Browsing by Author "AHSAN RAZA"

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    Numerical modeling and simulation of engineering problems
    (UMT Lahore, 2020) AHSAN RAZA
    This work is presented in the study of boundary value problem for thin film flow of fourth grade fluid down a vertical cylinder. The practical usage of the exact flow is restricted as it involves very complicated integrals. The nonlinear problem that arises is solved by Galerkin’s finite element approach based on weighted-residual formulation which is used to find the approximate solutions of the fourth-grade problem. This approach utilizes a piecewise linear approximation using Linear Lagrange polynomials. Convergence of the solutions which briefly describes the flow characteristics to include the effects of the emerging parameters. The results obtained after implementation are not restrictive to small values of flow parameters. Numerical studies have shown the superior accuracy and lesser computational cost of this scheme in comparison to collocation, homotopy analysis method and homotopy perturbation method. The impact of the relevant parameters is examined through graphical results after implementing a number of iterations.