# THE STABILITY OF GAUGE-UZAWA METHOD TO SOLVE NANOFLUID

• JANG, DEOK-KYU (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY) ;
• KIM, TAEK-CHEOL (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY) ;
• PYO, JAE-HONG (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY)
• Accepted : 2020.05.04
• Published : 2020.06.25

#### Abstract

Nanofluids is the fluids mixed with nanoscale particles and the mixed nano size materials affect heat transport. Researchers in this field has been focused on modeling and numerical computation by engineers In this paper, we analyze stability constraint of the dominant equations and check validate of the condition for most kinds of materials. So we mathematically analyze stability of the system. Also we apply Gauge-Uzawa algorithm to solve the system and prove stability of the method.

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