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Modeling and analysis of mixed convection stagnation point flow of nanofluid towards a stretching surface: OHAM and FEM approach

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Abstract

A theoretical study of mixed convection stagnation point flow towards a stretching surface is presented. The governing boundary layer equations are transformed into a set of highly nonlinear ordinary differential equations using suitable similarity transforms. The semi-analytical solution is obtained using optimal homotopy analysis method (OHAM) and the numerical solution is obtained via finite element method (FEM). Solutions obtained via two different approaches are in excellent agreement, which validates the accuracy of present analysis. In a special case, the present OHAM solution is also validated with the earlier available results. Effect of pertinent flow parameters on the skin friction coefficient and Nusselt number is presented in tabular form, whereas the velocity, temperature and nanoparticle distribution are presented in graphical forms. Further, a quadratic multiple regression analysis on numeric data of skin friction coefficient and Nusselt number is performed. The findings suggest that velocity slip assists the fluid motion in presence of buoyancy forces, whereas it exhibits a retarding nature on fluid motion when no buoyancy forces exist.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad, Jharkhand, 826004, India

    G. S. Seth & M. K. Mishra

  2. Department of Mathematics, National Institute of Technology Jamshedpur, Jamshedpur, Jharkhand, 831014, India

    R. Tripathi

Authors
  1. G. S. Seth
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  2. M. K. Mishra
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  3. R. Tripathi
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Correspondence to G. S. Seth.

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Communicated by Corina Giurgea.

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Seth, G.S., Mishra, M.K. & Tripathi, R. Modeling and analysis of mixed convection stagnation point flow of nanofluid towards a stretching surface: OHAM and FEM approach. Comp. Appl. Math. 37, 4081–4103 (2018). https://doi.org/10.1007/s40314-017-0565-3

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  • DOI: https://doi.org/10.1007/s40314-017-0565-3

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