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Stagnation point flow of nanomaterial towards nonlinear stretching surface with melting heat

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Abstract

The present investigation explores the characteristics of Maxwell nanofluid over a stretched sheet possessing variable sheet thickness. The model utilized for nanofluid contains the combined impacts of thermophoresis and Brownian motion. Effects of melting heat transfer and magnetohydrodynamics are included in the analysis as well. For the formulation procedure, we have adopted the concept of usual boundary layer approximation. Convergent homotopic solutions are presented for the developed nonlinear systems. Impact of different pertinent variables on the non-dimensional equations of velocity, temperature, concentration, local Sherwood and local Nusselt numbers is analyzed and discussed in detail. It is revealed that larger Deborah and Hartman numbers retard the flow. The melting and nonlinear parameters have reverse effects for velocity and temperature. Moreover, it observed that temperature and concentration distributions augment for higher values of Brownian motion parameter; however, temperature and concentration distributions have opposite behavior for thermophoretic parameter. Besides this, in limiting sense the accuracy of outcoming results is also affirmed by comparing them with the results already available in the literature.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    T. Hayat, Gulnaz Bashir, M. Waqas & M. Ayub

  2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

  3. Department of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Park Road, Islamabad, 44000, Pakistan

    S. Asghar

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  1. T. Hayat
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  2. Gulnaz Bashir
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Correspondence to M. Waqas.

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Hayat, T., Bashir, G., Waqas, M. et al. Stagnation point flow of nanomaterial towards nonlinear stretching surface with melting heat. Neural Comput & Applic 30, 509–518 (2018). https://doi.org/10.1007/s00521-016-2704-y

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  • DOI: https://doi.org/10.1007/s00521-016-2704-y

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