Journal
NEURAL COMPUTING & APPLICATIONS
Volume 30, Issue 5, Pages 1589-1599Publisher
SPRINGER LONDON LTD
DOI: 10.1007/s00521-016-2741-6
Keywords
Viscous fluid; Free convection; Arbitrary velocity; Radiation; Fractional derivatives; Exact solutions; Newtonian heating
Categories
Funding
- University of Management and Technology, Lahore, Pakistan
Ask authors/readers for more resources
Unsteady time fractional natural convection flow of incompressible viscous fluid due to arbitrary velocity with radiation and Newtonian heating is investigated. By introducing dimensionless variables and functions, the resulting equations are solved by the Laplace transform technique. Exact solutions for temperature and velocity fields are obtained by Caputo time fractional derivatives in dimensionless form, and they are expressed in terms of Robotnov-Hartley function and Wright's function. The rate of heat transfer on plate is obtained in terms of Nusselt number. Some known solutions from the existing literature are obtained as limiting case when . At the end, we have seen the significant influence of fractional parameter on the temperature and velocity graphically and observed that it has shown an opposite behavior on temperature and velocity for small and large values of time t, respectively. This shows that how fractional parameter affects the fluid flow.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available