Entropy generation analysis for convective heat transfer of nanofluids in tree-shaped network flowing channels

In this paper, convective heat transfer processes of nanofluids flowing through tree-shaped network flowing channels with prescribed heat flux on channel wall are investigated. The entropy generation rate equations of nanofluids flowing through the tree-shaped network channels are deduced; the interaction between volume fractions of nanoparticles and entropy generation rate is investigated. For H-shaped tree network flowing channels, the recurrence formulas of total entropy generation rate and the order number of flowing channels are deduced, and the numerical examples are presented. A new dimensionless number is proposed to describe the entropy generation properties of nanofluids. Analytical solutions of entropy generation rate distribution of any order of H-shaped construct of flowing channel using nanofluids are obtained.