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<p>The growing awareness of the risks associated with relying heavily on fossil fuels for electricity generation presents an opportunity for innovation among researchers. This challenge has inspired the growth of solar energy, which can effectively address the limitations of fossil fuels. This study considers the heat transmission enhancement of Williamson hybrid nanofluid over an elastic solar plate with heat source and dissipation energy. Regression analysis is employed to effectively examine the relationships between various thermophysical properties of the flow and the dynamics of convective heat transfer. The mathematical model was developed to elucidate the heat transmission phenomenon of the improved heat carrier fluid. This model incorporates viscous dissipation, heat source, and varying thermal properties, all formulated based on conservation principles. The solution to the emerging non-dimensional model was sought with the aid of the bivariate spectral weighted residual technique. The accuracy of the method was shown with known work in the literature, and it was confirmed to be the same. The significance of the thermophysical parameters on the flow profiles was elucidated through graphs and tables. Findings show that heat source and viscous dissipation parameters escalate the heat transmission coefficient of the fluid. It was also observed that variable viscosity and varying thermal conductivity due to temperature fluctuations boost the fluid’s velocity and temperature, respectively. These suggest that, with Williamson hybrid nanofluid (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\phi 1=0.1\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\phi 2=0.05\)</EquationSource> </InlineEquation>) flow in a collector, smaller solar collector systems may achieve the same performance as larger conventional systems, reducing costs and installation space by at least 36%.</p>

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Regression Analysis of Williamson Hybrid Nanofluid Flow over a Stretchable Solar Panel Plate

  • 期刊论文

  • 发表日期：

    2025年10月11日

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  • K. B. Kasali,
  • L. O. Aselebe,
  • A. T. Adeosun,
  • O. M. Oladoja,
  • A. Yusuf,
  • B. B. Lamidi

摘要

The growing awareness of the risks associated with relying heavily on fossil fuels for electricity generation presents an opportunity for innovation among researchers. This challenge has inspired the growth of solar energy, which can effectively address the limitations of fossil fuels. This study considers the heat transmission enhancement of Williamson hybrid nanofluid over an elastic solar plate with heat source and dissipation energy. Regression analysis is employed to effectively examine the relationships between various thermophysical properties of the flow and the dynamics of convective heat transfer. The mathematical model was developed to elucidate the heat transmission phenomenon of the improved heat carrier fluid. This model incorporates viscous dissipation, heat source, and varying thermal properties, all formulated based on conservation principles. The solution to the emerging non-dimensional model was sought with the aid of the bivariate spectral weighted residual technique. The accuracy of the method was shown with known work in the literature, and it was confirmed to be the same. The significance of the thermophysical parameters on the flow profiles was elucidated through graphs and tables. Findings show that heat source and viscous dissipation parameters escalate the heat transmission coefficient of the fluid. It was also observed that variable viscosity and varying thermal conductivity due to temperature fluctuations boost the fluid’s velocity and temperature, respectively. These suggest that, with Williamson hybrid nanofluid ( \(\phi 1=0.1\) and \(\phi 2=0.05\) ) flow in a collector, smaller solar collector systems may achieve the same performance as larger conventional systems, reducing costs and installation space by at least 36%.