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Analytical investigation of a Maxwell fluid flow with radiation in an axisymmetric semi-porous channel by parameterized perturbation method

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Abstract

This analysis investigates the problem of heat transfer for steady flow in a two-dimensional Maxwell fluid between an axisymmetric channel having upper porous wall by incorporating thermal radiation impacts. An analytic solution is obtained for the resulting nonlinear equations using parameterized perturbation method (PPM). For studying the precision and strength of the present finding obtained by PPM, a comparison is presented along with the numerical findings (attained through shooting technique), and they were found to be in excellent agreement. The physical quantities of intersects are investigated including the Reynolds number, Nusselt number, power law index, radiation parameter and Prandtl number. It is observed from present investigation that the absolute value of skin friction coefficient is increased with an increase in Reynolds number. Also, it is evident from these results that magnitude of Nusselt number enhances by an increment in power law index, Prandtl number and Reynolds number. However, it has the reverse behavior for radiation parameter, as it decreases for higher values of radiation parameter.

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Acknowledgements

We are thankful to the reviewers for their close attention and constructive suggestions to improve the quality of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan

    Z. Abbas & M. Naeem

  2. Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, 64200, Pakistan

    M. Naveed

  3. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, 46000, Pakistan

    Q. M. Z. Zia

Authors
  1. Z. Abbas
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  2. M. Naveed
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  3. M. Naeem
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  4. Q. M. Z. Zia
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Correspondence to M. Naveed.

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Technical Editor: Cezar Negrao.

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Abbas, Z., Naveed, M., Naeem, M. et al. Analytical investigation of a Maxwell fluid flow with radiation in an axisymmetric semi-porous channel by parameterized perturbation method. J Braz. Soc. Mech. Sci. Eng. 40, 65 (2018). https://doi.org/10.1007/s40430-018-0985-z

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  • DOI: https://doi.org/10.1007/s40430-018-0985-z

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