The energy balance equation for rectangular coordinates is given by In Example 3.1, there is no convective

Question:

The energy balance equation for rectangular coordinates is given byPCP aT at aT +ux +Uy + uz   ax aT z = k ( 2T 2     + 32 +  az2 + S.

In Example 3.1, there is no convective flow, consequently there is no heat convection, and the following terms are canceled:ux  ax vy-  -, u Uz-  aT z = 0.

Example 3.1

The variables and parameters used in this example are as follows: p = density, cp = heat capacity, q = heat flux, k = thermal conductivity, A = cross-sectional area, S = source strength (J m−3 s−1).accumulation: in (conduction): out (conduction): production: PC, (x); (q 4)\, t; (q4)\x+. ; SAx t.

Insertion of these terms into the balance equation yieldspc p =  q|x - glx+Ax  By taking the limit as Ax - 0 and At - 0 we have aT ag 3x at Finally, introducing

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Mathematical Modeling In Chemical Engineering

ISBN: 9781107049697

1st Edition

Authors: Anders Rasmuson, Bengt Andersson, Louise Olsson, Ronnie Andersson

Question Posted: