PARAMETERS EFFECTS ON CONDUCTION-CONVECTION HEAT TRANSFER IN RECTANGULAR ENCLOSURE SANDWICHED BY FINITE THICKNESS WALLS
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 1
Abstract
The effect of wall heat conduction on natural convection heat transfer in cavities has gained attention of many researchers in recent years due to its wide application areas in engineering such that building heating and cooling and thick enclosures , etc . In this work , we consider a two-dimensional numerical study of a rectangle cavity filled with an air with two vertical conductive walls of finite thickness . The enclosure is subjected to horizontal temperature gradient , the vertical boundaries are isothermal at different temperatures whereas the remaining walls are adiabatic .The theoretical study involved the numerical solution of the Navier-stokes and energy equations by using finite difference method . The stream-vorticity formulation was used in the mathematical model . The physical problem depends on five parameters : Rayleigh number (1000<Ra<1000000) , the Prandtl number (Pr=0.7) , the wall to fluid thermal conductivity ratio (0.1<=Kr<=10) , solid to fluid thickness ratio (0.5<=L1/L2<=1.5) , the ratio of (left or right) solid thickness to the height )(D=L1/H=0.5,0.6667,0.75) and the aspect ratio (H/L= 0.5,1,1.5) . The main focus of the study is on examining the effect of conduction in the wall on the natural convection flow .The results are presented to show the effect of these parameters on the heat transfer and fluid flow characteristics .
Authors and Affiliations
Ahmed M Jumaa, Ameer S. Dawood, Hekmat Sh Mustafa
Numerical Solution of Double Integral of Singular Derivatives Using Trapezoidal Method with Romberg Acceleration
The goal of this paper is to evaluate numerically a double integral of partial Derivatives Using RTRT Method. For Trapezoidal method (one of Newton-Cotes formula) which will be based on two dimensions x and y. In additio...
Remarks on a Recent General Even-Tupled Coincidence Theorem
In this note, we present a sharpened form of a recent general even-tupled coincidence theorem due to Imdad et al: (Journal of Operators, Volume 2013 (2013) Art. ID 532867, 8 pp.) and also furnish a proof which also...
PSEUDO-RC-INJECTIVE MODULES
The main purpose of this work is to introduce and study the concept of pseudo-rc-injective module which is a proper generalization of rc-injective and pseudo-injective modules. Numerous properties and characterizations h...
Fractal Image Compression Using Modified Operator (IFS)
Image data Compression based on fractal theory is fundamentally dierent from conventional compression methods, its idea is to generate a contraction operator whose fixed point approximates the original image in a complet...
APPROXIMATION OF FOURIER SERIES OF A FUNCTION OF LIPCHITZ CLASS BY PRODUCT MEANS
Lipchitz class of function had been introduced by McFadden[5}.Recently dealing with degree of approximation of Fourier series of a function of Lipchitz class Nigam[12] and Misra et al.[13] have established certain theore...