caa a22 4500 463163753 CHVBK 20180406164755.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s11242-006-9049-4 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9049-4 Effects of viscous dissipation and boundary conditions on forced convection in a channel occupied by a saturated porous medium [Elektronische Daten] [K. Hooman, H. Gurgenci] Forced convection with viscous dissipation in a parallel plate channel filled by a saturated porous medium is investigated numerically. Three different viscous dissipation models are examined. Two different sets of wall conditions are considered: isothermal and isoflux. Analytical expressions are also presented for the asymptotic temperature profile and the asymptotic Nusselt number. With isothermal walls, the Brinkman number significantly influences the developing Nusselt number but not the asymptotic one. At constant wall heat flux, both the developing and the asymptotic Nusselt numbers are affected by the value of the Brinkman number. The Nusselt number is sensitive to the porous medium shape factor under all conditions considered. Springer Science+Business Media, Inc., 2006 Viscous dissipation nationallicence Forced convection nationallicence Channel nationallicence Brinkman-Brinkman problem nationallicence a : Channel aspect ratio H/L nationallicence Bn : $$\frac{\mu U^{2}}{k(T_{\rm m} -T_{\rm w})}$$ nationallicence Br : Darcy-Brinkman number $$\frac{\mu U^{2}\varepsilon H^{2}}{k(T_{\rm i}-T_{\rm w})K}$$ for T and $$\frac{\mu U^{2}\varepsilon H}{{q}^{\prime\prime}K}$$ for H nationallicence Br ′ : Clear fluid Brinkman number $$\frac{\hbox{Br}}{S^{2}}$$ nationallicence C f : Boundary frictional drag coefficient nationallicence c P : Specific heat at constant pressure nationallicence Da : The Darcy number $$Da=\frac{K}{\varepsilon H^{2}}$$ nationallicence H : Half channel width nationallicence k : Porous medium thermal conductivity nationallicence K : Permeability nationallicence L : Channel length nationallicence Nu : The Nusselt number nationallicence p : Dimensionless pressure nationallicence Pe : The Péclet number $$\frac{2\rho c_{\rm p}UH}{k}$$ nationallicence S : $$\left( {\frac{\varepsilon H^{2}}{K}} \right)^{\frac{1}{2}}$$ nationallicence q ′′ : Wall heat flux nationallicence Re : $$\frac{2\rho UH}{\mu }$$ nationallicence T : Temperature nationallicence T b : Bulk mean temperature nationallicence T in : Fluid inlet temperature nationallicence T w : Wall temperature nationallicence u * : x-velocity nationallicence u : u*/U nationallicence U : Inlet velocity nationallicence v * : y-velocity nationallicence v : v*/U nationallicence x * : Longitudinal coordinate nationallicence x : x*/H nationallicence y * : Transverse coordinate nationallicence y : y*/H nationallicence Greek symbols nationallicence ɛ : Porosity nationallicence θ : Dimensionless temperature $$\frac{\left( {T-T_{W}}\right)}{\left({T_{\rm i}-T_{\rm W}}\right)}$$ or $$k\frac{T-T_{\rm in}}{{q}^{\prime\prime}H}$$ for T or H nationallicence $$\bar{{\theta}}$$ : Modified asymptotic dimensionless temperature nationallicence θb : Dimensionless bulk temperature nationallicence μ : Fluid viscosity nationallicence ρ : Fluid density nationallicence ψ : Stream function nationallicence ϕ : Dimensionless viscous dissipation function nationallicence ω : Vorticity nationallicence Hooman K. School of Engineering, The University of Queensland, Brisbane, Australia aut Gurgenci H. School of Engineering, The University of Queensland, Brisbane, Australia aut Transport in Porous Media Kluwer Academic Publishers 68/3(2007-07-01), 301-319 0169-3913 68:3<301 2007 68 11242 https://doi.org/10.1007/s11242-006-9049-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9049-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hooman K. School of Engineering, The University of Queensland, Brisbane, Australia aut NATIONALLICENCE 700 1- Gurgenci H. School of Engineering, The University of Queensland, Brisbane, Australia aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 68/3(2007-07-01), 301-319 0169-3913 68:3<301 2007 68 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer