## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Numerical and statistical analyses of a natural convection radiative hybrid nanofluid flow on a vertical permeable plate

**ABSTRACT**

This study presents the mathematical and statistical findings towards the model of steady, laminar, natural convection hybrid alumina-copper/water nanofluid flow on a vertical permeable hot plate with a thermal radiation effect. The governing partial differential equations of the model are simplified to a system of ordinary differential equations by using the sophisticated similarity transformation. For mathematical analysis, a finite difference method is used via the numerical solver known as bvp4c (Matlab) while for statistical analysis, a response surface methodology (RSM) is adapted via Minitab. It is found that the stronger thermal radiation effect improves the heat transmission rate of the hybrid nanofluid under the presence of suction and natural convection. This finding has been statistically proven through the optimization technique via RSM with 99.97% desirability.

**KEYWORDS**

PAPER SUBMITTED: 2023-11-12

PAPER REVISED: 2024-04-28

PAPER ACCEPTED: 2024-05-26

PUBLISHED ONLINE: 2024-08-31

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