Optimizing the Rate of Heat Transfer through Nanofluid Impinging upon a Continuously Deforming Riga Plate using Taguchi Method

Abstract

Motive of this article is to analyse the heat transfer and nanoparticle migration in a stagnation point flow of nanofluid towards a continuously deforming riga plate with the help of passive flow control technique. The mathematical model dictating the flow situation are based on Buongiorno’s two phase convective heat transport model. The partial differential equations of the mathematical model are transformed into dimensionless ordinary differential equations using suitable similarity variables. The numerical similar solution of the problem is obtained using the MATLAB’s inbuilt bvp4c package. The results for velocity, temperature, nanoparticle volume fraction and quantities of engineering interests are presented graphically to show the effect of various flow controlling parameters. Further, Taguchi optimization technique along with ANOVA and multivariate regression analysis is performed to optimize the heat transfer of the system against selected parameters. The statistical analysis for the Nusselt number suggests that, the thermophoresis effect is most significant phenomenon, whereas Brownian motion has least significance over the Nusselt number among the flow parameters. The outcome of present study have implication in many real life processes, such as the thermal design of industrial equipment dealing with molten plastics, crystalline materials and polymeric liquids.