Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2015, Special Issue (2014), Article ID 741352, 6 pages.

Lie Group Analysis on Brownian Motion and Thermophoresis Effect on Free Convective Boundary-Layer Flow on a Vertical Cylinder Embedded in a Nanofluid-Saturated Porous Medium

Mohammad Ferdows, Mohammed Abdul Ali Hamad, and Mohamed Ali

Full-text: Open access

Abstract

Natural convective boundary-layer flow of a nanofluid on a heated vertical cylinder embedded in a nanofluid-saturated porous medium is studied. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. Lie groups analysis is used to get the similarity transformations, which transform the governing partial differential equations to a system of ordinary differential equations. Two groups of similarity transformations are obtained. Numerical solutions of the resulting ordinary differential systems are obtained and discussed for various values of the governing parameters.

Article information

Source
J. Appl. Math., Volume 2015, Special Issue (2014), Article ID 741352, 6 pages.

Dates
First available in Project Euclid: 15 April 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1429105551

Digital Object Identifier
doi:10.1155/2015/741352

Mathematical Reviews number (MathSciNet)
MR3332132

Citation

Ferdows, Mohammad; Hamad, Mohammed Abdul Ali; Ali, Mohamed. Lie Group Analysis on Brownian Motion and Thermophoresis Effect on Free Convective Boundary-Layer Flow on a Vertical Cylinder Embedded in a Nanofluid-Saturated Porous Medium. J. Appl. Math. 2015, Special Issue (2014), Article ID 741352, 6 pages. doi:10.1155/2015/741352. https://projecteuclid.org/euclid.jam/1429105551


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