Digital simulation of transient heat conduction with polynomial variable thermal conductivity and specific heat

González-Fernández, C.F.; Alhama, F.; Alarcón, Mariano López; López-Sánchez, J.F.

doi:10.1016/s0010-4655(98)00026-5

Cited by 11 publications

(4 citation statements)

References 9 publications

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“…Many techniques have been developed to simulate convective flows using finite element techniques [32], finite difference solvers [33], method of lines [34] and many others. In the present case to evaluate the proposed model Network Simulation Method (NSM) [35][36][37], a powerful numerical methodology has been chosen. This method, based on a finite-difference scheme, can virtually solve any ordinary and partial differential equation.…”

Section: Introductionmentioning

confidence: 99%

Forced Laminar Flow in Pipes Subjected to Asymmetric External Conditions: The HEATT© Platform for Online Simulations

Alarcón¹,

Seco-Nicolás²,

Luna-Abad³

et al. 2023

Pipeline Engineering - Design, Failure, and Management

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This chapter studies the fluid flow within pipes subjected to thermal asymmetrical boundary conditions. The phenomenon at hand takes place in many real-world industrial situations, such as solar thermal devices, aerial pipelines. A steady-state analysis of laminar forced-convection heat transfer for an incompressible Newtonian fluid is studied. The fluid is considered to flow through a straight round pipe provided with straight fins. For the case studied, axial heat conduction in the fluid has been considered and the effects of the forced convection have been considered to be dominant. A known uniform temperature field is applied at the upper external surface of the assembly. The 3D assembly has been created combining cylindrical and Cartesian coordinates. The governing differential equation system is solved numerically through suitable discretization in a set of different finite volume elements. The results are shown through the thermal profiles in respect of longitudinal and radial-azimuthal coordinates and the problem characteristic length. To facilitate the resolution of this phenomenon, an open computing platform called HEATT©, based on this model, has been developed, and it is also shown here. The platform is now being built and is expected to be freely available at the end of year 2022.

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Section: Introductionmentioning

confidence: 99%

Forced Laminar Flow in Pipes Subjected to Asymmetric External Conditions: The HEATT© Platform for Online Simulations

Alarcón¹,

Seco-Nicolás²,

Luna-Abad³

et al. 2023

Pipeline Engineering - Design, Failure, and Management

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“…Ge su et al employed improved lumped model to solve transient heat conduction with temperature‐dependent thermal conductivity and determined the Biot number limit to use this method. Gonzalez‐Fernandez et al simulated transient heat conduction with polynomial variable thermal conductivity and specific heat by means of network method. Lin proposed the orthogonal collocation method to obtain temperature distribution profiles for transient conduction with temperature‐dependent thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of transient heat conduction equation with variable thermophysical properties by the Tau method

Talati

Tavakoli

Shahmorad

2013

Numerical Methods Partial

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In this article, we proposed the operational approach to the Tau method for solving linear and nonlinear one‐dimensional transient heat conduction equations with variable thermophysical properties which can involve heat generation term. To solve heat conduction equation, first we recall the Tau method to obtain a matrix form of the governing differential equation. Then boundary and initial conditions are transformed into a matrix form. Finally the resulting systems of linear or nonlinear algebraic equations are given. Afterwards, efficient error estimation is also introduced for this method. Some numerical examples are given to illustrate the efficiency and high accuracy of the proposed method and also results are compared with solutions obtained by other methods. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 964–977, 2014

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“…NSM is a general-purpose technique of numerical calculation (see Appendix) especially suitable for linear and nonlinear problems in thermal engineering applications [21] and other elds [22]. It has no complex mathematical requirements, and it is easy to program and simulate.…”

mentioning

confidence: 99%

Transient Conduction in a Fin-Wall Assembly with Harmonic Excitation--Network Thermal Admittance

Alarcón¹,

Alhama²,

González-Fernández³

2002

Heat Transfer Engineering

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The classical performance indicators for extended surfaces, ef ciency and effectiveness, cannot be used for the proper design of nned systems subject to time-dependent processes, such as heat exchangers or electric devices. Based on the network simulation method, a network model of a n-wall assembly, whose admittance is identical to the thermal admittance of the system, has been designed for the whole system. A new n performance indicator, output admittance, is proposed, and frequency analysis of the system is carried out. The simulated numerical response is rapidly obtained by running the network in the appropriate circuit resolution software. This method is especially useful for studying complex thermal transmission functions such as admittance, evaluating modulus, phase, and real and imaginary components of the thermal signal.Extended surfaces are a widely used solution for the augmentation of heat transfer in applications such as heat exchangers, air-cooled heat engines, electric and electronic devices, etc. Many of these applications are subject to variable operating conditions in noncyclic (start-up of machines) or cyclic (on-off cycles or rotating machines) ways. Nevertheless, the complexity of the calculations needed has led to the performance of ns under time-dependent excitation not receiving much attention to date. Furthermore, the isolated n is merely an idealization, and one of the main aspects which must be considered in applications involving a set of ns is the inuence of the wall surface. The in uence of the wall to which the n is attached is quite important for assembly performance. The study of the n-wall system as a set is a far more realistic approach to considering n arrays. However, another dif culty now arises: the inadequacy of the classical extended surface performance indicators, ef ciency and effectiveness, for suitably representing nned wall performance and so in the proper design of such systems.Various articles discuss the transient heat transfer in individual straight ns under harmonic boundary 31

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Digital simulation of transient heat conduction with polynomial variable thermal conductivity and specific heat

Cited by 11 publications

References 9 publications

Forced Laminar Flow in Pipes Subjected to Asymmetric External Conditions: The HEATT© Platform for Online Simulations

Forced Laminar Flow in Pipes Subjected to Asymmetric External Conditions: The HEATT© Platform for Online Simulations

Numerical solution of transient heat conduction equation with variable thermophysical properties by the Tau method

Transient Conduction in a Fin-Wall Assembly with Harmonic Excitation--Network Thermal Admittance

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