GROUP METHOD ANALYSIS OF STEADY FREE-CONVECTIVE LAMINAR BOUNDARY-LAYER FLOW ON A NONISOTHERMAL VERTICAL CIRCULAR-CYLINDER

[摘要] The general analysis of transformation group method has been developed to study fluid flow and heat transfer characteristics for steady laminar free convection on vertical circular cylinder. The application of one-parameter group reduces the number of independent variables by one, and consequently the system of the governing partial differential equations with the boundary conditions reduces to a system of ordinary differential equations with the appropriate boundary conditions. The form of the surface temperature variation is derived as a linear variation with the vertical coordinate. The system of ordinary differential equations is solved numerically using a fourth-order Runge-Kutta scheme and the gradient method. Of interest are the effects of the cylinder heating mode and the Prandtl number on the velocity and temperature profiles. The computer results of the numerical solution have been presented in diagrams. It has been found that the maximum value of the vertical component of the velocity decreases with the increase of both the Prandtl number and the surface temperature.

[发布日期] 1991-08-27

[关键词] ONE-PARAMETER GROUP METHOD;PRANDTL NUMBER;RUNGE-KUTTA SCHEME;GRADIENT METHOD;FLOW REVERSAL;HEATED VERTICAL CYLINDER