Numerical Solutions of Blood Flow in the Entrance of a Tube
Hydrodynamic boundary layer predictions are obtained in the entrance region of a tube for non-Newtonian fluids like blood which obey Casson’s stress-strain relation. The numerical procedure used is that of Patankar and Spalding . The mathematical accuracy of the numerical procedure is demonstrated by comparing the fully developed velocity profiles with the known analytical solutions. In addition the results of the numerical solution for the case of yield stress equal to zero are compared with the available entrance flow solution for Newtonian fluids. Detailed results are presented for a wide range of yield numbers.
KeywordsNewtonian Fluid Entrance Region Total Pressure Drop Yield Number Develop Velocity Profile
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