An Algorithm for the Solution of Impurity Diffusion under Finite Reaction Rates

1982 ◽  
Vol 37 (8) ◽  
pp. 931-938 ◽  
Author(s):  
K. Lackner ◽  
K. Behringer ◽  
W. Engelhardt ◽  
R. Wunderlich
Keyword(s):  
Stability Analysis ◽  
Reaction Rates ◽  
Computational Effort ◽  
Unconditional Stability ◽  
Impurity Diffusion ◽  
Time Dependent ◽  
Recombination Rates ◽  
Fast Solution ◽  
Analytic Stability ◽  
Diffusion Problems

An algorithm allowing a fast solution of stationary and time dependent 1-d diffusion problems for the case of finite ionization and recombination rates is presented. Results of numerical computations and an analytic stability analysis show its unconditional stability. The computational effort involved rises only linearly with the number of ionization stages included. An application to the diffusion of oxygen and iron impurities in JET is described

Development of time-dependent reaction rates to optimise predictor–corrector algorithm in ALEPH burn-up code

2013 ◽  
Vol 62 ◽  
pp. 307-315 ◽  
Author(s):  
L. Fiorito ◽  
A. Stankovskiy ◽  
G. Van den Eynde ◽  
P.E. Labeau
Keyword(s):  
Reaction Rates ◽  
Time Dependent ◽  
Predictor Corrector

Simulation of time-dependent radiative heat motion over a stretching/shrinking sheet of hybrid Nanofluid: Stability analysis for dual solutions

2022 ◽  
pp. 239779142110690
Author(s):  
Seema Tinker ◽  
SR Mishra ◽  
PK Pattnaik ◽  
Ram Prakash Sharma
Keyword(s):  
Heat Transfer ◽  
Stability Analysis ◽  
Dual Solutions ◽  
The Other ◽  
Time Dependent ◽  
Shrinking Sheet ◽  
Hybrid Nanofluid ◽  
Heat Transfer Characteristics ◽  
Suction Parameter ◽  
Transfer Characteristics

The heat transfer characteristics for the flow of a time-dependent hybrid nanofluid with thermal radiation and source/sink over a stretching/shrinking sheet are examined in the current investigation. We have transformed the governing equations of the presented study into the similarity equations utilizing similarity variables. However, a numerical solution is obtained by using in-build MATLAB code bvp5c. The mass and energy profiles for diverse values of thermophysical parameters are studied together with their physical quantities. It is observed that dual solutions exist, that is, one is upper, and the other is lower branch solution for a definite choice of the unsteadiness parameter. Also, stability analysis is executed to determine the long-term stability of dual solutions, indicating that out of the two, only one is stable and the other is unstable. It is revealed that comparatively, the first solution shows stability, while the second solution shows instability. There is a considerable influence of second-order slip on the problem’s respective flow and heat transfer characteristics. Further, major outcomes also show the dimensionless frictional stress and the magnitude of conventional heat transfer enhancement with growing suction parameter values.

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