Appendix 7.2 Code for Example

Range( A CStr(ip) ). Select ActiveCell.FormulaRlCl = Rtime Range( B CStr(ip)).Select ActiveCell. FormulaRlCl = y(2)/(y(l) + y(2)) 

1 ISOTHERMAL LAMINAR FLOW WITH NEGLIGIBLE DIFFUSION 

Consider isothermal laminar flow of a Newtonian fluid in a circular tube of radius R, length L, and average fluid velocity u. When the viscosity is constant, the axial velocity profile is 

This result is reminiscent of Equation (1.36). We have replaced the average velocity with the velocity corresponding to a particular streamline. Equation (8.2) is written as a partial differential equation to emphasize the fact that the concentration a = a(r, z) is a function of both r and However, Equation (8.2) can be integrated as though it were an ordinary differential equation. The inlet boundary 

---