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research-article

Simulating Heat Transfer through Periodic Structures with Different Wall Temperatures: A Temperature Decomposition Method

[+] Author and Article Information
Ping Li

Bharti School of Engineering, Laurentian University, 935 Ramsey Lake Road, Sudbury, Ontario, P3E 2C6, Canada
pli3@laurentian.ca

Junfeng Zhang

Bharti School of Engineering, Laurentian University, 935 Ramsey Lake Road, Sudbury, Ontario, P3E 2C6, Canada
jzhang@laurentian.ca

1Corresponding author.

ASME doi:10.1115/1.4040257 History: Received December 11, 2017; Revised May 01, 2018

Abstract

To simulate heat transfer processes through periodic devices with non-uniform wall temperature distributions, we propose to decompose the regular temperature into two parts: namely the transient part and the equilibrium part. These two parts can be solved independently under their individual wall and inlet/outlet conditions. By calculating the flow field and the two component functions in one periodic module, one can easily generate the distributions of regular temperature in one or multiple modules. The algorithm and implementation are described in details, and the method is discussed thoroughly from mathematical, physical, and numerical aspects. Sample simulations are also presented to demonstrate the capacity and usefulness of this method for future simulations of thermal periodic flows using various numerical schemes.

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