What is it about?
In this article the natural convection flow of second grade fluid with thermal radiation is considered. The thermal balance equation is fractionalized by means of generalized Fourier’s law. Analytical solution for temperature field and semi analytical for velocity field has been obtained by Laplace transform. Later on, to find the inverse Laplace transform of velocity field, Stehfest’s algorithm has been used. Finally, some graphs have been sketched to discuss the influence of parameters. It is found that the thermal histories strongly influence the thermal transport for small values of time t. Also, the thermal transport can be enhanced if the thermal fractional parameter decreases or increasing. Velocity field is influenced by the damping of the by the temperature gradient introduced by the fractional derivative.
Featured Image
Why is it important?
Unsteady natural convection flow of an incompressible second grade fluid with radiation effect inside vertical channels of width d has been focused here. Fractional generalized Fourier’s law has been used. Analytical solution for temperature field and semi analytical for velocity field has been obtained by Laplace transform. Later on, to find the inverse Laplace transform of velocity field, Stehfest’s algorithm has been used. Finally, some graphs have been sketched to discuss the influence of parameters.
Perspectives
The aim of this article is to study the influence of thermal fractional parameter on second grade fluid between vertical channels in the presence of thermal radiation. Generalized Fourier’s law is used in order to introduce the fractional Caputo derivative in thermal balance equation, suggested by Henry et al. and Hristov. The following observations are concluded: By increasing values of a as well as time the temperature decreased. The velocity is increased by increasing the values of fractional parameter but decrease with respect to time. The velocity is decreasing function with respect to Prandtl number which is expected.
Prof. Dr Saif Ullah
Government College University Lahore
Read the Original
This page is a summary of: Natural convection flow of second grade fluid with thermal radiation and damped thermal flux between vertical channels, Alexandria Engineering Journal, December 2019, Elsevier,
DOI: 10.1016/j.aej.2019.09.014.
You can read the full text:
Contributors
The following have contributed to this page
