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Appl. Sci. 2018, 8(4), 483; https://doi.org/10.3390/app8040483

A Stability Analysis on Mixed Convection Boundary Layer Flow along a Permeable Vertical Cylinder in a Porous Medium Filled with a Nanofluid and Thermal Radiation

1
Institute for Mathematical Research, Universiti Putra Malaysia, UPM Serdang, Selangor 43400, Malaysia
2
Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang, Selangor 43400, Malaysia
3
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi, Selangor 43600, Malaysia
4
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca R-400084, Romania
*
Author to whom correspondence should be addressed.
Received: 1 February 2018 / Revised: 23 February 2018 / Accepted: 25 February 2018 / Published: 23 March 2018
(This article belongs to the Special Issue Nanofluids and Their Applications)
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Abstract

A study on mixed convection boundary layer flow with thermal radiation and nanofluid over a permeable vertical cylinder lodged in a porous medium is performed in this current research by considering groupings of a variety nanoparticles, consisting of copper (Cu), aluminium (Al2O3) and titanium (TiO2). By using a method of similarity transformation, a governing set of ordinary differential equations has been reduced from the governing system of nonlinear partial differential equations, which are the values of selected parameters such as mixed convection parameter λ , nanoparticle volume fraction φ , radiation parameter Rd, suction parameter S, and curvature parameter ξ are solved numerically. From the numerical results, we observed that the involving of certain parameters ranges lead to the two different branches of solutions. We then performed a stability analysis by a bvp4c function (boundary value problem with fourth-order accuracy) to determine the most stable solution between these dual branches and the respective solutions. The features have been discussed in detail. View Full-Text
Keywords: mixed convection; cylinder; nanofluid; porous medium; thermal radiation; stability analysis mixed convection; cylinder; nanofluid; porous medium; thermal radiation; stability analysis
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Abu Bakar, S.; Arifin, N.M.; Md Ali, F.; Bachok, N.; Nazar, R.; Pop, I. A Stability Analysis on Mixed Convection Boundary Layer Flow along a Permeable Vertical Cylinder in a Porous Medium Filled with a Nanofluid and Thermal Radiation. Appl. Sci. 2018, 8, 483.

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