Computational analysis of radiative heat transfer and free convective flow over a vertical wavy surface with Lorentz forces

In several engineering systems, wavy surfaces are utilized to enhance thermal distribution such as heat exchangers and aerodynamics and drag control. However, when radiative heat transfer, heat generation and magnetic fields are considered, velocity and thermal distribution become more difficult, making it significant to understand their combined influences for improved heat transfer. Therefore, this problem focuses on the flow rate, isotherms, streamlines and thermal distribution of the hydromagnetic fluid flow over a wavy surface subjected to a constant heat flux with radiative heat transfer and magnetic fields influence. The impermeable wavy texture is considered to be heated via a constant heat flux, which supplies the fluid a consistent source of heating energy. The transformed nonlinear governing equations are solved numerically using a robust and efficient computational scheme known as the Spectral Quasi-Linearization Method (SQLM), implemented in Wolfram Mathematica to ensure precise and reliable solutions to the physical problem. The numerical outcomes obtained in the present study are validated through comparison with previously published results, showing excellent agreement and good concordance. This consistency confirms the reliability, effectiveness, and accuracy of the adopted numerical methodology. The findings display that radiation–conduction parameter enhance the thermal distribution within the boundary layer, whereas the amplitude of waviness tends to reduce the fluid velocity.