Investigation of heat transfer and viscous dissipation effects on the jeffery-hamel flow of nanofluids

This article considers the influence of heat transfer on the non-linear Jeffery- -Hamel flow problem in a nanofluid. Analysis is performed for three types of nanoparticles namely copper Cu, alumina Al₂O₃, and titania TiO₂ by considering water as a base fluid. The resulting non-linear mathematical problems are solved for both analytic and numerical solutions. Analytic solution is developed by using differential transformation method whereas the numerical solution is presented by Runge-Kutta scheme. A comparative study between the analytical and numerical solutions is made. Dimensionless velocity and temperature, skin friction coefficient and Nusselt number are addressed for the involved pertinent parameters. It is observed that the influence of solid volume fraction of nanoparticles on the heat transfer and fluid flow parameters is more pronounced when compared with three types of nanoparticles. It is also found that skin friction coefficient and Nusselt number for Al₂O₃ nanofluid is highest in comparison to the other two nanoparticles.