<p>Research on the flow of liquids on stretching sheets has significant potential for several applications across various engineering and industrial processes. Hot rolling, wire drawing, and the extrusion of rubber and plastic sheets from a die are examples that include the elongation of sheet flows. Motivated by this, the present investigation explores the influence of non-uniform heat source/sink, chemical reaction, blowing/suction, and activation energy on the fluid flow across a nonlinear stretching sheet in the presence of porous media and magnetic field. Additionally, the significance of thermophoresis and Brownian motion is considered to assess the heat and mass transport features. The governing equations are transformed into ordinary differential equations (ODEs) from partial differential equations (PDEs) with the aid of similarity transformations. The resultant ODEs are numerically solved using Runge Kutta Fehlberg’s fourth-fifth order (RKF-45) approach. Graphical illustrations represent the significance of dimensionless parameters on the different profiles. The rise values of magnetic, porosity, and blowing/suction parameters decline the velocity profiles. As the values of space-dependent and temperature-dependent heat source/sink parameters rise, the thermal profile increases. The concentration profile increases as the values of activation energy and thermophoresis parameters intensify.</p>

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A steady magnetohydrodynamic flow of nanofluid over a nonlinear stretching sheet with porous media, nonuniform heat source/sink and binary chemical reaction effects

  • Om Prakash,
  • Abhayveer Singh,
  • Uma C. Kolli,
  • Chetana Gali,
  • Radha Gupta

摘要

Research on the flow of liquids on stretching sheets has significant potential for several applications across various engineering and industrial processes. Hot rolling, wire drawing, and the extrusion of rubber and plastic sheets from a die are examples that include the elongation of sheet flows. Motivated by this, the present investigation explores the influence of non-uniform heat source/sink, chemical reaction, blowing/suction, and activation energy on the fluid flow across a nonlinear stretching sheet in the presence of porous media and magnetic field. Additionally, the significance of thermophoresis and Brownian motion is considered to assess the heat and mass transport features. The governing equations are transformed into ordinary differential equations (ODEs) from partial differential equations (PDEs) with the aid of similarity transformations. The resultant ODEs are numerically solved using Runge Kutta Fehlberg’s fourth-fifth order (RKF-45) approach. Graphical illustrations represent the significance of dimensionless parameters on the different profiles. The rise values of magnetic, porosity, and blowing/suction parameters decline the velocity profiles. As the values of space-dependent and temperature-dependent heat source/sink parameters rise, the thermal profile increases. The concentration profile increases as the values of activation energy and thermophoresis parameters intensify.