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Application of modified Fourier law in von Kármán swirling flow of Maxwell fluid with chemically reactive species

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Abstract

We develop a mathematical model for non-Newtonian Maxwell fluid over a rotating disk by extending the idea of classical von Kármán swirling flow. The impact of modified Fourier’s law of heat conduction in flow of Maxwell fluid swirling due to a rotating disk subject to the magnetic field is considered in this study. Additionally, the influence of temperature-dependent thermal conductivity along with the application of first-order chemical reaction is utilized in heat and mass transfer phenomena. The disturbance of fluid in this problem is due to the uniform rotation and radial stretching of the disk. The nonlinear governing flow problem is considered for analysis with a numerical technique, namely Runge–Kutta–Fehlberg (RKF45) method, while using Maple software. The effects of governing physical parameters are demonstrated through graphs. All results related to this illustration are displayed in the form of the velocity, temperature and concentration profiles. The solutions predict that the influence of Lorentz force is to reduce the velocity components and enhance the fluid temperature. A significant decline in fluid temperature is observed for high values of thermal relaxation parameter. It is further noticed that the concentration field trend decelerates with Schmidt number and chemical reaction parameters.

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Acknowledgement

The present work is supported by Quaid-i-Azam University Research Fund (URF scheme for the year 2017–2018).

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Authors and Affiliations

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

    Masood Khan, Jawad Ahmed & Latif Ahmad

  2. Department of Basic Sciences, University of Engineering and Technology, Taxila, 47050, Pakistan

    Jawad Ahmed

  3. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir, 18000, Pakistan

    Latif Ahmad

Authors
  1. Masood Khan
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  2. Jawad Ahmed
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  3. Latif Ahmad
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Correspondence to Jawad Ahmed.

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Technical Editor: Cezar Negrao, PhD.

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Khan, M., Ahmed, J. & Ahmad, L. Application of modified Fourier law in von Kármán swirling flow of Maxwell fluid with chemically reactive species. J Braz. Soc. Mech. Sci. Eng. 40, 573 (2018). https://doi.org/10.1007/s40430-018-1490-0

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  • DOI: https://doi.org/10.1007/s40430-018-1490-0

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