2D Temperature Distribution in vertical plates

11192016, 11:33 AM
(This post was last modified: 11192016 11:54 AM by Ángel Martin.)
Post: #1




2D Temperature Distribution in vertical plates
2D Temperature Distribution in vertical plates. [ TXY ]
From the author’s Engineering Collection, included in the ETSII4 module. This program calculates the temperature distribution T(x,y) within a rectangular vertical plate with dimensions (b x h); with a known temperature distribution on its upper side  either constant or varying with x  T(x,h), immersed in a uniform ambient temperature T0. The expression used is based on an infinite sum as follows: T(x,y) = T0 + 2/b SUM T(n,x) ; n= 1,2,.... with the following general term, where Mn = pi. n / b Tn(x,y) = sh(Mn.y). sin(Mn.x) / sh (Mn.h) INTG { T(x,b) – T0] sin Mn t} dt ; between [0, b] The numerical integration is done using the "ITG" routine also included in the module. Example: Calculate the temperature in the points P(1, 2) and Q(2, 3) within a flat plate of dimensions (2 x 5) m, with a temperature distribution on its top side given by the function: t(x,5) = x^2 + 10 deg C. The ambient temperature is t0 = 10 deg C. Compare the result with the case of a constant temperature on the top side t(x, 5) = 100 deg C. The solutions are shown below. Code: Point T(x,5)=100 T(x, 5) = x^2 + 10 The temperature function for the second case can be easily programmed: 01 LBL “TX” 02 X^2 03 10 04 + 05 END 

« Next Oldest  Next Newest »

User(s) browsing this thread: 1 Guest(s)