<p>In the present work, a steady-state heat transfer analysis of a plastic nanofluid flow in a circular microchannel subject to Navier’s lip slip-flow and uniform heat flux conditions is theoretically conducted. The Bingham model was used to describe the rheological behavior of the plastic nanofluid. For this analysis, the physical properties of nanofluids, such as viscosity, density, thermal conductivity, and specific heat, were assumed to be constant for a fixed volume fraction. The mean temperature determines the temperature profile and Nusselt number in terms of nanofluid viscosity, yield stress, and slip length. The main results reveal that for a dimensionless slip length of 0.1 and the maximum value allowed of the volume fraction <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40430_2025_5757_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">\(\phi\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϕ</mi> </math></EquationSource> </InlineEquation>, the Nusselt number increases. In addition, an expression for the friction factor of a plastic nanofluid was defined and compared with that of a low-yield stress nanofluid.</p>

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The effect of Navier’s slip on the plastic nanofluid flow in a microchannel under a constant heat flux condition

  • Jorge A. Ojeda,
  • Federico Méndez

摘要

In the present work, a steady-state heat transfer analysis of a plastic nanofluid flow in a circular microchannel subject to Navier’s lip slip-flow and uniform heat flux conditions is theoretically conducted. The Bingham model was used to describe the rheological behavior of the plastic nanofluid. For this analysis, the physical properties of nanofluids, such as viscosity, density, thermal conductivity, and specific heat, were assumed to be constant for a fixed volume fraction. The mean temperature determines the temperature profile and Nusselt number in terms of nanofluid viscosity, yield stress, and slip length. The main results reveal that for a dimensionless slip length of 0.1 and the maximum value allowed of the volume fraction \(\phi\) ϕ , the Nusselt number increases. In addition, an expression for the friction factor of a plastic nanofluid was defined and compared with that of a low-yield stress nanofluid.