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Non-aligned MHD stagnation-point flow of upper-convected Maxwell fluid with nonlinear thermal radiation

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Abstract

Present analysis is performed for non-aligned stagnation-point flow of upper-convected Maxwell fluid over a continuously deforming surface. Aspects of nonlinear radiation flux and heat source/sink are invoked in the thermal analysis. Self-similar differential system is formulated by means of similarity transformations. Numerical computations for velocity and temperature profiles are made through standard shooting approach with fifth-order Runge–Kutta method. A collocation method-based MATLAB package bvp4c is also implemented for finding solutions. The results show that velocity and temperature profiles are appreciably affected when the viscoelastic fluid parameter is varied. The inclusion of radiation flux term yields an additional parameter (\(\theta_{w}\)) that is helpful for analysis of even large wall and ambient temperature differences. It is found that the concavity of the temperature function changes in its domain when sufficiently large wall-to-ambient temperature ratio is imposed. A comparative study about linear and nonlinear radiative heat fluxes is also presented. The results agree very well with the results of an existing article in a special situation.

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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. Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad, 44000, Pakistan

    A. Mushtaq

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

    T. Hayat

  4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    T. Hayat & A. Alsaedi

Authors
  1. M. Mustafa
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  2. A. Mushtaq
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  3. T. Hayat
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  4. A. Alsaedi
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Correspondence to M. Mustafa.

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Mustafa, M., Mushtaq, A., Hayat, T. et al. Non-aligned MHD stagnation-point flow of upper-convected Maxwell fluid with nonlinear thermal radiation. Neural Comput & Applic 30, 1549–1555 (2018). https://doi.org/10.1007/s00521-016-2761-2

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  • DOI: https://doi.org/10.1007/s00521-016-2761-2

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