<p>This study explores the thermal enhancement of rotating magnetohydrodynamic water-based nanofluids containing single-wall (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(SWCNTs\)</EquationSource> </InlineEquation>), multi-wall carbon nanotubes (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(MWCNTs\)</EquationSource> </InlineEquation>), and a (<i>SWCNTs</i>-<i>MWCNTs</i>) hybrid nanofluid over a stretching sheet. The main aim of this article is to enhance the efficiency of the thermal transport due to the carbon nanotubes thermal conductivity. The governing three-dimensional PDEs for momentum, energy, mass transfer, and microorganism are transformed into set of nonlinear ODEs by utilizing similarity functions. The resulting nonlinear ODEs are solved numerically using bvp4c package based on fourth-order Runge–Kutta (RK4) method with MATLAB platform. The graphical and tabulating outcomes of various physical parameters are used to reveal the sensitivity of the flow, heat and mass transfer properties, and comparison of current work. Through our results, the increment of magnetic parameter <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(M\)</EquationSource> </InlineEquation>, porosity parameter <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(K\)</EquationSource> </InlineEquation>, and rotation parameter <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\lambda \)</EquationSource> </InlineEquation> declines the velocity of the base fluid along the <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(x\)</EquationSource> </InlineEquation>-direction, while the opposite behavior is observed along the <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(y\)</EquationSource> </InlineEquation>-direction. Additionally, the velocities along <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(x\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(y\)</EquationSource> </InlineEquation>-direction, temperature profile, and motile microorganism distributions of nanofluids are found to be lower than those of hybrid nanofluids, while the volumetric solutal distribution is found to be higher.</p>

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Analysis of Rotating MHD Flow of Single-Wall and Multi-Wall Carbon Nanotubes Hybrid Nanofluid Filled with Water Based Fluid in a Porous Medium over a Stretching Sheet

  • Muhammad Waseem,
  • Muhammad Imran,
  • Mohsan Raza,
  • Akhtar Ali

摘要

This study explores the thermal enhancement of rotating magnetohydrodynamic water-based nanofluids containing single-wall ( \(SWCNTs\) ), multi-wall carbon nanotubes ( \(MWCNTs\) ), and a (SWCNTs-MWCNTs) hybrid nanofluid over a stretching sheet. The main aim of this article is to enhance the efficiency of the thermal transport due to the carbon nanotubes thermal conductivity. The governing three-dimensional PDEs for momentum, energy, mass transfer, and microorganism are transformed into set of nonlinear ODEs by utilizing similarity functions. The resulting nonlinear ODEs are solved numerically using bvp4c package based on fourth-order Runge–Kutta (RK4) method with MATLAB platform. The graphical and tabulating outcomes of various physical parameters are used to reveal the sensitivity of the flow, heat and mass transfer properties, and comparison of current work. Through our results, the increment of magnetic parameter \(M\) , porosity parameter \(K\) , and rotation parameter \(\lambda \) declines the velocity of the base fluid along the \(x\) -direction, while the opposite behavior is observed along the \(y\) -direction. Additionally, the velocities along \(x\) , \(y\) -direction, temperature profile, and motile microorganism distributions of nanofluids are found to be lower than those of hybrid nanofluids, while the volumetric solutal distribution is found to be higher.