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Heat transfer in Oldroyd-B fluid flow due to an exponentially stretching wall utilizing Cattaneo–Christov heat flux model

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Abstract

Here we are concerned with the Oldroyd-B fluid flow resulting from the deformation of a non-isothermal flat surface with exponentially varying velocity. The objective is to resolve the heat transfer problem by assuming an exponentially varying wall temperature. A non-Fourier model is followed that enables one to investigate the features of thermal relaxation time phenomenon. Using local similarity method, the governing system is changed to a set of locally similar equations which have been tackled by optimal homotopy analysis method. The solution profiles are obtained and elucidated for broad parameter values. The direction and amount of heat flow are governed by a parameter measuring the exponential growth/decay rate of wall temperature with horizontal distance. An important implication of this research is that thermal field is substantially altered by thermal relaxation time. Also, the change in temperature profiles with variation in other parameters become prominent as thermal relaxation time enlarges. A comparative study of current computations with the existing literature appears convincing.

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Authors and Affiliations

  1. School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad, 44000, Pakistan

    M. Mustafa

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

    T. Hayat

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

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  1. M. Mustafa
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Correspondence to M. Mustafa.

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Technical Editor: Cezar Negrao.

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Mustafa, M., Hayat, T. & Alsaedi, A. Heat transfer in Oldroyd-B fluid flow due to an exponentially stretching wall utilizing Cattaneo–Christov heat flux model. J Braz. Soc. Mech. Sci. Eng. 40, 191 (2018). https://doi.org/10.1007/s40430-018-1132-6

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  • DOI: https://doi.org/10.1007/s40430-018-1132-6

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