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Thermal Behavior of Radiative Darcy–Forchheimer Nanofluid Flow With Heat Source/Sink Effects

In plain language

This research investigates the flow and thermal characteristics of a nanofluid moving through a porous medium under the influence of thermal radiation and internal heat sources or sinks. By employing the Darcy-Forchheimer framework, the study accounts for both viscous resistance and nonlinear inertial drag typical of high-temperature porous environments. Numerical simulations performed using a boundary value problem solver reveal how specific physical factors alter momentum and heat distribution. Higher thermal radiation broadens the thermal boundary layer and increases the Nusselt number. Conversely, greater inertial resistance curbs fluid velocity across the medium. Meanwhile, internal heat generation elevates temperature distributions, whereas heat absorption acts to stabilise the overall thermal field. These numerical evaluations establish quantitative relationships among porous resistance, radiative effects, and thermal performance.

Key takeaways

  • Increasing thermal radiation enhances both the thermal boundary layer thickness and the Nusselt number.
  • Higher Forchheimer resistance significantly suppresses the velocity of the nanofluid.
  • Internal heat sources elevate fluid temperatures, whereas heat sinks serve to stabilise the thermal field.
  • The Darcy-Forchheimer formulation captures viscous and inertial resistance alongside volumetric heating in high-temperature porous media.

Why it matters

Understanding how fluids transfer heat through porous materials under intense temperatures is essential for developing superior thermal technologies. By quantifying how radiation, internal heating, and medium resistance influence flow behaviour, these findings help engineers predict and control thermal fields. This knowledge aids the development of more efficient solutions for regulating or dissipating heat in demanding industrial environments.

Commercialisation angle

The findings are relevant to developers of advanced cooling systems, energy storage devices, and industrial thermal management equipment. Because the abstract describes a numerical study solved via computational software without experimental prototypes, the research sits at an early stage. Commercial adoption would require engineering teams to validate these mathematical simulations through physical testing in specific hardware configurations.

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Abstract

ABSTRACT This study examines the thermal and flow behavior of a radiative Darcy–Forchheimer nanofluid in a porous medium, incorporating internal heat source and sink effects. The combined influence of thermal radiation, porous resistance, and nonlinear inertial drag on momentum, heat, and mass transfer is systematically analyzed. The Darcy–Forchheimer model captures both viscous and inertial resistance, while thermal radiation and volumetric heat generation/absorption are included to reflect realistic high‐temperature porous systems. The coupled nonlinear momentum and energy equations are solved numerically using the MATLAB bvp4c solver, and the effects of key parameters—Forchheimer number, radiation parameter, and heat source/sink strength on velocity, temperature, and Nusselt number are evaluated. Results show that increasing radiation enhances the thermal boundary layer thickness and Nusselt number, whereas higher Forchheimer resistance suppresses velocity, with a range of 0.2 ≥ ( ≥ 0.17 (mean value). Heat sources raise the temperature profiles to 0.19 ≤ θ ( ≤ 0.3 (mean), while sinks stabilize the thermal field. These findings provide quantitative insights into controlling flow and heat transfer in porous media, with direct relevance to advanced cooling systems, energy storage devices, and industrial thermal management applications.

Research topics

  • Nanofluid Flow and Heat Transfer
  • Heat and Mass Transfer in Porous Media
  • Heat Transfer and Optimization

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DOI: 10.1002/eng2.71050

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