Purpose <p>This study investigates the thermal boundary-layer behavior of an electrically conducting viscoelastic Maxwell fluid in both Blasius and Sakiadis flow configurations, considering the combined effects of magnetic fields, porous media, and non-uniform heat sources or sinks.</p> Methodology <p>The governing equations, incorporating thermal relaxation and radiation effects, are transformed into a dimensionless form using similarity transformations. Numerical solutions are obtained via MATLAB’s boundary value problem solver. Key dimensionless parameters analyzed include the Deborah number, magnetic field intensity, porosity factor, Eckert number, and thermal generation or absorption coefficients.</p> Findings <p>Results indicate that viscoelasticity and magnetic field effects significantly influence velocity and temperature distributions. The magnetic field suppresses fluid motionwhile enhancing thermal energy within the boundary layer. Thermal radiation and heat generation parameters increase both temperature profiles and thermal boundary-layer thickness. Porosity and thermal relaxation introduce more complex behaviors, affecting momentum and energy transport.</p> Practical Implications <p>The findings provide valuable insights for optimizing heat transfer in industrial and engineering applications involving non-Newtonian fluids, such as polymer processing, cooling of electromagnetic devices, and heat exchangers operating in porous environments.</p>

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Thermal Boundary Layer Dynamics of Electrically Conducting Viscoelastic Fluids in Blasius and Sakiadis Flows: Radiation Effects Phenomenon

  • Aparna N. Shendkar,
  • Pradeep G. Janthe,
  • Jagadish V. Tawade,
  • N. Beemkumar,
  • Vatsal Jain,
  • Nitiraj V. Kulkarni,
  • Barno Abdullaeva,
  • Meznah M. Alanazi,
  • Nadia Batool

摘要

Purpose

This study investigates the thermal boundary-layer behavior of an electrically conducting viscoelastic Maxwell fluid in both Blasius and Sakiadis flow configurations, considering the combined effects of magnetic fields, porous media, and non-uniform heat sources or sinks.

Methodology

The governing equations, incorporating thermal relaxation and radiation effects, are transformed into a dimensionless form using similarity transformations. Numerical solutions are obtained via MATLAB’s boundary value problem solver. Key dimensionless parameters analyzed include the Deborah number, magnetic field intensity, porosity factor, Eckert number, and thermal generation or absorption coefficients.

Findings

Results indicate that viscoelasticity and magnetic field effects significantly influence velocity and temperature distributions. The magnetic field suppresses fluid motionwhile enhancing thermal energy within the boundary layer. Thermal radiation and heat generation parameters increase both temperature profiles and thermal boundary-layer thickness. Porosity and thermal relaxation introduce more complex behaviors, affecting momentum and energy transport.

Practical Implications

The findings provide valuable insights for optimizing heat transfer in industrial and engineering applications involving non-Newtonian fluids, such as polymer processing, cooling of electromagnetic devices, and heat exchangers operating in porous environments.