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Numerical Analysis of Non-Fourier Heat Transfer in a solid Cylinder with Dual-phase-Lag phenomenon

Computer Modeling in Engineering & sciences 2020年第1期122卷 399-414页

作者： M.H.Ghasemi s.Hoseinzadeh p.s.heyns D.N.Wilke Department of Mechanical Engineering West Tehran BranchIslamic Azad UniversityTehranIran Centre for Asset Integrity Management Department of Mechanical and Aeronautical EngineeringUniversity of PretoriaPretoriaSouth Africa Young Researchers and Elite Club West Tehran BranchIslamic Azad UniversityTehranIran

In this study,transient non-Fourier heat transfer in a solid cylinder is analytically solved based on dual-phase-lag for constant axial heat flux *** equations for the model are expressed in two-dimensional cylindrical coordinates;the equations are nondimensionalized and exact solution for the equations is presented by using the separation of variable *** showed that the dual-phase-lag model requires less time to meet the steady temperature compared with single-phase-lag *** the contrary,thermal wave diffusion speed for the dual-phase-lag model is greater than the single-phase-lag *** the effect of relaxation time in dual-phase-lag model has been taken on consideration.

关键词： Exact solution non-Fourier heat transfer dual-phase-lag cylindrical coordinate

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Tree survival and maximum density of planted forests–Observations from south African spacing studies

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Forest Ecosystems 2015年第1期2卷 11-19页

作者： Klaus v.Gadow heyns Kotze Department of Forest and Wood science University of Stellenbosch University of G?ttingen Mondi South Africa Division Hilton South Africa

Background：Among the most important aspects of risk and hazard studies relating to forest ecosystems are maximum forest density and density-dependent tree ***：Long-term observations about the maximum density of unthinned pinus patula and *** field plots based on the Correlated Curve Trend（CCT）spacing studies which were established almost 8 decades ago by O’Connor（Forest Research with special Reference to planting Distances and Thinning,1935）in south *** specific approaches were introduced for analysing maximum density and tree survival,namely the‘limiting line’,Nilson’s sparsity and tree survival with the Weibull ***：The main results are：a）Maximum densities differ greatly among the two species grown on the same site and within the same species grown on different sites;it is possible to relate these differences to site index in both species.b）The relationship between the quadratic mean diameter and the minimum average spacing of surviving trees（known as Nilson’s sparsity）appears to be surprisingly similar in both species.c）An analysis of tree survival in response to different initial planting espacements shows that the Weibull survival function parameters can be estimated if the initial planting density is *** result is presented for each of the eight large experiments used in this ***：This study contributes to a better understanding of tree survival and maximum density which are the key factors required for estimating risk and *** risk of tree mortality is not constant,but varies with tree species,planting density,tree age and growing *** estimating that risk,therefore,continuous long-term observation on different sites and with varying planting densities,as provided by the unthinned CCT series,are essential.

关键词： self-thinning Mortality CCT pinus patula pinus elliottii south Africa Nelder

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