Micropolarity Effects on the Bickley-Plane-Laminar-Jet
In this study, it was formulated the boundary-value-problem (BVP), comprising partial differential equations (PDEs), of steady flow for plane, laminar jet of a micropolar fluid. A new similarity transformation/solution was derived which is valid not only for the Newtonian fluids but also for the mic...
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Zusammenfassung: | In this study, it was formulated the boundary-value-problem (BVP), comprising
partial differential equations (PDEs), of steady flow for plane, laminar jet of
a micropolar fluid. A new similarity transformation/solution was derived which
is valid not only for the Newtonian fluids but also for the micropolar fluids.
Obviously, this transformation will be transformed the PDEs into the ordinary
differential equations (ODEs). These ODEs were solved numerically by the finite
difference method. The obtained results were compared with existing results [1,
12] for the Newtonian fluids. The comparison was favourable. As the aciculate
particles in a micropolar fluid can rotate without translation, the
micropolarity effects must have influence on fluid-speed, microrotation,
stresses, couple stresses and discharge. This influence was highlighted in the
present study. If viscosity coupling parameter K1 (being the measure of
micropolarity) increases then microrotation, fluid-flux, stresses and couple
stresses intensify in the vicinity of the jet along y-direction. The
fluid-flux, , for a fixed value of K1 and for the micropolar as well as
Newtonian fluids. In addition, the stress and the couple stress tensors are
non-symmetric. |
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DOI: | 10.48550/arxiv.1511.01077 |