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Nonlinear convective flow with variable thermal conductivity and Cattaneo-Christov heat flux

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Abstract

An analysis is introduced to investigate the salient features of nonlinear convective flow of thixotropic fluid in the version of Cattaneo-Christov heat flux theory. The stagnation point flow is present. The flow phenomenon is by an impermeable stretching sheet. The energy expression is modeled through the theory of Cattaneo-Christov heat flux. Characteristics of heat transfer phenomenon are described within the frame of variable thermal conductivity. Suitable variables reduced to the nonlinear partial differential expressions to the ordinary differential expressions. Series solutions of resulting systems are acquired within the frame of homotopy theory. Convergence analysis is achieved and suitable values are determined by capturing the so-called ℏ−curves. Graphical results for velocity and temperature are displayed and argued for sundry physical variables. Expression of skin friction coefficient is calculated through numerical values. Higher values of mixed convection parameter, Prandtl number, and thermal relaxation time lead to decay the temperature and layer thickness.

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Authors and Affiliations

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

    Tasawar Hayat & Sajid Qayyum

  2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80207, Jeddah, 21589, Saudi Arabia

    Tasawar Hayat, Ahmed Alsaedi & Bashir Ahmad

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  1. Tasawar Hayat
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  2. Sajid Qayyum
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  3. Ahmed Alsaedi
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  4. Bashir Ahmad
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Correspondence to Sajid Qayyum.

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This research is a self-funded project.

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Hayat, T., Qayyum, S., Alsaedi, A. et al. Nonlinear convective flow with variable thermal conductivity and Cattaneo-Christov heat flux. Neural Comput & Applic 31, 295–305 (2019). https://doi.org/10.1007/s00521-017-3001-0

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  • DOI: https://doi.org/10.1007/s00521-017-3001-0

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