Prosiding Seminar Nasional Teknologi Industri Berkelanjutan
Prosiding SENASTITAN Vol. 06 2026

Contextual STEM Mathematical Modeling Using a Small Scale Savonius Wind Turbine for Public High School Education

Yayuk Badriatuz Zahroh (SMAN 1 Kedungwaru)
Nuryazid Muhibah (SMKN 2 Boyolangu)
Moch. Kalam Mollah (Jurusan Teknik Sipil, ITATS)
Fairus Atika Redanto Putri (Jurusan Teknik Pertambangan, ITATS)
Zain Lillahulhaq (Jurusan Teknik Mesin, ITATS)



Article Info

Publish Date
24 Sep 2026

Abstract

This study develops a contextual STEM mathematical modeling framework using a small scale Savonius wind turbine as an engineering context for public high school education. The framework translates a fundamental renewable energy relationship into a structured sequence involving rotor geometry, wind energy, numerical calculation, ratio analysis, and graphical interpretation. A rotor diameter of 0.25 m and a height of 0.30 m were used, giving a swept area of 0.075 m². With an assumed air density of 1.225 kg/m³, available wind power was evaluated for wind velocities from 0.5-3.0 m/s using a cubic formula. The calculation results show that power increased from 0.0057 W to 1.2403 W across the modeled range. When the wind velocity is increased by factor of two, the available wind power increases by factor of eight. When the wind velocity increases by factor of three, the power rises by 27. The results show nonlinear behavior of the cubic function. The framework integrates science through wind energy, technology through the Savonius turbine, engineering through rotor geometry, and mathematics through functions, ratios, tables, and graphs. It is intended as a contextual mathematical modeling resource rather than an experimentally validated turbine performance model or a tested classroom intervention.

Copyrights © 2026






Journal Info

Abbrev

senastitan

Publisher

Subject

Automotive Engineering Chemical Engineering, Chemistry & Bioengineering Engineering Industrial & Manufacturing Engineering Mechanical Engineering

Description

- Industrial and Sustainable Technology Innovations - Ergonomics, Human Factors, HSE, and Work Design - Logistics System and Supply Chain - Operational Research, Modeling, and Simulation - Materials Engineering, Advanced Materials, Nano Materials - Energy Conversion, New and Renewable Energy - ...