Abstract
Analytical solutions are derived for the temperature distribution and heat transfer coefficient in forced convection of a viscoelastic fluid obeying the simplified Phan-Thien–Tanner constitutive equation in laminar pipe and plane channel flows. The results are valid for fully developed thermal and hydrodynamic flow conditions with a constant heat flux imposed at the wall and include the investigation of the effects of viscous dissipation. A nonvanishing value of the extensional parameter of the fluid model is shown to be essential for the solution to differ significantly from that for a Newtonian, or an elastic fluid without extensibility. Elasticity, only when combined with extensibility, is shown to increase the heat transfer and to reduce the range of temperatures present inside a duct. These beneficial effects of fluid elasticity are enhanced by viscous dissipation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
