Heat Transfer In Triangular Ducts With Axial Conduction,containing Porous Medium

ResearchCommons/Manakin Repository

Heat Transfer In Triangular Ducts With Axial Conduction,containing Porous Medium

Show simple item record Banerjee, Abhishek en_US 2012-04-11T20:59:25Z 2012-04-11T20:59:25Z 2012-04-11 January 2011 en_US
dc.identifier.other DISS-11417 en_US
dc.description.abstract The objective of this study is to find a numerical solution for the velocity and temperature field in a duct of triangular cross-section area. A fully saturated porous medium is considered to be present in the duct. The study reports the contribution of axial conduction in heat transfer to flow passing through triangular porous passages. The terms in x-direction are retained in the energy equation due to the presence of axial conduction. Also, because of the geometrical asymmetry, non-orthogonal boundary conditions can exist and thus make the determination of heat transfer more difficult. The problem under consideration uses H2 boundary conditions namely locally constant wall heat flux circumferentially and in the axial direction as well. The placement of porous materials can enhance the transfer of heat to a flowing fluid. The problem is divided into two parts. The first part deals with the finding the velocity field expression with the help of Brinkman's Momentum Equation. The second part uses the Energy Equation for finding the temperature field. A fully developed flow is considered for the velocity field calculations and a thermally developing flow for the temperature calculations. There are different methods for calculating the velocity field, one of them the method of Variational Calculus. The Variational Calculus leads to a minimization technique that provides a methodology known as the Galerkin method. Thus in the first phase, a weighted residual method (WRM) specifically the Galerkin method is used for calculations. This method allows using a polynomial function form known as basis function, which is finite, continuous and single valued.Depending on the duct cross section, formation of the basis function under H2 boundary conditions needs special attention for triangular ducts. The calculations for the temperature field might be formidable. Thus a Mathematica program is used for calculating the eigenvalues and eigenfunctions and for calculating various parameters such as Nusselt Number (Nu) and the heat transfer coefficient. The Mathematica program is as shown in Appendix A. en_US
dc.description.sponsorship Haji-sheikh, Abdolhossein en_US
dc.language.iso en en_US
dc.publisher Mechanical Engineering en_US
dc.title Heat Transfer In Triangular Ducts With Axial Conduction,containing Porous Medium en_US
dc.type M.S. en_US
dc.contributor.committeeChair Haji-sheikh, Abdolhossein en_US Mechanical Engineering en_US Mechanical Engineering en_US University of Texas at Arlington en_US masters en_US M.S. en_US

Files in this item

Files Size Format View
Banerjee_uta_2502M_11417.pdf 282.6Kb PDF View/Open

This item appears in the following Collection(s)

Show simple item record


My Account


About Us