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Carreau fluid model towards a stretching cylinder: Using Keller box and shooting method

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Abstract In the present study, Carreau fluid model over a stretching cylinder is considered. The boundary layer approximation is incorporated in order to solve the mathematical model. The formulation has… Click to show full abstract

Abstract In the present study, Carreau fluid model over a stretching cylinder is considered. The boundary layer approximation is incorporated in order to solve the mathematical model. The formulation has been constructed and then by employing similarity transformations, the boundary layer equations are rehabilitated into self-similar form. The simplified nonlinear boundary value problem is solved numerically with Keller box and shooting method. The interesting findings for essential parameters are examined through graphs and tables. In each graph and table comparison has been made through Keller box and shooting method. It was found that both solutions are in excellent agreement. Computations are performed for different values of Weissenberg number We, curvature parameter K and power law index n . The results show that velocity profile increases for large values of Weissenberg number We ( n > 1 ) and curvature parameter K while opposite behavior is noticed in the case of skin friction coefficient.

Keywords: box shooting; shooting method; model; keller box

Journal Title: Ain Shams Engineering Journal
Year Published: 2020

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