Erscheint 12 Ausgaben pro Jahr
ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508
Indexed in
Fluid Mechanics and Heat Transfer in the Interface Region Between a Porous Medium and a Fluid Layer: A Boundary Layer Solution
ABSTRAKT
This article presents a new analytical solution for the fully developed forced convection in a composite channel bounded by two infinite fixed plates. The upper part of the channel is occupied by a fluid-saturated porous medium while the lower part is occupied by a clear fluid. A uniform heat flux is imposed at the lower plate, while the upper plate is adiabatic. The Brinkman-Forchheimer-extended Darcy equation is utilized as a momentum equation for the porous region. Utilizing the boundary layer technique, analytical solutions for the velocity and temperature distributions, as well as for the Nusselt number, are obtained.
-
Deng Chuntao, Martinez D. Mark, Linear stability of a Berman flow in a channel partially filled with a porous medium, Physics of Fluids, 17, 2, 2005. Crossref
-
De Lemos Marcelo J. S., Turbulent Flow Around Fluid–Porous Interfaces Computed with a Diffusion-Jump Model for k and ε Transport Equations, Transport in Porous Media, 78, 3, 2009. Crossref
-
Kaurangini M. L., Jha B. K., Unsteady generalized Couette flow in composite microchannel, Applied Mathematics and Mechanics, 32, 1, 2011. Crossref
-
Chen Xiaobing, Yu Peng, Winoto S. H., Low Hong-Tong, A numerical method for forced convection in porous and homogeneous fluid domains coupled at interface by stress jump, International Journal for Numerical Methods in Fluids, 56, 9, 2008. Crossref
-
Umavathi Jawali C., Shekar Marudappa, Unsteady Mixed Convective Flow Confined between Vertical Wavy Wall and Parallel Flat Wall Filled with Porous and Fluid Layer, Heat Transfer Engineering, 36, 1, 2015. Crossref
-
Kim and S. J. , Kim D. , Discussion: “Heat Transfer Measurement and Analysis for Sintered Porous Channels” (Hwang, G. J., and Chao, C. H., 1994, ASME J. Heat Transfer, 116, pp. 456–464) , Journal of Heat Transfer, 122, 3, 2000. Crossref
-
Chen X. B., Yu P., Sui Y., Winoto S. H., Low H. T., Natural Convection in a Cavity Filled with Porous Layers on the Top and Bottom Walls, Transport in Porous Media, 78, 2, 2009. Crossref
-
de Lemos Marcelo J.S., Silva Renato A., Turbulent flow over a layer of a highly permeable medium simulated with a diffusion-jump model for the interface, International Journal of Heat and Mass Transfer, 49, 3-4, 2006. Crossref
-
Deng C., Martinez D.M., Viscous flow in a channel partially filled with a porous medium and with wall suction, Chemical Engineering Science, 60, 2, 2005. Crossref
-
Dufrêche J., Prat M., Schmitz P., Sherwood J.D., On the apparent permeability of a porous layer backed by a perforated plate, Chemical Engineering Science, 57, 15, 2002. Crossref
-
Santos Nicolau B., de Lemos Marcelo J. S., Flow and Heat Transfer in a Parallel-Plate Channel with Porous and Solid Baffles, Numerical Heat Transfer, Part A: Applications, 49, 5, 2006. Crossref
-
References, in Turbulence in Porous Media, 2006. Crossref
-
Silva Renato A., de Lemos Marcelo J. S., NUMERICAL ANALYSIS OF THE STRESS JUMP INTERFACE CONDITION FOR LAMINAR FLOW OVER A POROUS LAYER, Numerical Heat Transfer, Part A: Applications, 43, 6, 2003. Crossref
-
de Lemos Marcelo J.S., Turbulent kinetic energy distribution across the interface between a porous medium and a clear region, International Communications in Heat and Mass Transfer, 32, 1-2, 2005. Crossref
-
Silva Renato A., de Lemos Marcelo J.S., Turbulent flow in a channel occupied by a porous layer considering the stress jump at the interface, International Journal of Heat and Mass Transfer, 46, 26, 2003. Crossref
-
Umavathi J.C., Shekar M., Mixed convective flow of immiscible fluids in a vertical corrugated channel with traveling thermal waves, Journal of King Saud University - Engineering Sciences, 26, 1, 2014. Crossref
-
Alazmi B., Vafai K., Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer, International Journal of Heat and Mass Transfer, 44, 9, 2001. Crossref
-
