<p>Owing to peak thermal impact, various investigations are performed on hybrid nanomaterials in current century. The extensive applications of hybrid nanofluids are observed in advanced thermal management systems, solar collectors, cooling of microelectronics, heat exchangers, etc. Motivated research presents a fractional mathematical model capturing the thermal aspects of Brinkman-type hybrid nanofluid in presence of mixed convection effects. A suspension of molybdenum disulfide <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14023_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="TEX">${\text{MoS}}_{2}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>MoS</mtext> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> and titanium dioxide <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14023_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="36" /> </InlineMediaObject> <EquationSource Format="TEX">${\text{TiO}}_{2}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>TiO</mtext> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> with water base fluid <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14023_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">${\text{H}}_{2}\text{O}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>H</mtext> <mn>2</mn> </msub> <mtext>O</mtext> </mrow> </math></EquationSource> </InlineEquation> is used for expression of hybrid nanofluid. The source of flow is oscillating plate. The magnetic force amplification is also considered. The analytical findings of problem are presented with help of Prabhakar fractional scheme. Graphical simulations are performed for modeled problem. The observations reflect a decrement in velocity due to Brinkman fluid parameter. The heat transfer enhances due to larger nanoparticles volume fraction. Based on claimed results, current problem conveying applications in energy systems, heat transfer enhancement, improving thermal efficiency of automobile engineering, etc.</p>

Enhanced heat transfer using nanofluids: a fractional Prabhakar derivative approach for Brinkman-type fluids

期刊论文
发表日期：

2025年2月8日

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Muhammad Irfan Qadir,
Usman Majeed,
Faheem ul Islam,
Ali Raza,
Sami Ullah Khan,
Nodira Nazarova,
Manish Gupta,
M. Ijaz Khan

摘要

Owing to peak thermal impact, various investigations are performed on hybrid nanomaterials in current century. The extensive applications of hybrid nanofluids are observed in advanced thermal management systems, solar collectors, cooling of microelectronics, heat exchangers, etc. Motivated research presents a fractional mathematical model capturing the thermal aspects of Brinkman-type hybrid nanofluid in presence of mixed convection effects. A suspension of molybdenum disulfide ${\text{MoS}}_{2}$ ${MoS}_{2}$ and titanium dioxide ${\text{TiO}}_{2}$ ${TiO}_{2}$ with water base fluid ${\text{H}}_{2}\text{O}$ $H_{2} O$ is used for expression of hybrid nanofluid. The source of flow is oscillating plate. The magnetic force amplification is also considered. The analytical findings of problem are presented with help of Prabhakar fractional scheme. Graphical simulations are performed for modeled problem. The observations reflect a decrement in velocity due to Brinkman fluid parameter. The heat transfer enhances due to larger nanoparticles volume fraction. Based on claimed results, current problem conveying applications in energy systems, heat transfer enhancement, improving thermal efficiency of automobile engineering, etc.