Laminar Natural Convection of Power Law Fluids between Two Vertical Plates
Master of Science
Steady and laminar natural convection heat transfer and fluid flow for power law fluids in an open channel between two parallel vertical plates that is entering from the bottom and exiting from top is studied. For the numerical computations, the ANSYS Workbench Fluent commercial package is used and the numerical output is post-processed and non-dimensional numbers are evaluated by MATLAB. The conservation of mass, momentum and energy equations solved numerically. The results for asymmetric and symmetric configurations of the heated plates, which are kept at uniform temperatures with an aspect ratio of 40, are presented for different non-dimensional numbers and power law properties. Various values of Rayleigh number (Ra= 〖10〗^4,〖10〗^5,〖10〗^6 ), Prandtl number (Pr=10,100,1000), non-Newtonian power law indexes (0.6≤n≤1.4) and temperature ratios of colder and hotter walls (r_T=0,0.5,1.0) are considered. The temperature profiles, the velocity profiles and the average Nusselt numbers are presented respectively. A detailed comparison between Newtonian and non-Newtonian fluids are made in terms of the variations of the average Nusselt numbers representing the strength of heat transfer as a function of the non-dimensional governing parameters, Ra,Prand n.
Power law; natural convection