Chapter 8. Fluid Mechanics
Laminar Flow of a Newtonian Fluid in a Horizontal Pipe
Solution of momentum balance to obtain shear stress and velocity profiles for a Newtonian fluid in laminar flow in a horizontal pipe and comparison of numerical and analytical solutions.
Numerical Methods Utilized
Solution of simultaneous first order ordinary differential equations employing a shooting technique to converge on the desired boundary conditions, use of combined variables, and avoidance of division by zero in calculating expressions.
An incompressible Newtonian fluid is flowing at steady state inside a horizontal circular pipe at constant temperature. This flow is fully developed so that the velocity profile does not ...