient concentration gradients. Two reservoirs continually supply substrates, while unused substrates and waste products are washed into a third reservoir. Substrates are supplied in the form of a steady-state gradient within an agar sheet which contains the test organisms. Microbial populations can thus be exposed to all values and combinations of two test variables. The system was tested with Escherichia coli grown in glucose and bicarbonate gradients. Hyphomicrobium sp., Rhodomicrobium vannielii, and Thiopedia sp. in a mixed population were segregated by use of a gradient system of methylamine and sodium sulfide. Exposure of natural aquatic populations to a gradient of pond mud and acetate resulted in differential growth of Bacillus sp. and rod-shaped bacteria with terminal endospores. Thus the potential value of gradients in predicting the response of natural microbial communities to nutrients or toxicants and in enriching for specific organisms has been demonstrated qualitatively.

Hedge's Ultimate Numerical Technique (HUNT) for Steady State Diffusion Problem

2007 ◽  
Vol 2 (3) ◽  
Author(s):  
Ganesh S Hegde ◽  
Madhu Gattumane
Keyword(s):  
Heat Transfer ◽  
Steady State ◽  
Numerical Technique ◽  
Taylor Series Expansion ◽  
Diffusion Problem ◽  
Two Dimensional ◽  
One Dimensional ◽  
Partial Derivatives ◽  
State Diffusion ◽  
Steady State Diffusion

A more realistic numerical technique hereafter known as Hegde's Ultimate Numerical Technique (HUNT) is developed and demonstrated on a one dimensional and a two dimensional steady state diffusion problem of heat transfer. The available numerical methods developed are based on finite difference technique neglecting the contribution of higher order terms in Taylor series expansion of the function leading to an approximation and the error in the solution. In the present effort of the HUNT, the optimization of the partial derivatives leads to the elimination of the error and justifies the stability and the convergence of the solution. The HUNT procedure based on the interface theory developed by the author, is capable of providing the ultimate optimum solution to all the partial derivatives considered as decision vectors. Even though the HUNT is demonstrated on one dimensional and two dimensional steady state diffusion equations, it does not require rigorous efforts to apply it to three dimensional problems of fluid flow and heat transfer. As pilot exercises the HUNT is demonstrated on a one dimensional circular fin and a two dimensional plate to obtain the temperature distribution. The result is compared with the analytical method and the finite volume method for which the results are available in the literature. To the knowledge of the authors, HUNT is both different and a unique example of its kind.

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
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