Group approach techniques are used to solve laminar MHD free convection flow from a vertical cone with non-uniform surface heat flux

Authors

  • T. Maheshwaran SRM Institute of Science and Technology, Kattankulathur
  • Bapuji Pullepu
  • Perumal Supriya
  • Shyam Sundar Santra JIS College of Engineering
  • Hammad Alotaibi Taif University image/svg+xml
  • Susmay Nandi UPES

DOI:

https://doi.org/10.52292/j.laar.2026.3650

Keywords:

Vertical cone, Natural convection, MHD, group method, Heat transfer

Abstract

This paper develops a Group transformation to formulate the laminar natural convection phenomenon, which involves a magnetic field perpendicular to the surface, incompressible fluid, viscosity, as well as a vertically oriented cone on a surface in which the variations in thermal flux are governed by a power function of the length from the cone tip (x=0). The ODEs with corresponding appropriate conditions are reduced from non-dimensional governing PDEs with boundary conditions. The R-K approach based on the shooting technique was used to solve the non-linear ODEs. We visually inspected the temperature and velocity fields for different Prandtl numbers (Pr), the exponent m value, and the magnetic parameter (M) values.

Downloads

Published

2026-01-23

Issue

Vol. 56 No. 1 (2026): Latin American Applied Research

Section

Heat and Mass Transfer

License

Copyright (c) 2026 Latin American Applied Research - An international journal

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Once a paper is accepted for publication, the author is assumed to have transferred its copyright to the Publisher. The Publisher will not, however, put any limitation on the personal freedom of the author to use material from the paper in other publications. From September 2019 it is required that authors explicitly sign a copyright release form before their paper gets published. The Author Copyright Release form can be found here