2009
DOI: 10.1002/er.1548
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A thermal nonlinear dynamic model for water tube drum boilers

Abstract: SUMMARYA thermal model for the prediction of possible tube overheating was developed. The model incorporates a nonlinear state space dynamic model that captures the important physical interactions of the main variables of steam generation in naturally circulated water tube drum boilers. This paper provides an investigation of the dynamic effects of rapid rise in fuel flow rate (heat input) on the thermal and flow characteristics of the riser tubes in natural circulation water tube boilers. The system under con… Show more

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Cited by 7 publications
(7 citation statements)
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“…The initial value S 0 is constant and is independent of the location of r. The influence function u(r, t) allows to determine thermal stress S(r P ,t) for any continuous change of the medium temperature f(t), using Duhamel's integral, defined by Equation (2). The influence function u(r P ,t) at the points P 1 and P 2 describes the change of circumferential stresses at the edge of the opening, caused by a unit, stepwise increase of the fluid temperature.…”
Section: Mathematical Formulation Of the Methodsmentioning
confidence: 99%
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“…The initial value S 0 is constant and is independent of the location of r. The influence function u(r, t) allows to determine thermal stress S(r P ,t) for any continuous change of the medium temperature f(t), using Duhamel's integral, defined by Equation (2). The influence function u(r P ,t) at the points P 1 and P 2 describes the change of circumferential stresses at the edge of the opening, caused by a unit, stepwise increase of the fluid temperature.…”
Section: Mathematical Formulation Of the Methodsmentioning
confidence: 99%
“…Bi 5 Biot number, Bi 5 hL/k c 5 specific heat capacity (J kg À1 K À1 ) D 5 inner diameter of the drum (m) E 5 modulus of elasticity (MPa) f 5 fluid temperature (1C) F 5 number of future time steps F(x,t) 5 solution of the initial-boundary problem Fo 5 Fourier number, Fo 5 at/L 2 F, F 1 5 functions defined by Equations (21) and (22) h 5 heat transfer coefficient (W m À2 K À1 ) H, h 5 thickness of the drum and downcomer wall (m) k 5 thermal conductivity (W m À1 K À1 ) L 5 slab thickness (m) n t 5 number of time points p n 5 gauge pressure (MPa) p 1 5 initial pressure during start-up or shutdown of the boiler (MPa) p 2 5 final pressure during start-up or shutdown of the boiler (MPa) r 5 radius (m) r 5 position vector S 5 stress calculated using Duhamel integral (MPa) S e 5 sum of the temperature difference squares (K 2 ) t 5 time (s) T 5 temperature (1C or K) T 5 mean temperature over the wall thickness (1C) u 5 influence function (temperature or thermal stress for unit stepwise increase of the fluid temperature) U 5 uncertainty v T 5 rate of temperature changes (K s À1 ) x 5 cartesian coordinate (m) y 5 allowable stress (MPa)…”
Section: Nomenclaturementioning
confidence: 99%
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“…CFD calculations for fuel-air mixtures were conducted by Mahesh et al [56] Mohanraj et al [58], Habib et al [59,60]. Mahesh et al [56] developed a numerical method using LES for simulating turbulent Figure 7.…”
Section: Cfd Calculations Of Oxyfuel Combustionmentioning
confidence: 99%
“…In literature, there are found many mathematical models for simulating the dynamic behaviour of steam power plants. For example, Elmegaard (1999), Diaz (2003) and Habib et al (2010) present dynamic models. In this work, the aim is to develop the dynamic model of the supercritical circulating fluidized bed (CFB) Benson type once-through utility (OTU) boiler.…”
Section: Introductionmentioning
confidence: 99%