Abstract
A method using a spectral finite difference method to a multiply-connected region in an infinite extension of natural convection is considered. A boundary-fitted coordinate system to a boundary value problem is formed, using a Jacobian elliptic function (sn). Fluid is assumed to be rest and at an uniform temperature at infinity, which can be satisfied automatically by a charicteristic of the mapping function. A significant difference between the surface temperatures of bodies is assigned. Presented are streamlines, isotherms, drag & lift coefficients, and mean Nusselt numbers in a steady-state for a variety of dimensionless parameters such as a Grashof number, a Prandtl number, and fin length. Extensive effectiveness of a spectral finite difference method is established also in a multiply-connected region, taking into account the condition of multiply-connected regions and an infinite extension.
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