Group method analysis of unsteady free-convective laminar boundary-layer flow on a nonisothermal vertical flat plate

✍ Scribed by M. B. Abd-El-Malek; Y. Z. Boutros; N. A. Badran

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 940 KB
• Volume: 24
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00130688

✦ Synopsis

The transformation group theoretic approach is applied to present an analysis of the problem of unsteady laminar free convection from a non-isothermal vertical flat plate. The application of two-parameter groups reduces the number of independent variables by two, and consequently the system of governing partial differential equations with boundary conditions reduces to a system of ordinary differential equations with appropriate boundary conditions. The possible forms of surface-temperature variations with position and time are derived. The ordinary differential equations are solved numerically using a fourth-order Runge-Kutta scheme and the gradient method. The heat-transfer characteristics for finite values of the Prandtl number Pr are presented, as temperature and velocity distributions.