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Thermodynamics by melting in flow of an Oldroyd-B material

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Abstract

This research reports heat transfer via melting in stagnation point flow of non-Newtonian fluid by a nonlinear stretchable sheet of variable thickness. An incompressible fluid with constant applied uniform magnetic field is inspected. Modeling is based on the constitutive relation of subclass of rate type materials, namely the Oldroyd-B fluid. Heat transfer process also involves the heat source/sink aspect. Nonlinear system of ODEs (ordinary differential equations) is solved via HAM (homotopy analysis method). Interval of convergence for velocity and thermal fields is explicitly determined. Velocity, temperature and Nusselt number are examined under influential variables. Intensification in flow is observed with an increment in melting and wall thickness parameters. Temperature of fluid decays with higher melting, while the opposite trend holds for wall thickness parameter. Small Nusselt number is accounted for higher melting parameter, while it intensifies with larger velocity ratio parameter.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-I-Azam University (QAU), Islamabad, 44000, Pakistan

    T. Hayat & Khursheed Muhammad

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

    T. Hayat & A. Alsaedi

  3. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, 44000, Pakistan

    S. Asghar

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  1. T. Hayat
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  2. Khursheed Muhammad
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  4. S. Asghar
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Correspondence to Khursheed Muhammad.

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Technical Editor: Cezar Negrao, PhD.

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Hayat, T., Muhammad, K., Alsaedi, A. et al. Thermodynamics by melting in flow of an Oldroyd-B material. J Braz. Soc. Mech. Sci. Eng. 40, 530 (2018). https://doi.org/10.1007/s40430-018-1447-3

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