caa a22 4500 463162943 CHVBK 20180406164753.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11242-006-9064-5 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9064-5 The effect of local thermal non-equilibrium on conduction in porous channels with a uniform heat source [Elektronische Daten] [Ali Nouri-Borujerdi, Amin Noghrehabadi, D. Rees] We examine the effect of local thermal non-equilibrium on the steady state heat conduction in a porous layer in the presence of internal heat generation. A uniform source of heat is present in either the fluid or the solid phase. A two-temperature model is assumed and analytical solutions are presented for the resulting steady-state temperature profiles in a uniform porous slab. Attention is then focussed on deriving simple conditions which guarantee local thermal equilibrium. Springer Science+Business Media, Inc., 2006 Local thermal non-equilibrium nationallicence Conduction nationallicence Porous media nationallicence Internal heat generation nationallicence c : Specific heat nationallicence C 1, C 2, C 3 : Constants nationallicence h : Inter-phase heat transfer coefficient nationallicence H : Non-dimensional inter-phase heat transfer coefficient nationallicence k : Thermal conductivity nationallicence L : Length scale nationallicence $${q^{\prime\prime\prime}}$$ : Rate of heat generation per unit volume nationallicence Q : Overall rate of heat generation nationallicence t : Time nationallicence T f, T s : Fluid and solid temperatures, respectively nationallicence T 0 : Ambient temperature nationallicence $${\underline \upsilon}$$ : Velocity vector nationallicence x : Coordinate across the channel nationallicence y : Coordinate along the channel nationallicence Greek nationallicence γ : Porosity-scaled conductivity ratio nationallicence δ : Constant defined by Eq. 22 nationallicence $$\epsilon$$ : Porosity nationallicence ζ : Constant denoting internal heating contributions nationallicence η : Similarity variable nationallicence θ : Non-dimensional fluid temperature nationallicence λ : Constant nationallicence ρ : Density nationallicence τ : Scaled time nationallicence $$\phi$$ : Non-dimensional solid temperature nationallicence ω : Non-dimensional diffusivity nationallicence Subscripts and superscripts nationallicence f : Fluid nationallicence s : Solid nationallicence $$\hat{}$$ : Dimensional nationallicence Nouri-Borujerdi Ali School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut Noghrehabadi Amin School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut Rees D. Department of Mechanical Engineering, University of Bath, BA2 7AY, Bath, UK aut Transport in Porous Media Kluwer Academic Publishers 69/2(2007-09-01), 281-288 0169-3913 69:2<281 2007 69 11242 https://doi.org/10.1007/s11242-006-9064-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9064-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nouri-Borujerdi Ali School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut NATIONALLICENCE 700 1- Noghrehabadi Amin School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran aut NATIONALLICENCE 700 1- Rees D. Department of Mechanical Engineering, University of Bath, BA2 7AY, Bath, UK aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 69/2(2007-09-01), 281-288 0169-3913 69:2<281 2007 69 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer