Mathematical Modelling Of Stagnation Point Flow Induced By Accelerating Motion In Micropolar Fluid

Lok, Yian Yian and Khoo, Chin Foon and Tee, Boon Tuan (2007) Mathematical Modelling Of Stagnation Point Flow Induced By Accelerating Motion In Micropolar Fluid. Project Report. UTeM, Melaka, Malaysia. (Submitted)

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Abstract

The problem of unsteady boundary layer flow of a micropolar fluid induced by an acceleration motion of a two-dimensional body is studied. The problem is formulated for the flow near the stagnation point on an infinite plane wall. The governing partial differential equations are transformed into nonsimilar boundary layer equations and then solved numerically using the Keller's box method. This method may present well-behaved solutions for transient (small time) solution and those of the steady-state flow (large time) solution. Results are given for the skin friction coefficient, velocity and microrotation profiles, as well as for the dimensionless time elapsed before the boundary layer begins to separate from the wall. It is found that the dimensionless time elapsed before separation takes place is lower for a micropolar fluid (K≠0) than for a Newtonian fluid (K = 0), where K denotes the micropolar or material parameter. The micropolar fluid leads to an increase in the momentum boundary layer thickness and the skin friction coefficient for strong concentration (n=O) is higher compared to weak concentration (n≠0) of the micropolar fluid. This fact may be helpful in choosing a proper fluid for enhancing or retarding flow.

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