Abstract
A hydromagnetic free convection flow has been modeled and simulated. The flow is considered unsteady, near a moving infinite flat plate in a rotating fluid. For the radiative heat transfer to be significant, very high temperatures are involved rendering the problem highly non-linear. The simulation is based on a generic finite element scheme coupled with a stepwise Lagrange polynomial. The equations and other parameters entering into the description of the flow are transformed into interpretable postfix codes. Numerical values are computed for the temperature and velocity distributions. The results obtained are depicted graphically and discussed.
Highlights
The study of the magnetohydrodynamic flows is important because of its enormous applications in magnetohydrodynamic electrical power generation, geophysics, etc
In both cases, the primary velocity profile (u) changes insignificantly due to an increase in the radiation parameter (R). It increases with an increase in the rotation parameter (E) and the time (t) whereas it falls with an increase in the Grashof number (Gr)
An increase in the Prandtl number (Pr) leads to a fall in the primary velocity profile (u) in the first case; it leads to a rise in the primary velocity profile (u) in the second case
Summary
The study of the magnetohydrodynamic flows is important because of its enormous applications in magnetohydrodynamic electrical power generation, geophysics, etc. The investigated flow was in the presence of mass and heat transfer They observed that their numerical solution is in good agreement with the analytical solutions. Hossain et al (2015) made use of the Galerkin finite element method to investigate a Magnetohydrodynamic problem. Though the regularity of the problem is an important issue, we are proposing to solve a fluid flow problem with a generic computer tool using the Galerkin finite element scheme to compute the nodal values and generate the results from a stepwise Lagrange polynomial. Using the Galerkin method on a 64 elements mesh, we obtain the initial value d1 given by: To compute these solutions, we need to solve Equations 1 and 2 by constructing their quasi-variational equivalent to obtain Equations 14 and 15:. All input elements are transformed into interpretable postfix codes which are used for computation purposes
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