Numerical Analysis of Laminar Flow Heat Transfer in a Parallel Plate Using Finite Volume and Finite Difference Method

• Main Authors: Shu-Wei Zeng, 曾恕威
• Other Authors: H.Y. Lei
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/21175315760766894741

碩士 === 國立臺灣海洋大學 === 機械與機電工程學系 === 96 === Finite Difference Method (FDM) and Finite Volume Method (FVM) are compared in solving a two dimensional steady laminar flow and heat transfer in a parallel channel with constant wall temperature. FORTRAN programs are written using Patankar’s SIMPLER algorithm with staggered-grid arrangement. The velocity, pressure, temperature, and Nusselt Number (Nu) are solved and analyzed in the comparison. The programs are tested with both the fully developed and developing flow. The numerical results of velocity, pressure gradient, entrance length, or Nu are compared with those analytical or experimental data in the literature to verify the accuracy of the programs. The optimization of the number of grids is also studied in the comparison The FDM and FVM programs are used to study their difference in the numerical model, principles discrete scheme, nature of conservation, accuracy, and computation tine for the fluid flow and heat transfer in a parallel channel. Accurate numerical results can be achieved with optimization of grid size. It is verified FVM has better conservation results in mass, momentum & heat transfer due to its nature in numerical schemes used. The FDM generally needs more grids and computing time in order to get better results. When compared with those with analytical solutions. It is concluded that FVM is better than FDM in most flow conditions in the investigations studied. Further studies for different thermal boundary conditions, such as constant wall heat flux, and for different geometries, such as circular tube, are suggested.