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- Title
Efficient Large Spectral Collocation Method for MHD Laminar Natural Convection Flow from a Vertical Permeable Flat Plate with Uniform Surface Temperature, Soret, Dufour, Chemical Reaction and Thermal Radiation.
- Authors
Agbaje, Titilayo Morenike; Motsa, Sandile Sydney; Leach, Peter; Sibanda, Precious
- Abstract
In this work, the three-dimensional steady natural convection boundary layer Dow of an electrically conducting and viscous incompreuible Duid is studied. The coupled nonlinear partial differential equations that describe the Dow have been solved using a recently developed large parameter spectral perturbation method (LSPM). This method bas not been used before in the literature to obtain numerical solutions of three dimensional MHD laminar natural convection Dow with Soret and Dufour effects. The partial ditTerential equations that defines the problem under investigation are highly coupled and nonlinear. Hence they cannot be solved analytically using series-based methods. Indeed, validation of this numerical method for general Duid flows, or heat and mass transfer problems has not yet been done. This work explores and evaluates the accuracy and robustness of the large parameter spectral perturbation in finding solutions of coupled nonlinear partial differential equations.
- Subjects
HEAT radiation &; absorption; SURFACE plates; COLLOCATION methods; MAGNETOHYDRODYNAMICS; SURFACE temperature; PARTIAL differential equations; NATURAL heat convection
- Publication
IAENG International Journal of Applied Mathematics, 2020, Vol 50, Issue 3, p181
- ISSN
1992-9978
- Publication type
Article