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Mathematical modeling of stagnation region nanofluid flow through Darcy–Forchheimer space taking into account inconsistent heat source/sink

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Abstract

The primary target of present research is to examine the application of OHAM (optimal homotopy asymptotic method) for a nanofluid transport through Darcy Forchheimer space toward the stagnation region by comparing stretching and straining forces. The porous matrix is suspended with nanofluid, and the flow field is under inconsistent heat source/sink influence. The solutions of guiding boundary layer equations report that pattern of primary velocity profiles are inverted by stagnation region flow strength. Straightforward relation of Forchheimer number with heat transfer has also been observed when stagnation forces dominate stretching forces. The novelty of present article lies in vector form presentation to OHAM and in the comparative analysis of stretching and straining forces.

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Acknowledgements

The authors are thankful to the anonymous learned reviewers for their quality remarks towards the improvement of manuscript. Second author also acknowledges financial support in the form of fellowship from Central University of Himachal Pradesh, Dharamshala, India for pursuing the research degree.

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Authors and Affiliations

  1. School of Mathematics, Computers and Information Sciences, Central University of Himachal Pradesh, Dharamshala, India

    Rakesh Kumar, Ravinder Kumar & Tanya Sharma

  2. Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran

    Mohsen Sheikholeslami

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Kumar, R., Kumar, R., Sharma, T. et al. Mathematical modeling of stagnation region nanofluid flow through Darcy–Forchheimer space taking into account inconsistent heat source/sink. J. Appl. Math. Comput. 65, 713–734 (2021). https://doi.org/10.1007/s12190-020-01412-w

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