NDLI: Natural Convection Boundary-Layer Flow in a Porous Medium with Temperature-Dependent Boundary Conditions

Content Provider	Springer Nature Link
Author	Merkin, J. H. Pop, I.
Copyright Year	2010
Abstract	The natural convection boundary-layer flow on a surface embedded in a fluid-saturated porous medium is discussed in the case when the wall heat flux is related to the wall temperature through a power-law variation. The flow within the porous medium is assumed to be described by Darcy’s law and the Boussinesq approximation is assumed for the density variations. Two cases are discussed, (i) stagnation-point flow and (ii) flow along a vertical surface. The possible steady states are considered first with the governing partial equations reduced to ordinary differential equations by similarity transformations and these latter equations further transformed to previously studied free-convection problems. This identifies values of the exponent N in the power-law wall temperature variation, N = 3/2 for stagnation-point flows and 3/2 ≤ N ≤ 3 for the vertical surface, where similarity solutions do not exist. Time development for stagnation-point flows is seen to depend on N, for N < 3/2 the steady state is approached at large times, for N ≥ 3/2 a singularity develops at finite time leading to thermal runaway. Numerical solutions for the vertical surface, where the temperature-dependent boundary condition becomes more significant as the solution develops, show that, for N < 3/2, the corresponding similarity solution is approached, whereas for N > 3/2 the solution breaks down at a finite distance along the surface.
Starting Page	397
Ending Page	414
Page Count	18
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	85
Issue Number	2
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-03-31
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Convective flow Porous media Boundary-layer flow Temperature-dependent wall conditions Classical Continuum Physics Hydrogeology Civil Engineering Industrial Chemistry/Chemical Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Mixed Convection Boundary-Layer Flow on a Vertical Surface in a Porous Medium with a Constant Convective Boundary Condition

Mixed Convection Boundary-Layer Flow Over a Vertical Surface Embedded in a Porous Material Subject to a Convective Boundary Condition

Non-similar Solution for Natural Convective Boundary Layer Flow Over a Sphere Embedded in a Porous Medium Saturated with a Nanofluid

Free Convection Boundary Layer Flow Past a Vertical Surface in a Porous Medium with Temperature-Dependent Properties

On the Temperature Slip Boundary Condition in a Mixed Convection Boundary-Layer Flow in a Porous Medium

Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition

Mixed Convection Boundary Layer Flow from a Horizontal Circular Cylinder Embedded in a Porous Medium Filled with a Nanofluid

Mixed Convection Boundary-layer Flow Past a Vertical Surface Embedded in a Porous Medium: Exponential Case

A New Insight into the Convective Boundary Condition

Natural Convection Boundary-Layer Flow in a Porous Medium with Temperature-Dependent Boundary Conditions

Similar Documents

Mixed Convection Boundary-Layer Flow on a Vertical Surface in a Porous Medium with a Constant Convective Boundary Condition

Mixed Convection Boundary-Layer Flow Over a Vertical Surface Embedded in a Porous Material Subject to a Convective Boundary Condition

Non-similar Solution for Natural Convective Boundary Layer Flow Over a Sphere Embedded in a Porous Medium Saturated with a Nanofluid

Free Convection Boundary Layer Flow Past a Vertical Surface in a Porous Medium with Temperature-Dependent Properties

On the Temperature Slip Boundary Condition in a Mixed Convection Boundary-Layer Flow in a Porous Medium

Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition

Mixed Convection Boundary Layer Flow from a Horizontal Circular Cylinder Embedded in a Porous Medium Filled with a Nanofluid

Mixed Convection Boundary-layer Flow Past a Vertical Surface Embedded in a Porous Medium: Exponential Case

A New Insight into the Convective Boundary Condition

Natural Convection Boundary-Layer Flow in a Porous Medium with Temperature-Dependent Boundary Conditions