<p>Photovoltaic thermal (PV-T) systems offer the dual benefit of electricity generation and thermal energy capture. These systems are hindered by reduced electrical efficiency at elevated panel temperatures. To address this challenge, the present study proposes a nanofluid-based passive cooling strategy using an inclined absorber pipe filled with copper-methanol and alumina-methanol nanofluids. A steady-state, buoyancy-driven flow of incompressible Casson nanofluid is modeled within the pipe, accounting for both quadratic and nonlinear thermal radiation effects. The governing boundary layer equations are transformed into a system of ordinary differential equations using similarity variables and solved numerically via MATLAB’s <Emphasis FontCategory="NonProportional">BVP4C</Emphasis> solver. Results reveal that increasing the pipe curvature suppresses both velocity and temperature profiles. The velocity drop is about 23–28% for quadratic thermal radiation (QTR) and 37–47% for nonlinear thermal radiation (NTR) at a fixed value of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\eta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>η</mi> </math></EquationSource> </InlineEquation>. Higher thermal radiation enhances heat transfer through elevated boundary layer energy. Comparative analysis indicates that Cu-methanol outperforms <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\textrm{Al}_{2}\textrm{O}_{3}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>Al</mtext> <mn>2</mn> </msub> <msub> <mtext>O</mtext> <mn>3</mn> </msub> </mrow> </math></EquationSource> </InlineEquation>-methanol in thermal response. The findings highlight the critical role of fluid rheology, radiation modeling, and geometric configuration in optimizing passive thermal regulation in PV-T systems.</p>

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Modeling of Casson nanofluid flow with quadratic and nonlinear thermal radiation in an inclined absorber pipe

  • H. Shabbir,
  • A. Aziz,
  • W. Sultan,
  • M. Shams

摘要

Photovoltaic thermal (PV-T) systems offer the dual benefit of electricity generation and thermal energy capture. These systems are hindered by reduced electrical efficiency at elevated panel temperatures. To address this challenge, the present study proposes a nanofluid-based passive cooling strategy using an inclined absorber pipe filled with copper-methanol and alumina-methanol nanofluids. A steady-state, buoyancy-driven flow of incompressible Casson nanofluid is modeled within the pipe, accounting for both quadratic and nonlinear thermal radiation effects. The governing boundary layer equations are transformed into a system of ordinary differential equations using similarity variables and solved numerically via MATLAB’s BVP4C solver. Results reveal that increasing the pipe curvature suppresses both velocity and temperature profiles. The velocity drop is about 23–28% for quadratic thermal radiation (QTR) and 37–47% for nonlinear thermal radiation (NTR) at a fixed value of \(\eta\) η . Higher thermal radiation enhances heat transfer through elevated boundary layer energy. Comparative analysis indicates that Cu-methanol outperforms \(\textrm{Al}_{2}\textrm{O}_{3}\) Al 2 O 3 -methanol in thermal response. The findings highlight the critical role of fluid rheology, radiation modeling, and geometric configuration in optimizing passive thermal regulation in PV-T systems.