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Thermal radiation effects on flow of Jeffery fluid in converging and diverging stretchable channels

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Abstract

This paper investigates the flow of Jeffery fluid between converging and diverging channels. The walls of the channel are assumed to be capable for stretching or shrinking. Also, the influence of thermal radiations on flow field is under consideration in stretchable converging and diverging channels. The set of highly nonlinear and dimensional flow model is transformed into a dimensionless system of ordinary differential equations. For said purpose, we utilized feasible similarity variables. Solution of the said system is then obtained with the help of Adomian decomposition method. For the sake of comparison, numerical solution is also calculated by using Runge–Kutta scheme of fourth-order coupled with shooting technique. The influence of ingrained nondimensional physical quantities is also investigated graphically for velocity and temperature fields. The comparison between the velocity fields of non-Newtonian and Newtonian cases are also portrayed graphically. Furthermore, some values for unknown constants that appeared in analytical solution are calculated for different values of dimensionless physical quantities.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan

    Naveed Ahmed & Syed Tauseef Mohyud-Din

  2. Department of Mathematics, Mohi-ud-Din Islamic University, Narian Sharif, Azad Jammu and Kashmir, Pakistan

    Adnan Abbasi

  3. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan

    Umar Khan

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  1. Naveed Ahmed
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  2. Adnan Abbasi
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  3. Umar Khan
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  4. Syed Tauseef Mohyud-Din
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Correspondence to Umar Khan.

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Ahmed, N., Abbasi, A., Khan, U. et al. Thermal radiation effects on flow of Jeffery fluid in converging and diverging stretchable channels. Neural Comput & Applic 30, 2371–2379 (2018). https://doi.org/10.1007/s00521-016-2831-5

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  • DOI: https://doi.org/10.1007/s00521-016-2831-5

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