This special issue calls for papers focusing on recent developments and findings in mathematical models and numerical methods, with application of the AI/ML based approaches for solving the governing partial differential equations that describe heat and fluid flow in various systems. It aims to assess the impact of different parameters on heat and fluid flow processes. This special issue provides a common platform for researchers, academicians, and industrialists working on computational methods for mathematical models related to heat, fluid flow and related topics with applications. It also emphasizes the careful selection of high-quality papers for publication in this journal.
This special issue has upheld high academic standards by subjecting every submission to a rigorous review process before acceptance by the International Journal of Numerical Methods for Heat & Fluid Flow. Total 98 papers were submitted for possible publication, and 13 papers are chosen for the special issue. This results in an acceptance rate of around 13%, highlighting the high quality and relevance of the selected contributions and reflecting the dedication of our scholarly reviewers. The accepted papers in this special issue focus on computational methods for models related to diffusion-wave equations in fluid flow (Burman et al., 2025), applications of neural networks for diffusion equations and differential equations with implicit boundary conditions (Dey and Dubey, 2025; Jha and Mallik 2025), convection-diffusion problems addressed using Radial Basis Functions (RBF) and the finite volume method, along with a study of boundary and interior layer phenomena (Garg and Sekhar, 2025; Rathish Kumar and Pandey, 2025; Jaiswal et al., 2025), two-phase free boundary problems with MPC material (Jain and Joshi, 2025) and their applications in viscoelastic fluids within a diverging channel (Kumar et al., 2025), analysis of Darcy-Forchheimer porous medium over a rotating shrinking disk (Mandal and Pal, 2025), investigation of cloud seeding to maximize agricultural crop yields (Misra et al., 2025), studies on membrane-driven flow and heat transfer of viscoelastic fluids (Pandey et al., 2025), examination of wind fields in single-cell tornado-like vortices (Pandey, 2025), and exploration of electroosmosis modulated peristaltic rheological flow through a nonuniform channel (Sk and Chaube, 2025).
This special issue features important contributions from researchers who presented their work at the international conference RAAM 2024, thereby making a substantial impact on this journal. The guest editors sincerely thank all the authors for their valuable submissions and the anonymous reviewers for their dedicated time and efforts in maintaining the quality of the published articles. The guest editors are thankful to the Editor-in-chief, Prof. R. W. Lewis, editorial staff Dr Sherry Xu and the editorial team members for their timely suggestions in successfully completing this special issue.
