scholarly journals Sensitivity and Strong Controllability of a Nonlinear Chemostat Model

2015 ◽  
Vol 49 ◽  
pp. 115-129 ◽  
Author(s):  
M. Serhani ◽  
H. Boutanfit ◽  
A. Boutoulout
Keyword(s):  
Chemostat Model ◽  
Strong Controllability

scholarly journals Investigations on the effect of different influencing factors on film cooling effectiveness under the injection of synthetic coolant

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jianlong Chang ◽  
Xinlei Duan ◽  
Yang Du ◽  
Baoquan Guo ◽  
Yutian Pan
Keyword(s):  
Film Cooling ◽  
Elliptical Hole ◽  
Synthetic Jet ◽  
Cooling Effect ◽  
Flow Structures ◽  
Cooling Effectiveness ◽  
Film Cooling Effectiveness ◽  
Cooling Flow ◽  
Cooling Method ◽  
Strong Controllability

AbstractBy combining the synthetic jet and film cooling, the incident cooling flow is specially treated to find a better film cooling method. Numerical simulations of the synthetic coolant ejected are carried out for analyzing the cooling performance in detail, under different blowing ratios, hole patterns, Strouhal numbers, and various orders of incidence for the two rows of holes. By comparing the flow structures and the cooling effect corresponding to the synthetic coolant and the steady coolant fields, it is found that within the scope of the investigations, the best cooling effect can be obtained under the incident conditions of an elliptical hole with the aspect ratio of 0.618, the blow molding ratio of 2.5, and the Strouhal number St = 0.22. Due to the strong controllability of the synthetic coolant, the synthetic coolant can be controlled through adjusting the frequency of blowing and suction, so as to change the interaction between vortex structures for improving film cooling effect in turn. As a result, the synthetic coolant ejection is more advisable in certain conditions to achieve better outcomes.

Spatial dynamics of a nonlocal delayed unstirred chemostat model with periodic input

2019 ◽  
Vol 12 (06) ◽  
pp. 1950065
Author(s):  
Wu-Jun Pu ◽  
Danhua Jiang ◽  
Ya Wang ◽  
Zhanbing Bai
Keyword(s):  
Existence And Uniqueness ◽  
Spatial Dynamics ◽  
Single Species ◽  
Uniqueness Of Solution ◽  
Uniform Persistence ◽  
Global Dynamics ◽  
Chemostat Model ◽  
Periodic Input

In this paper, a nonlocal delayed chemostat model of a single species feeding on a periodically varying input nutrient is proposed. By the theory of semigroup, the existence and uniqueness of solution of the system are obtained. Furthermore, we investigate a threshold result on the global dynamics, and the uniform persistence of the system is established.

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