Mathematical modelling of Transient Free Convection MHD Flow Past a
Vertical Plate with Periodic Temperature Using Homotopy Perturbation
Method
- E. Arul Vijayalakshmi,
- M. Kannan
M. Kannan
Government Arts College, Ariyalur, Affiliated to Bharathidasan University
Author ProfileAbstract
A mathematical model is used to study the effect of the magnetic field
on the temporary free convection flow of the electrically conductive
fluid past the vertical plate under periodic temperature. The governing
momentum and energy equations are solved analytically using the homotopy
perturbation method. An approximate analytical solution using Homotopy
perturbation method and Laplace transform is carried out for temperature
profile in case of constant plate temperature. The results are obtained
the analytical and limiting case results ones, and a good agreement is
achieved. The effect of different physical parameters on transient
velocity and temperature, such as Grashof number, magnetic parameter,
Prandtl number and temperature frequency, is examined. Also, the local
Skin-friction and local Nusselt number coefficients are obtained and
analyzed.