Heat transfer optimization of Marangoni convective flow of nanofluid over an infinite disk with Stefan blowing and slip effects using Taguchi method

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This article optimizes the heat and mass transfer characteristics of Marangoni convection in a nanoliquid flowing on an infinite disk with Stefan blowing and activation energy using the Taguchi method. The combined effects of frictional heating, Joule heating, and the binary chemical reaction on Marangoni convection are also examined. The flow is compelled by surface tension resulting from the thermal and nanoparticle gradient. The thermal and nanoparticle slippages are deliberated on the surface of the disk. The similarity variables of Von Kármán are used to obtain the numerical solutions of the partial differential equations of the boundary layer. The impact of operational parameters on Nusselt number, thermal energy, Sherwood number, nanoparticles volume fraction, and velocity quantities is analyzed. The Robust Taguchi method and the L16 orthogonal array design are used to optimize the heat/mass transfer rate of the nanoliquid. The combination of the optimal levels of Prandtl number, Marangoni number, thermal slip number, and nanoparticle slip number for maximum heat/mass transport in the nanoliquid is estimated by the Taguchi method. ANOVA and multivariate regression methods are also employed to obtain the significance of key parameters. The optimal combination of the key parameters is Pr = 3, δC = 0, δT = 0 and Ma = 1.0 to achieve the maximum heat transfer rate (1.73425). Among the key parameters selected for the optimization process, the Marangoni number has the highest contribution (62.12%) to the improvement of the rate of heat transport, while the nanoparticle slip condition has the lowest contribution (1.9%).

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International Communications in Heat and Mass Transfer



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