Abstract
AbstractIn this paper the boundary layer flow of a micro-polar fluid due to a linearly stretching sheet which is a non-linear system two-point boundary value problem (BVP) on semi-infinite interval has been considered. This the sheets are included the suction and injection. We solve this problem by two different collecation approaches and compare their results with solution of other methods. The proposed approaches are equipped by the direct (DRBF) and indirect radial basis functions (IRBF). Direct approach (DRBF) is based on a differential process and indirect approach (IRBF) is based on an integration process. These methods reduce solution of the problem to solution of a system of algebraic equations. Numerical results and residual norm show that the IRBF performs better than the common DRBF, and has an acceptable accuracy and high rate of convergence of IRBF process.
Highlights
The proposed approaches are equipped by the direct (DRBF) and indirect radial basis functions (IRBF)
Radial basis functions (RBFs) interpolations are techniques for representing a function starting with data on scattered nodes
Collocation method based on radial basis functions is applied to observe the behavior of micro-polar ow due to a linearly stretching of porous sheet
Summary
In recent researches the ows of micro-polar uids has been increasingly favored due to the occurrence of these uids in industrial processes, such as solidi cation of the liquid crystals, cooling of a metallic plate in a bath, exotic lubricants extrusion of metals and polymers drawing of plastic lms, production of glass and paper sheets and solution of colloidal suspension. In this book the mathematical aspects of micro-polar uid ow are presented. Ariman et al [4] have given an excellent review of micro-polar uids and their applications. Some new aspects of micro-polar uids and their applications have been investigated by Rahman et al [12,13,14,15,16,17]. Limiting behavior of micro-polar ow due to a linearly stretching porous sheet have been investigated by [18, 19]. In present investigation we deal with the boundary layer ow of a micro-polar uid due to linearly stretching sheet
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