A Reproductive Property for a Class of Non-Newtonian Fluids

In this work we analyse a class of non-Newtonian reproductive fluid with a non-linear viscosity. The latter follows the power law or the Carreau's laws which is in common use for polymeric fluids. For a generalized data we introduce some special estimates and then obtain an existence result for the reproductive flow according to certain values of parameters appearing in the model.

Keywords:

• Reproductive Property
• Non-Newtonian Fluids
• Power And Carreau's Laws
• Weak And Strong Solutions
• Galerkin Approximation