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Applied Mathematics and Mechanics >

2020 , Vol. 41 >Issue 5: 699 - 710

DOI: https://doi.org/10.1007/s10483-020-2605-7

Articles

Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel: a Darcy-Forchheimer model

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  • 1. Department of Mathematics, K. L. E Society's J.T. College, Gadag 582101, Karnataka, India;
    2. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan;
    3. Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam;
    4. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam

Received date: 2020-01-13

  Revised date: 2020-02-18

  Online published: 2020-04-20

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Abstract

The flow behavior in non-parallel walls is an important factor of any physical model including cavity flow and canals, which is applicable for diverging/converging channel. The present communication explains that the flow of the hybrid nanomaterial subjected to the convergent/divergent channel has non-parallel walls. It is assumed that the hybrid nanomaterial movement is in the porous region. A Darcy-Forchheimer medium of porosity is considered to interpret the porosity features. A useful similarity function is adopted to get the strong ordinary coupled equations. Numerical solutions are achieved through the Runge-Kutta-Fehlberg (RKF) fourth-fifth order method, and they are validated with the existing results. Physical nature of the involving constraints is reported with the help of plots. It is explored that the velocity of divergent channel decreases, and convergent channel enhances for the higher solid volume faction. Further, the presence of inertia coefficient and porosity parameter amplifies the velocity at the wall.

Key words： hybrid nanoliquid; channel; Darcy-Forchheimer flow; stretching wall; numerical solution

Cite this article

G. K. RAMESH, S. A. SHEHZAD, I. TLILI . Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel: a Darcy-Forchheimer model[J]. Applied Mathematics and Mechanics, 2020 , 41(5) : 699 -710 . DOI: 10.1007/s10483-020-2605-7

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