<p>The flow of mixed two-layered, micropolar fluid comprising nanoparticles across a permeable stenosed artery is examined through a theoretical modeling. In a stenosed artery, the fluid flow going through two regions (specifically, the Peripheral and Core) is considered to be most illustrated by a two-layered model. The fluid in the peripheral layer is a Newtonian fluid, whereas the micropolar fluid containing nanoparticles in the core region performs as a non-Newtonian fluid. The closed expressions of flow characteristics, like axial velocity profile, flow resistance, shear stress, temperature profile and concentration distribution are found to determine the governing equations using Homotopy Perturbation Method with the assumption of mild stenosis. The significance of flow properties on flow conformation, wall shear stress and velocity profiles are discussed graphically. A remarkable conclusion is that, the axial velocity profile with the increase of local nanoparticle Grashof number <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40819_2025_1841_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\((B_r)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msub> <mi>B</mi> <mi>r</mi> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> is found increasing in the region <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40819_2025_1841_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="37" /> </InlineMediaObject> <EquationSource Format="TEX">\(-0.5\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo>-</mo> <mn>0.5</mn> </mrow> </math></EquationSource> </InlineEquation> to 0.5 and decreasing in the other region. To investigate the properties and fluid flow pattern of momentum transfer, streamlines are drawn.</p>

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Effect of Permeability on Micropolar Fluid with Nanoparticles Flowing Through a Core Region in a Stenosed Artery

  • Bheema Sreekala,
  • K. Maruthi Prasad,
  • Prabhaker Reddy Yasa

摘要

The flow of mixed two-layered, micropolar fluid comprising nanoparticles across a permeable stenosed artery is examined through a theoretical modeling. In a stenosed artery, the fluid flow going through two regions (specifically, the Peripheral and Core) is considered to be most illustrated by a two-layered model. The fluid in the peripheral layer is a Newtonian fluid, whereas the micropolar fluid containing nanoparticles in the core region performs as a non-Newtonian fluid. The closed expressions of flow characteristics, like axial velocity profile, flow resistance, shear stress, temperature profile and concentration distribution are found to determine the governing equations using Homotopy Perturbation Method with the assumption of mild stenosis. The significance of flow properties on flow conformation, wall shear stress and velocity profiles are discussed graphically. A remarkable conclusion is that, the axial velocity profile with the increase of local nanoparticle Grashof number \((B_r)\) ( B r ) is found increasing in the region \(-0.5\) - 0.5 to 0.5 and decreasing in the other region. To investigate the properties and fluid flow pattern of momentum transfer, streamlines are drawn.