Asymptotic Behaviour and Existence of Similarity Solutions for a Boundary Layer Flow Problem


  • Samer Al-Ashhab


Asymptotic behaviour, Boundary layer flow, Existence of solutions, Power law fluid, Singular non-linear boundary value problem.


The problem of boundary layer flow of a non-Newtonian power-law fluid (which is assumed to be incompressible) is considered. Existence and uniqueness of similarity solutions are considered for all values of the power-law index $n>0$. Conditions are determined (values of $n$ and various parameters within the problem) where existence and uniqueness of solutions hold and where they do not hold. Exact solutions in some cases are exhibited. The asymptotic behaviour of solutions is also determined for all values of $n>0$ of the non-Newtonian fluid.


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