Analytical and numerical methods for the momentum, species concentration and energy equations of a viscous incompressible fluid along a vertical plate

作者：Samaan Angail A^*

来源：Nuovo Cimento della Societa Italiana di Fisica B-Basic Topics in Physics, 2010, 125(4): 439-455.

DOI：10.1393/ncb/i2010-10890-6

Analytical and numerical solutions for the momentum and boundary layer equations of a viscous incompressible fluid are presented An analysis is carried out. to study the variable viscosity and thermal diffusivity effects on the flow The governing boundary layer equations ale written into a non-dimensionless for in by similarity transformations The transformed coupled differential equations are solved numerically by using the shooting method Euler's transformation has been used to improve the analytical solution towards the numerical solution The results show rather good agreement between the analytical and numerical solution near the plate The effects of different parameters on the dimensionless temperature and concentration profiles ale shown graphically Also, it is established that both analytical and numerical solutions must be used together to solve such problems

• 出版日期2010-4