Modal Estimates and Stability Analysis of a Heat Exchanger Application. - A Laplace Transform Approach -

1996 ◽  
Author(s):  
P. Ligarius ◽  
Nordine Mouhab ◽  
L. Estel
Keyword(s):  
Stability Analysis ◽  
Heat Exchanger ◽  
Laplace Transform

scholarly journals Stability analysis of linear conformable fractional differential equations system with time delays

2019 ◽  
Vol 38 (6) ◽  
pp. 159-171 ◽  
Author(s):  
Vahid Mohammadnezhad ◽  
Mostafa Eslami ◽  
Hadi Rezazadeh
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Differential Equations ◽  
Laplace Transform ◽  
Fractional Differential Equations ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Euler’S Method ◽  
Fractional Differential ◽  
Theoretical Results

In this paper, we first study stability analysis of linear conformable fractional differential equations system with time delays. Some sufficient conditions on the asymptotic stability for these systems are proposed by using properties of the fractional Laplace transform and fractional version of final value theorem. Then, we employ conformable Euler’s method to solve conformable fractional differential equations system with time delays to illustrate the effectiveness of our theoretical results

Finite Element Analysis for the Stiffness and the Buckling of Corrugated Tubes in Heat Exchanger

2012 ◽  
Vol 468-471 ◽  
pp. 1675-1680 ◽  
Author(s):  
Xiao Jing Wang ◽  
Zhi Min Wang ◽  
Nian Wang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stability Analysis ◽  
Heat Exchanger ◽  
Heat Exchangers ◽  
External Pressure ◽  
Element Analysis ◽  
Value Analysis ◽  
Compressive Pressure ◽  
The Stability

Corrugated tubes in a heat exchanger are analyzed by using the FEA methods. And the formula how to compute single wave’s rigidity is obtained. Besides, methods of analyzing the stability of corrugated tubes under internal compressive pressure and external pressure are proposed which include characteristic value analysis and non-linear stability analysis, thus providing theory basis for the stability research of heat exchangers.

Stability Analysis and Optimization of By-Pass Controlled Heat Exchanger With Boiling

1976 ◽  
Vol 98 (2) ◽  
pp. 161-166 ◽  
Author(s):  
J. S. Ansari
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Stability Analysis ◽  
Heat Exchanger ◽  
Flow Rate ◽  
Distributed Parameter ◽  
Final Temperature ◽  
Razumikhin Theorem ◽  
Sustained Oscillations ◽  
Intermediate Variables

A heat exchanger with boiling is considered. The final temperature of steam is controlled with the help of a controller which regulates the flow rate of by-pass water mixing with the outcoming steam. The simplest known mathematical model retaining the nonlinear and distributed parameter nature of the process is adopted. A known method of analysis, namely, Liapunov-Razumikhin theorem, is used to derive results on stability. An interesting feature of the system is that a positive feedback is required for stability. If the control is designed on the basis of minimization of the error in the final temperature alone, then the optimal control, requiring a negative feeedback, leads to sustained oscillations in the intermediate variables, even when the output is steady. The analysis, therefore suggests that meaningful optimization must take into account fluctuations in intermediate variables in addition to the error. A derivative control is shown to improve the transient response.

Stability Analysis of a Reduced Heat Exchanger Model

PAMM ◽  
2005 ◽  
Vol 5 (1) ◽  
pp. 805-806
Author(s):  
Michael Hanke ◽  
K. Henrik A. Olsson ◽  
Magnus Strömgren
Keyword(s):  
Stability Analysis ◽  
Heat Exchanger

Effect of the Thermal Capacitance of Contained Fluid on Performance of Symmetric Regenerators

1987 ◽  
Vol 109 (3) ◽  
pp. 563-568 ◽  
Author(s):  
F. E. Romie
Keyword(s):  
Heat Exchanger ◽  
Laplace Transform ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Regenerative Heat ◽  
Regenerative Heat Exchanger ◽  
Thermal Capacitance ◽  
The Laplace Transform ◽  
System Equations ◽  
Usual Case

The operation of the symmetric counterflow regenerative heat exchanger is described for conditions under which the thermal capacitance of the contained fluid cannot, as is the usual case, be set equal to zero. The solution of the system equations is found by use of the Laplace transform method. The thermal effectiveness is presented for a range of parameters believed to cover most applications of the symmetric regenerator.

Stability analysis of heat exchanger dynamics

2009 ◽  
Author(s):  
Tiejun Zhang ◽  
John T. Wen ◽  
Juan Catano ◽  
Rongliang Zhou
Keyword(s):  
Stability Analysis ◽  
Heat Exchanger

Stability analysis of a degenerate hyperbolic system modelling a heat exchanger

2007 ◽  
Vol 74 (1) ◽  
pp. 8-19 ◽  
Author(s):  
Michael Hanke ◽  
K. Henrik ◽  
A. Olsson ◽  
Magnus Strömgren
Keyword(s):  
Stability Analysis ◽  
Heat Exchanger ◽  
Hyperbolic System ◽  
System Modelling

scholarly journals Stability Analysis of Uncertain Temperature control system with two additive delays and nonlinear perturbation

2017 ◽  
Vol 13 (10) ◽  
pp. 5927-5934
Author(s):  
Venkatachalam Veeraragavan ◽  
Prabhakaran Duraisamy ◽  
Thirumarimurugan Murugan ◽  
Ramakrishnan Krishnan
Keyword(s):  
Stability Analysis ◽  
Heat Exchanger ◽  
Temperature Control ◽  
Stability Criterion ◽  
Time Derivative ◽  
Temperature Control System ◽  
State Delays ◽  
Delay Dependent ◽  
Time Invariant ◽  
Delay Dependent Stability

In this paper, the problem of robust delay-dependent stability criterion is considered for a class of linear continuous time heat exchanger system with constant additive state-delays and bounded nonlinear perturbations using Lyapunov-Krasovskii (LK) functional approach.  In the proposed delay-dependent stability analysis, the time-delays are considered to be time-invariant.  In the proposed delay-dependent stability analysis, a candidate LK functional is considered, and take the time-derivative of the functional is bounded using the Jenson integral inequality.  The proposed stability analysis finally culminates into a stability criterion in LMI framework.  The effectiveness of the proposed stability criterion is illustrated using a network controlled temperature control of heat exchanger system

scholarly journals Heat Transfer Characteristics of Rotating Ceramic Regenerators: Numerical Solution Using a Hybrid Finite Difference/Laplace Transform Scheme

1991 ◽  
Author(s):  
Keiji Kawasaki ◽  
Tadaaki Matsuhisa ◽  
Itsuro Sakai ◽  
Kunio Hijikata
Keyword(s):  
Heat Transfer ◽  
Heat Exchanger ◽  
Laplace Transform ◽  
Gas Turbines ◽  
Initial Conditions ◽  
Working Fluids ◽  
The Core ◽  
Temperature Distributions ◽  
Steady State Operation ◽  
Ceramic Honeycomb

A hybrid numerical method, combining finite differences with respect to space and a Laplace transform with respect to time, is proposed to determine the heat transfer in a rotary heat exchanger used as a rotating ceramic regenerator for automotive gas turbines. The temperature distributions of the core and of the working fluids are solved for given boundary and initial conditions of a rotary regenerator using this method. An advantage of the present method is that it can be applied when the core and the working fluids have dissimilar temperature distributions. The temperature change in the ceramic honeycomb core was determined from start up to periodic steady state operation. The heat exchanger effectiveness was obtained for an extruded ceramic core used in automotive gas turbine applications.

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