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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 33, 1998 - Issue 5
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Original Articles

APPLICATION OF THE NETWORK METHOD TO HEAT CONDUCTION PROCESSES WITH POLYNOMIAL AND POTENTIAL-EXPONENTIALLY VARYING THERMAL PROPERTIES

C. F. González Fernández Departamento de Física, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Murcia, Paseo Alfonso XIII, 48, Cartagena, 30203, Spain
,
F. Alhama Departamento de Física, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Murcia, Paseo Alfonso XIII, 48, Cartagena, 30203, Spain
,
J. F. López Sánchez Departamento de Física, Escuela Técnica Superior de Ingenieros Industriales, Universidad de Murcia, Paseo Alfonso XIII, 48, Cartagena, 30203, Spain
&
J. Horno Departamento de Física Aplicada, Facultad de Ciencias Experimentales, Universidad de Jaén, Paraje “Las lagunillas’ s/n, Jaén, 23071, Spain
Pages 549-559 | Received 28 May 1997, Accepted 10 Nov 1997, Published online: 15 Mar 2007

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J. P. Abraham, B. D. Plourde & L. J. Vallez. (2017) Comprehensive review and study of the buoyant air flow within positive-pressure hospital operating rooms. Numerical Heat Transfer, Part A: Applications 72:1, pages 1-20.
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L. J. Vallez, B. D. Plourde & J. P. Abraham. (2016) A new computational thermal model of the whole human body: Applications to patient warming blankets. Numerical Heat Transfer, Part A: Applications 69:3, pages 227-241.
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J. F. Sánchez Pérez, J. A. Moreno & F. Alhama. (2015) Numerical Simulation of High-Temperature Oxidation of Lubricants Using the Network Method. Chemical Engineering Communications 202:7, pages 982-991.
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Articles from other publishers (29)

