Natural Convection of Non-Newtonian Fluids Along a Wavy Vertical Plate With Uniform Heat Flux Under Magnetic Field Effect

• Main Authors: Guo-Wei Wu, 吳國維
• Other Authors: Cha''o-Kuang Chen
• Format: Others
• Language: zh-TW
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/53532782707884575304

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.