<p>This study presents a computational fluid dynamics (CFD) analysis of heat transfer and pressure drop in a straight slot impingement jet, utilizing <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="76" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:\text{T}\text{i}{\text{O}}_{2}/{\text{H}}_{2}\text{O}\)</EquationSource> </InlineEquation> nanofluid within a square duct. The working fluid comprises <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="36" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:\text{T}\text{i}{\text{O}}_{2}\)</EquationSource> </InlineEquation> nanoparticles (diameter d<sub>p</sub> = 25&#xa0;nm) suspended in water at a volume fraction (ϕ) of 2.5%. The investigation of different values of Reynolds numbers (Re) from 8,000 to 17,000, with variations in different geometrical parameters such as slot jet height ratio (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq3.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{H}}_{\text{j}\text{e}\text{t}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation>: 0.3–0.6), spanwise pitch ratio (<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq4.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="70" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{P}}_{\text{s}\text{p}\text{a}\text{n}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation>: 0.18–0.45), and streamwise pitch ratio (<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq5.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="81" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{P}}_{\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation>: 0.88–1.30). Three-dimensional numerical simulations are conducted using the ANSYS CFD module, incorporating the RNG k-ε turbulence model to solve governing equations in a turbulent regime. The CFD results show strong agreement with both the experimental results and empirical correlations results with similar geometrical configurations and flow conditions for a plain-wall square duct. The deviations are around 6% for the Nusselt number (<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq6.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="36" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{N}\text{u}}_{\text{j}\text{e}\text{t}}\)</EquationSource> </InlineEquation>) and 3% for the friction factor (<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq7.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{f}}_{\text{j}\text{e}\text{t}}\)</EquationSource> </InlineEquation>), demonstrating the reliability of the CFD model. The <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq8.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="76" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:\text{T}\text{i}{\text{O}}_{2}/{\text{H}}_{2}\text{O}\)</EquationSource> </InlineEquation> nanofluid exhibits a notable enhancement in heat transfer performance compared to pure water. Variations in <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq9.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{H}}_{\text{j}\text{e}\text{t}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq10.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="70" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{P}}_{\text{s}\text{p}\text{a}\text{n}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq11.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="81" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{P}}_{\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation> significantly influence <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq12.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="36" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{N}\text{u}}_{\text{j}\text{e}\text{t}}\)</EquationSource> </InlineEquation>, with the optimal configuration (<InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq13.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{H}}_{\text{j}\text{e}\text{t}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation> = 0.5, <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq14.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="70" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{P}}_{\text{s}\text{p}\text{a}\text{n}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation> = 0.3, <InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq15.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="81" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{P}}_{\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation> = 0.97) yielding the highest heat transfer enhancement across most Reynolds numbers. The thermohydraulic performance parameter (THPP) ranges from 0.97 to 1.04, reaching its peak at Re = 8,000 for <InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq16.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{H}}_{\text{j}\text{e}\text{t}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation>= 0.5, <InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq17.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="70" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{P}}_{\text{s}\text{p}\text{a}\text{n}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation> = 0.3, <InlineEquation ID="IEq18"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92303_Article_IEq18.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="81" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{\text{P}}_{\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}/{\text{D}}_{\text{h}\text{d}}\)</EquationSource> </InlineEquation>= 0.97. These findings highlight the potential of impingement jet cooling with nanofluids for thermal management in industrial applications, offering enhanced heat transfer efficiency through direct fluid impact on target surfaces.</p>

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Impact of straight slot impingement jets on heat transfer enhancement of TiO2/H2O nanofluid flow in a square channel: CFD analysis

  • Anil Kumar,
  • Rajesh Maithani,
  • Sachin Sharma,
  • Ayushman Srivastav,
  • Tabish Alam,
  • Md Irfanul Haque Siddiqui,
  • Dan Dobrotă,
  • Nicolae-Florin Cofaru,
  • Intesaaf Ashraf

摘要

This study presents a computational fluid dynamics (CFD) analysis of heat transfer and pressure drop in a straight slot impingement jet, utilizing \(\:\text{T}\text{i}{\text{O}}_{2}/{\text{H}}_{2}\text{O}\) nanofluid within a square duct. The working fluid comprises \(\:\text{T}\text{i}{\text{O}}_{2}\) nanoparticles (diameter dp = 25 nm) suspended in water at a volume fraction (ϕ) of 2.5%. The investigation of different values of Reynolds numbers (Re) from 8,000 to 17,000, with variations in different geometrical parameters such as slot jet height ratio ( \(\:{\text{H}}_{\text{j}\text{e}\text{t}}/{\text{D}}_{\text{h}\text{d}}\) : 0.3–0.6), spanwise pitch ratio ( \(\:{\text{P}}_{\text{s}\text{p}\text{a}\text{n}}/{\text{D}}_{\text{h}\text{d}}\) : 0.18–0.45), and streamwise pitch ratio ( \(\:{\text{P}}_{\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}/{\text{D}}_{\text{h}\text{d}}\) : 0.88–1.30). Three-dimensional numerical simulations are conducted using the ANSYS CFD module, incorporating the RNG k-ε turbulence model to solve governing equations in a turbulent regime. The CFD results show strong agreement with both the experimental results and empirical correlations results with similar geometrical configurations and flow conditions for a plain-wall square duct. The deviations are around 6% for the Nusselt number ( \(\:{\text{N}\text{u}}_{\text{j}\text{e}\text{t}}\) ) and 3% for the friction factor ( \(\:{\text{f}}_{\text{j}\text{e}\text{t}}\) ), demonstrating the reliability of the CFD model. The \(\:\text{T}\text{i}{\text{O}}_{2}/{\text{H}}_{2}\text{O}\) nanofluid exhibits a notable enhancement in heat transfer performance compared to pure water. Variations in \(\:{\text{H}}_{\text{j}\text{e}\text{t}}/{\text{D}}_{\text{h}\text{d}}\) , \(\:{\text{P}}_{\text{s}\text{p}\text{a}\text{n}}/{\text{D}}_{\text{h}\text{d}}\) and \(\:{\text{P}}_{\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}/{\text{D}}_{\text{h}\text{d}}\) significantly influence \(\:{\text{N}\text{u}}_{\text{j}\text{e}\text{t}}\) , with the optimal configuration ( \(\:{\text{H}}_{\text{j}\text{e}\text{t}}/{\text{D}}_{\text{h}\text{d}}\) = 0.5, \(\:{\text{P}}_{\text{s}\text{p}\text{a}\text{n}}/{\text{D}}_{\text{h}\text{d}}\) = 0.3, \(\:{\text{P}}_{\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}/{\text{D}}_{\text{h}\text{d}}\) = 0.97) yielding the highest heat transfer enhancement across most Reynolds numbers. The thermohydraulic performance parameter (THPP) ranges from 0.97 to 1.04, reaching its peak at Re = 8,000 for \(\:{\text{H}}_{\text{j}\text{e}\text{t}}/{\text{D}}_{\text{h}\text{d}}\) = 0.5, \(\:{\text{P}}_{\text{s}\text{p}\text{a}\text{n}}/{\text{D}}_{\text{h}\text{d}}\) = 0.3, \(\:{\text{P}}_{\text{s}\text{t}\text{r}\text{e}\text{a}\text{m}}/{\text{D}}_{\text{h}\text{d}}\) = 0.97. These findings highlight the potential of impingement jet cooling with nanofluids for thermal management in industrial applications, offering enhanced heat transfer efficiency through direct fluid impact on target surfaces.