Please enter verification code
Confirm
Natural Convection in Porous Triangular Enclosure with a Circular Obstacle in Presence of Heat Generation
American Journal of Applied Mathematics
Volume 3, Issue 2, April 2015, Pages: 51-58
Received: Feb. 22, 2015; Accepted: Mar. 10, 2015; Published: Mar. 21, 2015
Views 3309      Downloads 417
Authors
Raju Chowdhury, Department of Natural Science, Stamford University Bangladesh, Dhaka-1209, Bangladesh; Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka-1000, Bangladesh
Md. Abdul Hakim Khan, Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka-1000, Bangladesh
Md. Noor-A-Alam Siddiki, Department of Natural Science, Stamford University Bangladesh, Dhaka-1209, Bangladesh
Article Tools
Follow on us
Abstract
The flow and heat transfer due to natural convection in a triangular enclosure filled with a fluid saturated porous medium with a circular body in presence of heat generation has been numerically analyzed. The bottom wall of the enclosure is heated at a constant temperature while the left and right inclined wall of the cavity is maintained at cold temperature. The cavity contains a circular body which is insulated. The governing equations are solved numerically subject to suitable boundary conditions by Galerkin’s weighted residuals scheme of finite element method. Results are presented by streamlines, isotherms, mean Nusselt numbers for the variant parameters such as heat generation (λ) and radius of the circular body (R). Prandtl number (Pr) and Rayleigh number (Ra) are considered unchanged. It is found that these parameters have significant effect on the flow and temperature fields inside the cavity.
Keywords
Natural Convection, Heat Generation, Triangular Cavity, Circular Body, Porous Media
To cite this article
Raju Chowdhury, Md. Abdul Hakim Khan, Md. Noor-A-Alam Siddiki, Natural Convection in Porous Triangular Enclosure with a Circular Obstacle in Presence of Heat Generation, American Journal of Applied Mathematics. Vol. 3, No. 2, 2015, pp. 51-58. doi: 10.11648/j.ajam.20150302.14
References
[1]
D. A. Nield, A. Bejan, Convection in Porous Media, second ed., Springer, NY, 2006.
[2]
D. B. Ingham, I. Pop, Transport Phenomena in Porous Media II, Pergamon, 2005.
[3]
S. Ostrach, Natural convection in enclosures, Adv. Heat Transfer 8 (1972) 161-227.
[4]
M. A. Hossain, M. Wilson, Natural convection flow in a fluid-saturated porous medium enclosed by non-isothermal walls with heat generation, Int. J. Therm. Sci. 41 (2002) 447-454.
[5]
S. Parvin and R. Nasrin, Analysis of the Flow and Heat Transfer Characteristics for MHD Free Convection in an Enclosure with a Heated Obstacle, Nonlinear Analysis: Modelling and Control, 16 (2011) 89-99.
[6]
H. Asan, L. Namli, Laminar natural convection in a pitched roof of triangular cross-section: Summer day boundary conditions, Energy and Building 33 (2000) 69-73.
[7]
V. A. Akinsete, T. A. Coleman, Heat transfer by steady laminar free convection in triangular enclosures, Int. J. Heat Mass Transfer 25 (1982) 991-998.
[8]
Y. Varol, H. F. Oztop, A. Varol, Free convection in porous media filled right-angle triangular enclosures, Int. Comm. Heat Mass Transfer 33 (2006) 1190-1197.
[9]
A. C. Baytas, I. Pop, Free convection in oblique enclosures filled with a porous medium, Int. J. Heat Mass Transfer 42 (1999) 1047-1057.
[10]
Y. Varol, H. F. Oztop, Free convection in a shallow wavy enclosure, Int. Comm. Heat Mass Transfer 33 (2006) 764-771.
[11]
Y. Varol, A. Koca, H. F. Oztop, Numerical convection in a triangle enclosure with flush mounted heater on the wall, Int. Comm. Heat Mass Transfer 33 (2006) 951-958.
[12]
E. Ridouane, A Campo, M. Hasnaoui, Benefits derivable from connecting the bottom and top walls of attic enclosure with insulated vertical side walls, Numer. Heat Transfer Part A-Applications 49 (2006) 175-193.
[13]
K. A. Joudi, I. A. Hussein, A. A. Farhan, Computational model for a prism shaped storage solar collector with a right triangular cross section, Energy Conservation and Management 45 (2004) 391-409.
[14]
S. C. Tzeng, J. H. Liou, R. Y. Jou, Numerical simulation-aided parametric analysis of natural convection in a roof of triangular enclosures, Heat Transfer Engrg. 26 (2005) 69-79.
[15]
A. Bejan, D. Poulikakos, Natural convection in an attic-shaped space filled with porous material, J. Heat Transfer 104 (1982) 241-247.
[16]
Y. Varol, H. F. Oztop, A. Varol, Free convection in porous media filled right-angle triangular enclosures, Int. Comm. Heat Mass Transfer 33 (2006) 1190-1197.
[17]
T. Basak, C. Thirumalesha, S. Roy, Finite element simulations of natural convection in a right-angle triangular enclosure filled with a porous medium: effects of various thermal boundary conditions, J. Porous Media 11 (2008) 159-78.
[18]
Y. Varol, H.F.Oztop, T. Yilmaz, Two dimensional natural convection in a porous triangular enclosure with a square body, Int. Commun.Heat Mass Transfer 34 (2007) 238-247.
[19]
A. Amine, J.K. Platten, M. Hasnaoui, Thermal convection around obstacles: the case of Sierpinski carpets, Exp. Fluids 36 (2004) 717-727.
[20]
M.Y. Ha, I.K. Kim, H.S. Yoon, K.S. Yoon, J.R. Lee, S. Balachandar, H.H. Chun, Two-dimensional and unsteady natural convection in a horizontal enclosure with a square body, Numer. Heat Transf., A Appl. 41 (2002) 183-210.
[21]
H.F. Oztop, I. Dagtekin, M. Duranay, Analysis of natural convection problem in a cavity with partially heated and block inserted, Proceedings of 13rd Heat Science and Technology Congress, Turkey, 2001, pp. 217-222, (In Turkish).
[22]
Suvash C. Saha, Y. T. Gu, Free convection flow in a triangular enclosure with fluid-saturated porous medium enclosed with heat generation, J. ANZIAM 53 (2012) C127-C141.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186