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International Journal of Mechanical Engineering and Technology (IJMET)
Volume 8, Issue 10, October 2017, pp. 638–644, Article ID: IJMET_08_10_069
Available online at http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=10
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication Scopus Indexed
DYNAMIC ANALYSIS OF PLANE WALL HEAT
STORAGE
Rexhep Selimaj and Xhevat Berisha*
Faculty of Mechanical Engineering, University of Prishtina, 1000 Prishtina, Kosovo
*Corresponding author
ABSTRACT
In this paper we focus on the relationship between temperature and heat
transmission capacity, representing by mathematical model with differential equation
which describes the dynamics of thermal flux to the plane wall. This paper provides
mathematical model and dynamic analysis of the process of heat transmission through
the plane wall, considering the parameters of concentration. Since the heat transfer is
one of the most common parts of the practical installations then the wall material is
taken metal to which the coefficient of thermal conductivity is considered unlimited.
Wall temperature is assumed the same for the entire wall and also in the paper are
analyzed the Laplace transformations. The importance of the paper lies in the
metering of models and optimization of heat transmission by the wall, specifically
analyzing the thermal flows at the entrance and exit, the wall heat storage, wall
thermal capacity, reinforcement’s constants and thermal time constants.
Keywords: Heat transmission, Thermal flux, Heat storage, Thermal capacity, Wall
temperature.
Cite this Article: Rexhep Selimaj and Xhevat Berisha, Dynamic Analysis of Plane
Wall Heat Storage, International Journal of Mechanical Engineering and Technology
8(10), 2017, pp. 638–644.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=10
1. INTRODUCTION
In some cases the heat conduction in one particular direction is much higher than that in other
directions. In such cases, we approximate the heat transfer problems as being one-
dimensional, neglecting heat conduction in other directions. Now, we will develop the
governing differential equation for heat conduction. Consider the differential of volume dV =
dxdydz in Cartesian coordinate system. The basic form of heat conduction equation is
obtained by applying the first law of thermodynamics (principle of conservation of energy):
m
x x dx gen
dQ
Q Q Q
dτ
+
- + =
(1)