Thermodynamics HW Solutions 504

Thermodynamics HW Solutions 504 - Chapter 5 Numerical...

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: Chapter 5 Numerical Methods in Heat Conduction Assumptions 1 Heat transfer is one-dimensional since the pond is large relative to its depth. 2 Thermal properties, heat transfer coefficients, and the indoor temperatures are constant. 3 Radiation heat transfer is significant. 4 There are no convection currents in the water. 5 The given time step t = 15 min is less than the critical time step so that the stability criteria is satisfied. 6 All heat losses from the pond are negligible. 7 Heat generation due to absorption of radiation is uniform in each layer. Properties The conductivity and diffusivity are given to be k = 0.61 W/m. C and . The volumetric absorption coefficients of water are as given in the problem. = 015 10 6 . m 2 / s Analysis The nodal spacing is given to be x = 0.25 m. Then the number of nodes becomes 1 / + = x L M = 1/0.25+1 = 4. This problem involves 5 unknown nodal temperatures, and thus we need to have 5 equations. Nodes 2, 3, and 4 are interior nodes, and thus for them we can use the general explicit finite equations....
View Full Document

This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

Ask a homework question - tutors are online