Analysis of heat transfer in Berman flow of nanofluids with Navier slip, viscous dissipation, and convective cooling
Date
2014-03-31
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Abstract
Heat transfer characteristics of a Berman flow of water based nanofluids containing copper (Cu) and alumina (Al2O3) as nanoparticles in a porous channel with Navier slip, viscous dissipation, and convective cooling are investigated. It is assumed that the exchange of heat with the ambient surrounding takes place at the channel walls following Newton’s law of cooling. The governing partial differential equations and boundary conditions are converted into a set of nonlinear ordinary differential equations using appropriate similarity transformations. These equations are solved analytically by regular perturbation methods with series improvement technique and numerically using an efficient Runge-Kutta Fehlberg integration technique coupled with shooting scheme.The effects of the governing parameters on the dimensionless velocity, temperature, skin friction, pressure drop, and Nusselt numbers are presented graphically and discussed quantitatively.
Description
Please cite as follows: Makinde, O. D., Khamis, S., Tshehla, M. S. & Franks, O. 2014. Analysis of heat transfer in Berman flow of nanofluids with Navier slip, viscous dissipation, and convective cooling. Advances in Mathematical Physics, 2014:1-13 (Article ID 809367), doi:10.1155/2014/809367.
The original publication is available at http://www.hindawi.com/journals/amp
The original publication is available at http://www.hindawi.com/journals/amp
Keywords
Heat -- Transmission, Berman flow, Nanofluids
Citation
Makinde, O. D., Khamis, S., Tshehla, M. S. & Franks, O. 2014. Analysis of heat transfer in Berman flow of nanofluids with Navier slip, viscous dissipation, and convective cooling. Advances in Mathematical Physics, 2014:1-13 (Article ID 809367), doi:10.1155/2014/809367.