<p>An investigation was carried out on the characteristics of steady two-dimensional boundary-layer flow, heat transfer, and mass transfer for an incompressible electrically conducting Burgers’ nanofluid over a nonlinear stretching sheet including an induced magnetic field, thermal radiation and first-order chemical reaction. Nanoparticle transport is modeled by using the Buongiorno nanofluid model considering Brownian motion and thermophoretic effects. Using appropriate similarity transformations associated with the nonlinear stretching velocity <InlineEquation ID="IEq1"><EquationSource Format="TEX">\(\:{U}_{w\left(x\right)}=\:{ax}^{m}\)</EquationSource></InlineEquation>to reduce the governing partial differential equations to a system of nonlinear ordinary differential equations. The resulting boundary value problem is solved numerically with a shooting technique combined with the fourth-order Runge–Kutta method and Newton–Raphson iteration. The numerical method is validated by comparing the results found in the present work with published results in limiting cases, with excellent agreement found. It is found that the magnetic parameter decreases the velocity profile significantly as a result of Lorentz force whereas affecting thermal radiation, Brownian motion and thermophoresis parameters increases temperature distribution in boundary layer. Also, an escalation of Schmidt number and chemical reaction parameter reduces the concentration profile. The performance of the skin-friction coefficient, Nusselt number and Sherwood number are examined in detail. The results of this study are applicable to systems such as polymer extrusion processes, thermal management systems, electromagnetic flow control and nanofluid-based cooling technologies.</p>

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Numerical investigation of radiative chemically reactive induced-mhd burgers’ nanofluid flow over a nonlinear stretching sheet

  • R. Kavitha,
  • Ravi Samikannu,
  • Nyagong Santino David Ladu

摘要

An investigation was carried out on the characteristics of steady two-dimensional boundary-layer flow, heat transfer, and mass transfer for an incompressible electrically conducting Burgers’ nanofluid over a nonlinear stretching sheet including an induced magnetic field, thermal radiation and first-order chemical reaction. Nanoparticle transport is modeled by using the Buongiorno nanofluid model considering Brownian motion and thermophoretic effects. Using appropriate similarity transformations associated with the nonlinear stretching velocity \(\:{U}_{w\left(x\right)}=\:{ax}^{m}\)to reduce the governing partial differential equations to a system of nonlinear ordinary differential equations. The resulting boundary value problem is solved numerically with a shooting technique combined with the fourth-order Runge–Kutta method and Newton–Raphson iteration. The numerical method is validated by comparing the results found in the present work with published results in limiting cases, with excellent agreement found. It is found that the magnetic parameter decreases the velocity profile significantly as a result of Lorentz force whereas affecting thermal radiation, Brownian motion and thermophoresis parameters increases temperature distribution in boundary layer. Also, an escalation of Schmidt number and chemical reaction parameter reduces the concentration profile. The performance of the skin-friction coefficient, Nusselt number and Sherwood number are examined in detail. The results of this study are applicable to systems such as polymer extrusion processes, thermal management systems, electromagnetic flow control and nanofluid-based cooling technologies.