Influence of Melting Heat Transfer in the Stagnation-Point Flow of a Jeffrey Fluid in the Presence of Viscous Dissipation
- 9 February 2012
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 79 (2), 024501
- https://doi.org/10.1115/1.4005560
Abstract
This communication studies the effect of melting heat transfer on the stagnation-point flow of a Jeffrey fluid over a stretching sheet. Heat transfer analysis is carried out in the presence of viscous dissipation. The arising differential system has been solved by the homotopy analysis method (HAM). The results indicate an increase in the velocity and the boundary layer thickness with an increase in the values of the elastic parameter (Deborah number) for a Jeffrey fluid which are opposite to those accounted for in the literature for the other subclasses of rate type fluids. Furthermore, an increase in the melting process corresponds to an increase in the velocity and a decrease in the temperature. A comparative study between the current computations and the previous studies is also presented in a limiting sense.Keywords
This publication has 20 references indexed in Scilit:
- Melting heat transfer in the stagnation‐point flow of an upper‐convected Maxwell (UCM) fluid past a stretching sheetInternational Journal for Numerical Methods in Fluids, 2011
- Homotopy analysis method for the Kawahara equationNonlinear Analysis: Real World Applications, 2010
- Investigation Into the Similarity Solution for Boundary Layer Flows in MicrosystemsJournal of Heat Transfer, 2010
- Flow and Heat Transfer Over a Stretched MicrosurfaceJournal of Heat Transfer, 2009
- Magnetohydrodynamic stagnation-point flow of a power-law fluid towards a stretching surfaceInternational Journal of Non-Linear Mechanics, 2009
- MHD stagnation-point flow of an upper-convected Maxwell fluid over a stretching surfaceChaos, Solitons, and Fractals, 2009
- Stagnation-point flow of a second-grade fluid with slipInternational Journal of Non-Linear Mechanics, 2008
- Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channelInternational Journal of Non-Linear Mechanics, 2008
- Basic viscoelastic fluid flow problems using the Jeffreys modelChemical Engineering Science, 2005
- Melting Heat Transfer in Steady Laminar Flow Over a Flat PlateJournal of Heat Transfer, 1976