What is it about?
This corrigendum addresses an oversight in our earlier paper regarding the mathematical modeling of heat transfer in flowing nanofluids. Initially, we utilized equations that perfectly described natural convection but missed a crucial variable for mixed or forced convection, such as when fluid is pushed through a channel by an external pressure gradient. Specifically, we realized that forcing the base fluid to flow creates an additional convective particle flux that must be accounted for in the thermal energy equation. We have updated the equation to include this missing term, and we also corrected a minor typographical error regarding the definition of the parameter relating to thermophoresis and Brownian diffusion.
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Why is it important?
Accuracy in mathematical modeling is essential for engineering applications that rely on nanofluids, as these mixtures behave differently than standard liquids. The newly incorporated term significantly affects the model by reducing the change in temperature in the direction of the fluid's velocity. By publishing this correction, we clarify the limitations of our previously published analytical solution. We establish that our original results should now be viewed as approximate, specifically applicable only to cases where the Péclet number—based on the thermophoresis diffusivity—is small compared to unity.
Perspectives
As a researcher, realizing that a published equation requires adjustment is a humbling moment, but correcting the scientific record is fundamentally what our work is all about. When Professor Nield and I looked closer at the behavior of forced convection versus natural convection, we knew we had to transparently address the missing convective term to ensure our colleagues in the field had the most accurate tools possible. I hope this short corrigendum serves as a helpful reminder of the subtle complexities involved in modeling nanofluids. It highlights how mathematical frameworks perfectly suited for one physical scenario cannot always be seamlessly transferred to another without carefully reconsidering all underlying particle interactions.
Andrey V Kuznetsov
North Carolina State University
Read the Original
This page is a summary of: Corrigendum to ‘Forced Convection with Slip-Flow in a Channel Occupied by a Hyperporous Medium Saturated by a Rarefied Gas’, Transport in Porous Media, 64, 161–170, 2006, and ‘Thermally Developing Forced Convection in a Porous Medium Occupied by a Rare..., Transport in Porous Media, September 2010, Springer Science + Business Media,
DOI: 10.1007/s11242-010-9654-0.
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