Unsteady MHD free convective flow past a vertical plate: An automated solution approach

Nor Raihan Mohmad Asimoni (Department of Computational and Theoretical Sciences, Kulliyyah of Science, International Islamic University Malaysia)
Nurul Farahain Mohammad (Department of Computational and Theoretical Sciences, Kulliyyah of Science, International Islamic University Malaysia)
Abdul Rahman Mohd Kasim (Centre for Mathematical Sciences, College of Computing and Applied Sciences, Universiti Malaysia Pahang)

Annals of Mathematical Modeling
Vol 1, No 2 (2019)

The case of unsteady two-dimensional laminar free convection flow over a vertical plate by an incompressible viscous fluid is analysed in the presence of uniform magnetic field perpendicular to the flow. The governing equations in a vector form are transformed into non-dimensional form. Then, the dimensionless equations are solved using automated solution technique which is FEniCS. The effects of magnetic parameter on the velocity and temperature profiles are obtained and discussed in this paper.