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Computer extended series solution to viscous flow between rotating discs
Authors:N M Bujurke  N P Pal  P K Achar
Institution:(1) Department of Mathematics, Karnatak University, 580 003 Dharwad, India
Abstract:The problem of injection (suction) of a viscous incompressible fluid through a rotating porous disc onto a rotating co-axial disc is studied using computer extended series. The universal coefficients in the low Reynolds number perturbation expansion are generated by delegating the routine complex algebra to computer. Various cases leading to specific types of flows are studied. Analytic continuation of the series solution yields results which agree favourably with pure numerical findings up to moderately large Reynolds number. The precise variation of lift as a function of R is established in each case.
Keywords:Series solution  Pade’  approximants  reversion of series  Euler transformation  analytic continuation  Brown’  s method
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