MUTUAL INTERDEPENDENCE OF THE PHYSICAL PARAMETERS GOVERNING THE BOUNDARY-LAYER FLOW OF NON-NEWTONIAN FLUIDS
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Date
2022-05-23
Authors
Al-Ashhab, Samer
Wei, Dongming
Alyami, Salem A.
Azad, AKM
Moni, Mohammad Ali
Journal Title
Journal ISSN
Volume Title
Publisher
Applied Sciences
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.
Description
Keywords
Type of access: Open Access, boundary-layer flow, non-Newtonian fluid, power-law model, non-linear, singularity, semi-infinite domain, boundary-value problem
Citation
Al-Ashhab, S., Wei, D., Alyami, S. A., Azad, A., & Moni, M. A. (2022). Mutual Interdependence of the Physical Parameters Governing the Boundary-Layer Flow of Non-Newtonian Fluids. Applied Sciences, 12(10), 5275. https://doi.org/10.3390/app12105275