HW-3-key-2012

Find the finite difference equation for nodal point

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: IND: The finite-difference equation for nodal point on this boundary when (a) insulated; compare result with Eq. 4.42, and when (b) subjected to a constant heat flux. SCHEMATIC: ASSUMPTIONS: (1) Two-dimensional, steady-state conduction with no generation, (2) Constant properties, (3) Boundary is adiabatic. ANALYSIS: (a) Performing an energy balance on the control volume, (∆x/2)⋅∆y, and using the conduction rate equation, it follows that Note that there is no heat rate across the control volume surface at the insulated boundary. Recognizing that ∆x =∆y, the above expression reduces to the form The Eq. 4.42 of Table 4.2 considers the same configuration but with the boundary subjected to a convection process. That is, Note that, if the boundary is insulated, h = 0 and Eq. 4.42 reduces to Eq. (4). (b) If the surface is exposed to a constant heat flux, the energy balance has the form and the finite difference equation becomes COMMENTS: Equation (4) can be obtained by using the “interior node” finite-differenc...
View Full Document

This note was uploaded on 01/24/2014 for the course CHE 306 taught by Professor Deng during the Fall '12 term at NMSU.

Ask a homework question - tutors are online