African Journal of Physics Vol. 3 (2), pp. 027-034, February, 2016. © International Scholars Journals
Full Length Research Paper
Impact of pressure work and heat generation / absorption on free convection flow from a vertical circular cone with variable surface heat flux
Akhenaten S. Naguib1, Hosni A. R2 and Gamal Mahfouz3
1Mathematics Department, Faculty of science, Ain Shams University, Cairo, Egypt.
2Mathematics Department, The German University in Cairo-GUC, New Cairo City, Cairo, Egypt.
3Department of Physics and Engineering Mathematics, Faculty of Engineering-Mattaria, Helwan University, Cairo, Egypt.
*Corresponding author. E-mail: [email protected]
Accepted 26 August, 2013
Abstract
Impact of pressure work and heat generation/absorption on free convection flow from a vertical circular cone with variable surface heat flux is considered. The governing system of partial differential equations is reduced to a system of ordinary differential equations. Mathematica program has been used to solve such system. Comparison of the numerical results is made with previously published results under the special cases, the results are found to be in a good agreement. The solutions are presented in terms of local skin-friction, local Nusselt number, velocity and temperature profiles for values of Prandtl number, pressure work parameter, heat generation/absorption parameter and heat flux gradient parameter.
Key words: Laminar boundary layer, heat transfer, heat generation / absorption, vertical cone.