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<p>This work explores heat transfer features in CNT/sodium alginate nanofluid motion over an exponentially stretching sheet, with an exponentially variable heat source, an inclined magnetic field, and Joule heating. Flow dynamics and heat transfer processes are also analyzed using suction and slip velocities. The transformed nonlinear equations are computed numerically through the shooting technique combined with the fourth-order Runge–Kutta scheme. Heat flux distributions at the stretching sheet for different operating conditions are examined. The study describes additional outcomes that substantiate the influence of these parameters on temperature distribution and flow characteristics, thereby providing strategies to enhance thermal management efficiency in industrial applications. CNT nanoparticles increase the thermal efficiency of sodium alginate fluid, enhancing Brownian motion and increasing thermal conductivity. The oblique magnetic field produces a Lorentz force that reduces fluid velocity and alters the temperature distribution. Exponential heat generation and viscous dissipation enhance internal energy, improving the thermal profiles. Increased magnetic intensity and inclination raise surface drag due to enhanced resistive electromagnetic forces. Our results indicate that increasing the magnetic parameter from 2.1 to 2.9 raises the skin friction coefficient by about 4.07%, while increasing the nanoparticle concentration from 0.05 to 0.15 enhances it by nearly 30.59%. The present findings could be applied in various engineering fields where controlling heat transfer processes over stretched surfaces is important.</p>

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Analyzing thermal synergies in magnetically treated nanofluid encountering exponential heat sources and heat flux boundary environments

  • 期刊论文

  • 发表日期：

    2026年7月2日

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  • Debasish Gorai,
  • Sandip Chowdhury,
  • Kalidas Das

摘要

This work explores heat transfer features in CNT/sodium alginate nanofluid motion over an exponentially stretching sheet, with an exponentially variable heat source, an inclined magnetic field, and Joule heating. Flow dynamics and heat transfer processes are also analyzed using suction and slip velocities. The transformed nonlinear equations are computed numerically through the shooting technique combined with the fourth-order Runge–Kutta scheme. Heat flux distributions at the stretching sheet for different operating conditions are examined. The study describes additional outcomes that substantiate the influence of these parameters on temperature distribution and flow characteristics, thereby providing strategies to enhance thermal management efficiency in industrial applications. CNT nanoparticles increase the thermal efficiency of sodium alginate fluid, enhancing Brownian motion and increasing thermal conductivity. The oblique magnetic field produces a Lorentz force that reduces fluid velocity and alters the temperature distribution. Exponential heat generation and viscous dissipation enhance internal energy, improving the thermal profiles. Increased magnetic intensity and inclination raise surface drag due to enhanced resistive electromagnetic forces. Our results indicate that increasing the magnetic parameter from 2.1 to 2.9 raises the skin friction coefficient by about 4.07%, while increasing the nanoparticle concentration from 0.05 to 0.15 enhances it by nearly 30.59%. The present findings could be applied in various engineering fields where controlling heat transfer processes over stretched surfaces is important.