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An iterative method for solution of a boundary value problem in non-newtonian fluid flow
Authors:C.D. Luning  W.L. Perry
Affiliation:Department of Mathematics, Sam Houston State University, Huntsville, TX 77340 U.S.A.;Department of Mathematics, Texas A&M University, College Station, TX 77843 U.S.A.
Abstract:The boundary value problem
/></figure> arises in boundary layer equations for the steady flow of a power-law fluid over an impermeable, semi-infinite flat plane. The parameter μ is equal to <math><mtext>1</mtext><mtext>n</mtext></math> where <em>n</em> is the exponent of the strain rate in the expression for the shear stress. We develop and prove the convergence of an iterative method for the solution of the given boundary value broblem for dilatant fluids (0 < μ <1). The iterative method can be easily implemented computationally. An added feature of our technique is that it accurately yields <em>y</em>(0), an important parameter which is related to the drag at the plate. The iterative method works well computationally not only for 0 < μ < 1 but for the range 1 < μ < 4 (pseudoplastic fluids with 1 > <em>n</em> > <math><mtext>1</mtext><mtext>4</mtext></math>), as well.</td> </tr> <tr> <td align=
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