In this study, Galerkin Finite Element Method or GFEM is used for modeling the heat transfer in a channel filled by hybrid nanofluids under the electric field. Three voltages of 1, 3 and 5V are supplied to the inlet boundary condition and four types of hybrid nanofluid were used (TiO₂–CuO, TiO₂–Al₂O₃, Al₂O₃–CuO and Al₂O₃–Cu) to improve the average Nusselt number. 11 different cases also were proposed to examine the effect of fins geometries on the heat transfer by Central composite design (CCD). Number of fins (4–8), length of fins (10–20 cm) and thickness of fins (2–4 cm) are the considered variables and levels. Results indicated that TiO₂–Al₂O₃ with ϕ=0.05 had the greatest Nusselt number among the other experienced cases. Also, increasing the nanoparticles concentrations by 0.01 could improve the Nusselt number up to 5.19%. Furthermore, Results showed that increasing the supplied voltage for electric field from 1V to 5V can improve the heat transfer process in the channel.

在这项研究中，Galerkin 有限元方法或 GFEM 用于模拟电场下混合纳米流体填充的通道中的传热。向入口边界条件提供 1、3 和 5V 三种电压，并使用四种类型的混合纳米流体（TiO ₂ –CuO、TiO ₂ –Al ₂ O ₃、Al ₂ O ₃ –CuO 和 Al ₂ O ₃–Cu) 以提高平均努塞尔数。还提出了 11 种不同的案例，以通过中央复合设计 (CCD) 来检查翅片几何形状对传热的影响。鳍的数量 (4–8)、鳍的长度 (10–20 cm) 和鳍的厚度 (2–4 cm) 是考虑的变量和水平。结果表明，TiO ₂ -Al ₂ O ₃与φ=0.05 具有最大的努塞尔数在其他经历的情况下。此外，将纳米粒子浓度增加 0.01 可以将努塞尔数提高至 5.19%。此外，结果表明，将电场提供的电压从 1V 增加到 5V 可以改善通道中的传热过程。