Shokouhmand H., Jam F., Salimpour M.R., The effect of porous insert position on the enhanced heat transfer in partially filled channels, International Communications in Heat and Mass Transfer, 38, 8, 2011. Crossref
-
Silva Renato A., de Lemos Marcelo J.S., Turbulent flow in a composite channel, International Communications in Heat and Mass Transfer, 38, 8, 2011. Crossref
-
Chen X. B., Yu P., Winoto S. H., Low H. T., Forced Convection Over a Backward-Facing Step with a Porous Floor Segment, Numerical Heat Transfer, Part A: Applications, 53, 11, 2008. Crossref
-
Sheremet Mikhail A., Trifonova Tatyana A., Unsteady Conjugate Natural Convection in a Vertical Cylinder Containing a Horizontal Porous Layer: Darcy Model and Brinkman-Extended Darcy Model, Transport in Porous Media, 101, 3, 2014. Crossref
-
Costa V. A. F., Oliveira L. A., Baliga B. R., Implementation of the Stress Jump Condition in a Control-Volume Finite-Element Method for the Simulation of Laminar Coupled Flows in Adjacent Open and Porous Domains, Numerical Heat Transfer, Part B: Fundamentals, 53, 5, 2008. Crossref
-
References, in Turbulence in Porous Media, 2012. Crossref
-
Goldstein R.J., Eckert E.R.G., Ibele W.E., Patankar S.V., Simon T.W., Kuehn T.H., Strykowski P.J., Tamma K.K., Bar-Cohen A., Heberlein J.V.R., Davidson J.H., Bischof J., Kulacki F.A., Kortshagen U., Garrick S., Heat transfer – a review of 1999 literature, International Journal of Heat and Mass Transfer, 44, 19, 2001. Crossref
-
Kuznetsov A.V., Nield D.A., Forced convection in a channel partly occupied by a bidisperse porous medium: Asymmetric case, International Journal of Heat and Mass Transfer, 53, 23-24, 2010. Crossref
-
Nouri-Borujerdi A., Layeghi M., A Review of Concentric Annular Heat Pipes, Heat Transfer Engineering, 26, 6, 2005. Crossref
-
de Lemos Marcelo, Mathematical Modeling and Applications of Turbulent Heat and Mass Transfer in Porous Media, in Handbook of Porous Media, Second Edition, 2005. Crossref
-
Kardani Ali, Omidvar Pourya, Zarghami Ahad, Analysis of Thermal Flow in a Rotating Porous U-Turn Duct Using Lattice Boltzmann Method, Transport in Porous Media, 116, 1, 2017. Crossref
-
Nield Donald A., Bejan Adrian, Forced Convection, in Convection in Porous Media, 2017. Crossref
-
Lin Qi, Wang Shugang, Liang Yuntao, Song Shuanglin, Ren Tingxiang, Analytical prediction of coal spontaneous combustion tendency: Velocity range with high possibility of self-ignition, Fuel Processing Technology, 159, 2017. Crossref
-
Tsiberkin Kirill, Effect of Inertial Terms on Fluid–Porous Medium Flow Coupling, Transport in Porous Media, 121, 1, 2018. Crossref
-
Tsiberkin Kirill, Inertial and Darcy’s Terms Ratio in Boundary Layer at Fluid–Porous Medium Interface, Transport in Porous Media, 125, 2, 2018. Crossref
-
Li Qi, Hu Pengfei, Analytical solutions of fluid flow and heat transfer in a partial porous channel with stress jump and continuity interface conditions using LTNE model, International Journal of Heat and Mass Transfer, 128, 2019. Crossref
-
Baranov A.V., The Filling of a Mould Cavity with Simultaneous Impregnation of the Reinforcing Porous Layer, Polymers and Polymer Composites, 23, 2, 2015. Crossref
-
Furman Alex, Modeling Coupled Surface-Subsurface Flow Processes: A Review, Vadose Zone Journal, 7, 2, 2008. Crossref
-
Madhavan Jithin, Das Malay K., De Ashoke, A multiscale approach for stable relaxation parameter values in lattice Boltzmann simulations of heat and mass transport in porous media, Numerical Heat Transfer, Part B: Fundamentals, 82, 1-2, 2022. Crossref
-
Chen X.B., Yu P., Winoto S.H., Low H.T., Numerical analysis for the flow past a porous trapezoidal‐cylinder based on the stress‐jump interfacial‐conditions, International Journal of Numerical Methods for Heat & Fluid Flow, 19, 2, 2009. Crossref
-
Ghachem Kaouther, Selimefendigil Fatih, Alshammari Badr M., Maatki Chemseddine, Kolsi Lioua, Coupled Effects of Using Magnetic Field, Rotation and Wavy Porous Layer on the Forced Convection of Hybrid Nanoliquid Flow over 3D-Backward Facing Step, Nanomaterials, 12, 14, 2022. Crossref