| Summary: | 碩士 === 國立成功大學 === 機械工程研究所 === 83 === In this thesis the numerical results of steady-state lami- nar
natural convection of power-law non-Newtonian fluids along a
wavy vertical plate with uniform heat flux under magnetic field
effect are presented. By Prandtl''s transposition theorem, the
wavy surface can be transformed to a vertical flat plate, the
original governing equations to a parabolic-like boundary layer
equations. The former allows the boundary condition associated
with a complex wavy surface to be easily incorporated into any
numerical method. The transformed governing equations are
solved numerically using the cubic spline collocation method.
The results of di- mensionless velocity and temperature
profiles are presented graphically. It is found that the
presence of the wavy ampli- tude and magnetic filed is to
decelerate the flow thus decreas- ing the Nusselt number. The
effects of power-law flow index, dimensionless amplitude of the
wavy plate, magnetic field and Prandtl number are examined
respectively. Furthermore, the cubic spline collocation method
is briefly discussed.
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