Abstract:
We consider non-Newtonian boundary-layer fluid flow, governed by a power-law OstwalddeWaele
rheology. Boundary-layer flows of non-Newtonian fluids have far-reaching applications,
and are very frequently encountered in physical, as well as, engineering and industrial processes.
A similarity transformation results in a BVP consisting of an ODE and some boundary conditions.
Our aim is to derive highly accurate analytical relationships between the physical and mathematical
parameters associated with the BVP and boundary-layer flow problem. Mathematical analyses
are employed, where the results are verified at the numerical computational level, illustrating the
accuracy of the derived relations. A set of “Crocco variables” is used to transform the problem, and,
where appropriate, techniques are used to deal with the resulting singularities in order to establish
an efficient computational setting. The resulting computational setting provides an alternative,
which is different from those previously used in the literature. We employ it to carry out our
numerical computations.