Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 50, 2006 - Issue 5
98
Views
25
CrossRef citations to date
0
Altmetric
Original Articles

Stability of Natural Convection in Superposed Fluid and Porous Layers Using Integral Transforms

, , &
Pages 409-424 | Received 25 Dec 2005, Accepted 15 Feb 2006, Published online: 24 Feb 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (6)

Kleber Marques Lisboa, José Luiz Zanon Zotin & Renato Machado Cotta. (2021) Hybrid solutions for thermally developing flows in channels partially filled with porous media. Numerical Heat Transfer, Part B: Fundamentals 79:4, pages 189-215.
Read now
Renato M. Cotta, Kleber M. Lisboa, Marcos F. Curi, Stavroula Balabani, João N. N. Quaresma, Jesus S. Perez-Guerrero, Emanuel N. Macêdo & Nelson S. Amorim. (2019) A review of hybrid integral transform solutions in fluid flow problems with heat or mass transfer and under Navier–Stokes equations formulation. Numerical Heat Transfer, Part B: Fundamentals 76:2, pages 60-87.
Read now
Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
Read now
CarolinaP. Naveira-Cotta, HelcioR. B. Orlande & RenatoM. Cotta. (2010) Integral Transforms and Bayesian Inference in the Identification of Variable Thermal Conductivity in Two-Phase Dispersed Systems. Numerical Heat Transfer, Part B: Fundamentals 57:3, pages 173-202.
Read now
DanielR. Graminho & MarceloJ. S. de Lemos. (2008) Laminar Confined Impinging Jet into a Porous Layer. Numerical Heat Transfer, Part A: Applications 54:2, pages 151-177.
Read now
S. P. A. Paz, E. N. Macêdo, J. N. N. Quaresma & R. M. Cotta. (2007) Eigenfunction Expansion Solution for Boundary-Layer Equations in Cylindrical Coordinates: Simultaneously Developing Flow in Circular Tubes. Numerical Heat Transfer, Part A: Applications 52:12, pages 1123-1149.
Read now

Articles from other publishers (19)

R. Sumithra, T. Arul Selvamary & J. M. Shivaraja. (2022) Non-Uniform Temperature Gradients Impact on Rayleigh-Darcy Convection : A Composite System with Couple Stress Fluid. Journal of Mines, Metals and Fuels, pages 76-87.
Crossref
Renato M. Cotta, Kleber M. Lisboa & José Luiz Z. Zotin. (2020) Integral transforms for flow and transport in discrete and continuum models of fractured heterogeneous porous media. Advances in Water Resources 142, pages 103621.
Crossref
E.V.M. dos Reis, L.A. Sphaier, L.C.S. Nunes & L.S. de B. Alves. (2018) Dynamic response of free span pipelines via linear and nonlinear stability analyses. Ocean Engineering 163, pages 533-543.
Crossref
Donald A. Nield & Adrian BejanDonald A. Nield & Adrian Bejan. 2017. Convection in Porous Media. Convection in Porous Media 241 361 .
Leonardo S. de B. Alves & Antonio Barletta. (2015) Convective to absolute instability transition in the Prats flow of a power-law fluid. International Journal of Thermal Sciences 94, pages 270-282.
Crossref
L.A. Sphaier & A. Barletta. (2014) Unstable mixed convection in a heated horizontal porous channel. International Journal of Thermal Sciences 78, pages 77-89.
Crossref
Yunzhang Zhang & Yanren Hou. (2014) The Crank-Nicolson Extrapolation Stabilized Finite Element Method for Natural Convection Problem. Mathematical Problems in Engineering 2014, pages 1-22.
Crossref
L.S. de B. Alves & A. Barletta. (2013) Convective instability of the Darcy–Bénard problem with through flow in a porous layer saturated by a power-law fluid. International Journal of Heat and Mass Transfer 62, pages 495-506.
Crossref
Ekaterina Kolchanova, Dmitry Lyubimov & Tatyana Lyubimova. (2013) The Onset and Nonlinear Regimes of Convection in a Two-Layer System of Fluid and Porous Medium Saturated by the Fluid. Transport in Porous Media 97:1, pages 25-42.
Crossref
Donald A. Nield & Adrian BejanDonald A. Nield & Adrian Bejan. 2013. Convection in Porous Media. Convection in Porous Media 221 329 .
Sílvia C. Hirata, Benoît Goyeau & Dominique Gobin. (2012) Onset of convective instabilities in under-ice melt ponds. Physical Review E 85:6.
Crossref
Dominique Gobin & Benoît Goyeau. (2012) Thermosolutal Natural Convection in Partially Porous Domains. Journal of Heat Transfer 134:3.
Crossref
S. C. Hirata, B. Goyeau & D. Gobin. (2009) Stability of Thermosolutal Natural Convection in Superposed Fluid and Porous Layers. Transport in Porous Media 78:3, pages 525-536.
Crossref
S.C. Hirata, B. Goyeau, D. Gobin, M. Chandesris & D. Jamet. (2009) Stability of natural convection in superposed fluid and porous layers: Equivalence of the one- and two-domain approaches. International Journal of Heat and Mass Transfer 52:1-2, pages 533-536.
Crossref
Joung Sook Hong, Min Chan Kim, Do-Young Yoon, Bum-Jin Chung & Sin Kim. (2008) Linear stability analysis of a fluid-saturated porous layer subjected to time-dependent heating. International Journal of Heat and Mass Transfer 51:11-12, pages 3044-3051.
Crossref
Dominique Gobin & Benoit Goyeau. (2008) Natural convection in partially porous media: a brief overview. International Journal of Numerical Methods for Heat & Fluid Flow 18:3/4, pages 465-490.
Crossref
K. Hooman & H. Gurgenci. (2008) Effects of temperature-dependent viscosity on Bénard convection in a porous medium using a non-Darcy model. International Journal of Heat and Mass Transfer 51:5-6, pages 1139-1149.
Crossref
Silvia C. Hirata, Benoît Goyeau & Dominique Gobin. (2007) Stability of natural convection in superposed fluid and porous layers: Influence of the interfacial jump boundary condition. Physics of Fluids 19:5.
Crossref
S.C. Hirata, B. Goyeau, D. Gobin, M. Carr & R.M. Cotta. (2007) Linear stability of natural convection in superposed fluid and porous layers: Influence of the interfacial modelling. International Journal of Heat and Mass Transfer 50:7-8, pages 1356-1367.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.