Juan Francisco Sánchez-Pérez, Fulgencio Marín-García, Enrique Castro, Gonzalo García-Ros, Manuel Conesa & Joaquín Solano-Ramírez. (2023) Methodology for Solving Engineering Problems of Burgers–Huxley Coupled with Symmetric Boundary Conditions by Means of the Network Simulation Method. Symmetry 15:9, pages 1740.
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Juan Francisco Sánchez-Pérez, Guillermo Jorde-Cerezo, Adrián Fernández-Roiz & José Andrés Moreno-Nicolás. (2023) Mathematical Modeling and Analysis Using Nondimensionalization Technique of the Solidification of a Splat of Variable Section. Mathematics 11:14, pages 3174.
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Gonzalo García-Ros, Juan Francisco Sánchez-Pérez, Julio Valenzuela, Manuel Conesa & Manuel Cánovas. (2022) A Network Model for Electroosmotic and Pressure-Driven Flow in Porous Microfluidic Channels. Mathematics 10:13, pages 2301.
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José Antonio Jiménez-Valera, Gonzalo García-Ros & Iván Alhama. (2021) Numerical Simulation of Heat Transport Problems in Porous Media Coupled with Water Flow Using the Network Method. Energies 14:18, pages 5755.
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Noelia González Morales, Juan Francisco Sánchez-Pérez, Jose Andres Moreno Nicolás & Andreas Killinger. (2020) Modelling of Alumina Splat Solidification on Preheated Steel Substrate Using the Network Simulation Method. Mathematics 8:9, pages 1568.
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Joaquín Solano Ramírez, Francisco Balibrea Gallego, José Andrés Moreno Nicolás & Fulgencio Marín García. (2020) Analysis of Chaotic Response of Frenkel-Kontorova-Tomlinson Model. Symmetry 12:9, pages 1413.
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Juan Francisco Sánchez-Pérez, Jose Andres Moreno Nicolas, Francisco Alhama & Manuel Canovas. (2020) Study of Transition Zones in the Carbon Monoxide Catalytic Oxidation on Platinum Using the Network Simulation Method. Mathematics 8:9, pages 1413.
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J.F. Sánchez-Pérez, F. Alhama, J.A. Moreno & M. Cánovas. (2019) Study of main parameters affecting pitting corrosion in a basic medium using the network method. Results in Physics 12, pages 1015-1025.
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J. F. Sánchez-Pérez, F. Marín, J. L. Morales, M. Cánovas & F. Alhama. (2018) Modeling and simulation of different and representative engineering problems using Network Simulation Method. PLOS ONE 13:3, pages e0193828.
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F. Marín, F. Alhama, J. Solano, P.A. Meroño & J.F. Sánchez. (2016) Multi-scale Simulations of Dry Friction Using Network Simulation Method. Applied Mathematics and Nonlinear Sciences 1:2, pages 559-580.
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J F Sanchez Perez, M Conesa & I Alhama. (2016) Solving ordinary differential equations by electrical analogy: a multidisciplinary teaching tool. European Journal of Physics 37:6, pages 065703.
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F. Marín, F. Alhama, P. A. Meroño & J. A. Moreno. (2015) Modelling of stick–slip behaviour in a Girling brake using network simulation method. Nonlinear Dynamics 84:1, pages 153-162.
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Joaquín Zueco. (2011) An electric simulator to solve education engineering problems in fluid mechanics. Computer Applications in Engineering Education 21:4, pages 748-757.
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F. Marín, F. Alhama & J.A. Moreno. (2012) Modelling of stick-slip behaviour with different hypotheses on friction forces. International Journal of Engineering Science 60, pages 13-24.
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J.F. Sánchez, F. Alhama & J.A. Moreno. (2012) An efficient and reliable model based on network method to simulate CO2 corrosion with protective iron carbonate films. Computers & Chemical Engineering 39, pages 57-64.
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F. Alhama, F. Marín & J.A. Moreno. (2011) An efficient and reliable model to simulate microscopic mechanical friction in the Frenkel–Kontorova–Tomlinson model. Computer Physics Communications 182:11, pages 2314-2325.
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Min Chen, L.A. Rosendahl, T.J. Condra & J.K. Pedersen. (2009) Numerical Modeling of Thermoelectric Generators With Varing Material Properties in a Circuit Simulator. IEEE Transactions on Energy Conversion 24:1, pages 112-124.
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Joaquín Zueco. (2007) Unsteady free convection–radiation flow over a vertical wall embedded in a porous medium. Communications in Numerical Methods in Engineering 24:11, pages 1093-1105.
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Kang Cao & John Baker. (2008) Application of Transient Network Models for Near Space Thermal Management. Application of Transient Network Models for Near Space Thermal Management.
Antonio Soto Meca, Francisco Alhama López & Carlos González Fernández. (2007) Density-driven flow and solute transport problems. A 2-D numerical model based on the network simulation method. Computer Physics Communications 177:9, pages 720-728.
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Francisco Alhama & Joaquìn Zueco. (2007) Application of a lumped model to solids with linearly temperature-dependent thermal conductivity. Applied Mathematical Modelling 31:2, pages 302-310.
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J.A. Moreno Nicolás, F.C. Gómez de León Hijes & F. Alhama. (2007) Solution of temperature fields in hydrodynamics bearings by the numerical network method. Tribology International 40:1, pages 139-145.
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J. Zueco, F. Alhama & C.F. González-Fernández. (2006) Inverse determination of temperature dependent thermal conductivity using network simulation method. Journal of Materials Processing Technology 174:1-3, pages 137-144.
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J. Zueco, F. Alhama & C. F. Gonz�lez Fern�ndez. (2004) Numerical nonlinear inverse problem of determining wall heat flux. Heat and Mass Transfer 41:5, pages 411-418.
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Carlos Fernando Gonz�lez-Fern�ndez, M. Alarc�n & F. Alhama. (2004) Transient multiboiling in a pin fin with temperature dependent thermal conductivity. Heat and Mass Transfer 41:1, pages 67-74.
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J. Zueco, F. Alhama & C.F. González Fernández. (2004) Analysis of laminar forced convection with Network Simulation in thermal entrance region of ducts. International Journal of Thermal Sciences 43:5, pages 443-451.
Crossref
F. Alhama, J. Zueco & C. F. González Fernández. (2003) An Inverse Determination of Unsteady Heat Fluxes Using a Network Simulation Method. Journal of Heat Transfer 125:6, pages 1178-1183.
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F Alhama & C.F González Fernández. (2002) Transient thermal behaviour of phase-change processes in solid foods with variable thermal properties. Journal of Food Engineering 54:4, pages 331-336.
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R.J Goldstein, E.R.G Eckert, W.E Ibele, S.V Patankar, T.W Simon, T.H Kuehn, P.J Strykowski, K.K Tamma, A Bar-Cohen, J.V.R Heberlein, J.H Davidson, J Bischof, F.A Kulacki, U Kortshagen & S Garrick. (2001) Heat transfer: a review of 1998 literature. International Journal of Heat and Mass Transfer 44:2, pages 253-366.
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