Optimizing thermal performance of nanofluid impinging upon a nonlinearly stretching sheet using Taguchi technique

Abstract

The main purpose of this article is to optimize the thermal performance of system involving stagnation point flow of $A{l}_2{O}_3$+ water based nanofluid over a nonlinearly stretching surface. The mathematical model for the problem under consideration utilizes the Tiwari and Das’s single phase flow model for the nanofluid. The aim is to find a similar solution of the problem using some suitable similarity variables. The partial differential equations dictating the flow situation are converted into dimensionless ordinary differential equations. Numerical solution of the system of dimensionless ordinary differential equations has been obtained with the help of MATLAB’s inbuilt bvp4c package. Further, Taguchi analysis along with ANOVA and regression analysis have been performed against the variable like $\mathit{\text{Pr}},\gamma ,n$ and $\varphi$ corresponding to response variable to predict the optimal heat transfer of the system. Outcomes of ANOVA indicate that Pr has maximum and $\varphi$ has minimum influence over the Nusselt number.

Keywords:

• Nanofluid
• stagnation point flow
• Taguchi method

Acknowledgments

The authors are grateful to the VIT-AP University for providing all necessary support to carry out this research.

Disclosure statement

All authors agree on the submission and publication of the submitted manuscript. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this article.

Table 1. Thermophysical expressions [25].

Table 2. Thermophysical values at T = 300 K [26].

Table 3. Comparison of the value of $f″(0)$ for $\varphi =0$ and n = 1 for different value of γ.

Table 4. Operational parameters and their levels [28].

Table 5. Orthogonal array (O.A) [28].

Additional information

Funding

This work was supported by VIT-AP University.