A numerical study of the natural convection flow in a porous cavity with wavy bottom and top walls having sinusoidal temperature distributions on vertical walls filled with a nanofluid is numerically investigated. The mathematical model has been formulated in dimensionless stream function and temperature taking into account the Darcy–Boussinesq approximation and the Buongiorno's nanofluid model. The boundary-value problem has been solved numerically on the basis of a second-order accurate finite difference method. Efforts have been focused on the effects of five types of influential factors such as the Rayleigh (Ra = 10–300) and Lewis (Le = 1–1000) numbers, the buoyancy-ratio parameter (Nr = 0.1–0.4), the Brownian motion parameter (Nb = 0.1–0.4), and the thermophoresis parameter (Nt = 0.1–0.4) on the fluid flow and heat transfer characteristics. It has been found that the average Nusselt and Sherwood numbers are increasing functions of the Rayleigh number, buoyancy- ratio parameter, and thermophoresis parameter, and decreasing functions of the Lewis number and Brownian motion parameter.
Skip Nav Destination
Close
Sign In or Register for Account
Article navigation
July 2015
Research-Article
Natural Convection in a Wavy Porous Cavity With Sinusoidal Temperature Distributions on Both Side Walls Filled With a Nanofluid: Buongiorno's Mathematical Model
M. A. Sheremet
,
M. A. Sheremet
Department of Theoretical Mechanics,
Faculty of Mechanics and Mathematics,
Faculty of Mechanics and Mathematics,
Tomsk State University
,Tomsk 634050
, Russia
Institute of Power Engineering,
e-mail: michael-sher@yandex.ru
Tomsk Polytechnic University
,Tomsk 634050
, Russia
e-mail: michael-sher@yandex.ru
Search for other works by this author on:
I. Pop
I. Pop
Department of Applied Mathematics,
e-mail: popm.ioan@yahoo.co.uk
Babeş-Bolyai University
,CP 253, Cluj-Napoca 400082
, Romania
e-mail: popm.ioan@yahoo.co.uk
Search for other works by this author on:
M. A. Sheremet
Department of Theoretical Mechanics,
Faculty of Mechanics and Mathematics,
Faculty of Mechanics and Mathematics,
Tomsk State University
,Tomsk 634050
, Russia
Institute of Power Engineering,
e-mail: michael-sher@yandex.ru
Tomsk Polytechnic University
,Tomsk 634050
, Russia
e-mail: michael-sher@yandex.ru
I. Pop
Department of Applied Mathematics,
e-mail: popm.ioan@yahoo.co.uk
Babeş-Bolyai University
,CP 253, Cluj-Napoca 400082
, Romania
e-mail: popm.ioan@yahoo.co.uk
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 3, 2014; final manuscript received January 28, 2015; published online March 24, 2015. Assoc. Editor: Terry Simon.
J. Heat Transfer. Jul 2015, 137(7): 072601 (8 pages)
Published Online: July 1, 2015
Article history
Received:
July 3, 2014
Revision Received:
January 28, 2015
Online:
March 24, 2015
Citation
Sheremet, M. A., and Pop, I. (July 1, 2015). "Natural Convection in a Wavy Porous Cavity With Sinusoidal Temperature Distributions on Both Side Walls Filled With a Nanofluid: Buongiorno's Mathematical Model." ASME. J. Heat Transfer. July 2015; 137(7): 072601. https://doi.org/10.1115/1.4029816
Download citation file:
- Ris (Zotero)
- Reference Manager
- EasyBib
- Bookends
- Mendeley
- Papers
- EndNote
- RefWorks
- BibTex
- ProCite
- Medlars
Close
Sign In
Get Email Alerts
Cited By
Related Articles
Natural Convection in an Inclined Fluid Layer With a Transverse Magnetic Field: Analogy With a Porous Medium
J. Heat Transfer (February,1995)
Nonlinear Radiation and Variable Viscosity Effects on Free Convection of a Power-Law Nanofluid Over a Truncated Cone in Porous Media With Zero Nanoparticles Flux and Internal Heat Generation
J. Thermal Sci. Eng. Appl (June,2021)
Non-Darcy Natural Convection From a Vertical Cylinder Embedded in a Thermally Stratified and Nanofluid-Saturated Porous Media
J. Heat Transfer (February,2014)
Related Proceedings Papers
Related Chapters
Finite Element Solution of Natural Convection Flow of a Nanofluid along a Vertical Flat Plate with Streamwise Sinusoidal Surface Temperature
International Conference on Computer and Electrical Engineering 4th (ICCEE 2011)
Macropore Spatial Variability of CT-Measured Solute Transport Parameters
Intelligent Engineering Systems through Artificial Neural Networks, Volume 20
Application of Adaptive Grayscale Morphological Operators for Image Analysis
Intelligent Engineering Systems through Artificial Neural Networks Volume 18