Simulation of thermal regenerator: a wavelet based approach
Loading...
Date
2018-08
Authors
Gaurav Kumar
Journal Title
Journal ISSN
Volume Title
Publisher
G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand)
Abstract
Thermal regenerators are the heat exchanger devices used for transferring heat from hot fluid to cold fluid via porous matrix of solid material. In present work, parabolic partial differential equations (PPDEs) demonstrating the heat transfer phenomena in the fixed bed regenerators are solved by using finite difference method (FDM) and the method is improved by introducing the wavelets in it. These PPDEs represents the temperature fronts moving along the bed length with time. In FDM, the discretization process by taking dense grids along the whole bed length for all time levels increases the computational complexity of the method. This shows the requirement of optimization of the grid pattern without compromising the accuracy of the solution. The optimization of grid pattern is achieved by analyzing the temperature profile in different resolution level by using wavelet transformation. Wavelets are the mathematical functions representing the small wave like structures, which can be translated and dilated according to need. Introducing wavelets in the method develops adaptive grid scheme to get the required accuracy and computational efficiency. The grids are re-arranged after a predefined number of time steps. The accuracy of the method is demonstrated by comparing the obtained temperature profiles with the previous experimental results of Chou et al. 2000. The computational time and grid pattern for the different Daubechies wavelets i.e. db1, db2, db3 and db4 is compared. The method is found to be accurate and also achieved reduction in computational time.
Description
Keywords
null