Analysis of laminar forced convection with Network Simulation in thermal entrance region of ducts

Zueco, Joaquín; Alhama, F.; Fernández, C.F. González

doi:10.1016/j.ijthermalsci.2003.10.007

Cited by 42 publications

(24 citation statements)

References 15 publications

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“…This analogy has been applied in different problems of engineering. González-Fernández et al [15] solved heat conduction processes with polynomial and potential-exponentially varying thermal properties, Alhama et al [16] solved the inverse problem of determining unsteady heat fluxes, Zueco et al [17] studied the laminar forced convection in thermal entrance region of ducts. Zueco and Campo [18] studied the transient response in enclosures with thick walls that operate under unsteady-state conditions, with radiative boundary conditions possibly containing a gas.…”

Section: Numerical Solution Proceduresmentioning

confidence: 99%

Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium

Zueco

2007

Commun. Numer. Meth. Engng.

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SUMMARYA numerical solution for the transient two-dimensional free convection flow of viscous dissipative fluid over an infinite vertical plate through a porous medium bounded, taking into account the thermal radiation, is analysed. The fluid is grey, and acts as a radiation emitting and absorbing (but non-scattering) medium. The influence of the non-dimensional parameters such as the Forchheimer coefficient (Fo), the permeability parameter (P), the Eckert number (Ec) and the radiation parameter (R) on the velocity, temperature, Nusselt number and on the time taken to reach the steady state is studied. The possibility of non-Darcy flow is also analysed. The numerical method employed, network simulation method, is based on an electro-thermal analogy and permits the direct visualization and evolution of the local and/or integrated transport variables (velocities, temperatures and fluxes) at any point or section of the medium. The numerical solutions of this work have been compared with the existing information in the literature with good agreement.

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Section: Numerical Solution Proceduresmentioning

confidence: 99%

Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium

Zueco

2007

Commun. Numer. Meth. Engng.

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“…The network simulation method is a numerical technique whose accuracy, efficiency and reliability have already been proven in numerous linear and nonlinear direct problems in heat transfer engineering [20,21,22,23,24,25,26,27,28,29,30,31]. NSM simulates the behaviour of unsteady electric circuits by means of resistors, capacitors and non-linear devices that seek to resemble thermal systems governed by unsteady linear or non-linear equations.…”

Section: Introductionmentioning

confidence: 99%

“…Bi-dimensional (axial-radial) wall and fluid heat conduction is considered and the effects of Peclet number and the pipe thickness are analyzed and a numerical tool NSM is applied to study the heat transfer transient-state related to a fully development laminar flow in circular pipes in [21]. [22], studied numerical solution of the heat conduction equation with the electro thermal analogy and the code PSPICE.…”

Section: Introductionmentioning

confidence: 99%

NSM Solution on Transient Natural Convective Viscous Fluid Flow Past a Vertical Cone

Immanuel¹,

Pullepu²,

Rani³

2016

Int. J. of Pure and Appl. Math.

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The unsteady free convective flow of the non-isothermal vertical cone with wall surface temperature varying as power function of distance from the apex (x = 0) with the effects of viscous dissipation is considered here. The dimensionless parabolic integro-partial differential equations that are non-linear, unsteady and coupled are solved using a new method NSM technique. The velocity, temperature profiles and the local as well as average skinfriction and Nusselt number have been studied and analyzed graphically for the effect of viscous dissipation for various parameters of angle φ, Prandtl number P r and n (exponent in power law variation in surface temperature). The present results are compared with available results in literature and are found to be in good agreement.

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“…This method has already been successfully used to solve linear and nonlinear problems in direct (Alhama and González-Fernández [9] and Zueco et al [10]) and inverse problems. Also, Alhama et al [11] applied this method to estimating different types of time-dependent incident heat fluxes to verify the general methodology proposed for this inverse heat transfer problem, while Zueco et al [12] used it to estimate the temperature-dependent thermal properties of solids within the phase-change temperature range.…”

Section: Introductionmentioning

confidence: 99%

Numerical software for the inverse estimation of the temperature-dependent thermal properties in heat conduction

Zueco¹,

Monreal²

2012

Advanced Computational Methods and Experiments in Heat Transfer XII

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A software application has been developed for the numerical solution of inverse problems in heat conduction. The developed software allows the estimation of specific heat and thermal conductivity both individually and simultaneouslytemperature dependent -and allows application of a variety of boundary conditions. The first step is to accurately estimate the starting point, then estimate the thermophysical properties, presenting the solution by a linear function of straight stretches. The input data is the temperature history at a particular location of the solid. The iterative least-squares approach is used to minimize the functional and in all cases a piecewise function is used to approximate the solution. No prior information is used for the functional forms of the unknown specific heat, because this problem is considered a function estimation problem. In all the cases a piece-wise function is used to approximate the solution. The Network Simulation Method is the numerical method used, with a design of the network model made easy, with very few electric devices. The software developed is used to run the network so that no mathematical manipulations are required. The results confirm that it is possible to estimate the thermophysical properties using experimental temperature history and a procedure inverse. As regards the convergence of the solutions, no restrictions concerning the time interval need to be imposed by the user.

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Analysis of laminar forced convection with Network Simulation in thermal entrance region of ducts

Cited by 42 publications

References 15 publications

Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium

Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium

NSM Solution on Transient Natural Convective Viscous Fluid Flow Past a Vertical Cone

Numerical software for the inverse estimation of the temperature-dependent thermal properties in heat conduction

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