Abstract
The unsteady stokes flow of incompressible micropolar fluid between two porous plates is considered. The lower plate is subjected to periodic suction and different periodic injection is applied at the upper plate. Stream function for the flow is obtained and the variation of velocity function f & g with is shown graphically. The effects of the dimensionless parameters p, frequency parameter pt , micropolarity parameter pl and the microrotation parameter pj on the velocity functions f and microrotation velocity function g are discussed and shown through the graphs.
Highlights
Eringen [1] has presented the theory of micropolar fluids
The variation of the velocity U with ζ at n=2.0, h=1.0 K=0.5, pj=5.0, p =4.0, pt=3.0, =1 for different values pl =1,5, 10 in case of =0, /3 is represented through Fig. (2.1)
It is clear from the figure and numerical values that the velocity U decreases in the region 0 ζ 0.2 and 0.8 ζ 1 and increases in the region 0.3 ζ 0.7 with an increase in the micro-polarity parameter pl in case of =0 whenever the behaviour of the velocity U in case of = /3 is just reversed to its behaviour in case of =0
Summary
Eringen [1] has presented the theory of micropolar fluids. The theory of micropolar fluids become the very active field of research for the last few decades as this class of fluids represents, mathematically, many industrially important fluids such as paints, body fluids, polymers, colloidal fluids, suspension fluids etc. These fluids display the effects of local rotatory inertia and couple stress and may form suitable non-Newtonian fluid models, which can be used to analyze the behaviour of the exotic lubricants, animal bloods, etc. Lukaszewicz [4] in this book
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