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gmaverick2k's latest activity
G
gmaverick2k
reacted to
Chestermiller's post
in the thread
Second order differential - Tanks in series cooling coil
with
Informative
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I would never have solved this problem the way that they solved it. The first thing I would have done would have been to solve Eqns. 19...
Mar 21, 2024
G
gmaverick2k
reacted to
Chestermiller's post
in the thread
Second order differential - Tanks in series cooling coil
with
Like
.
We are going. to first solve the two homogeneous coupled differential equation in post #19 subject to the initial conditions...
Mar 21, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
Thank you. Apologies, had a family emergency last week so wasn't able to get back on this
Mar 21, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
I'm stumped. Tried the T* method but I'm hitting a wall.. where t > 0 T1*(t) = T1(0) - T1(t) = 142.4 - T1(t) T1*(∞) = T1(0) - T1(∞) =...
Mar 16, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
I initially used @ t = 0, T2* = 55.1°C as per post #15, which gave T1* = 39.97°C. I thought thats pretty low as the outlet temperature...
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
I may be wrong. Changed the initial temps
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
dT1*/dt = 1.489T2* - 3.094T1* dT2*/dt = T1* - 2.991T2* I think this is where eq's. [3] to [7] kick in for simultaneous 1st ODE.
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
so when T1* is subbed into the differential the terms such as Cw(1-alpha)beta*t3 and CT0 disappear as they are not a function of time
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
So T1 is T1,i (after cooling water is put back on) and T1 (∞) was T1 at inifinite time by setting differential to zero T1* is T1,i+1...
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
I get: T1* = 0.01°C T2* = 0.03°C Most likely incorrect because of rounding error
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
I get: T1 (∞) = 79.3°C T2 (∞) = 39.8°C
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
I'm most likely wrong here, setting the differentials to 0 in both eq.'s [19] and [20], I get for both eq.'s: 4486.2*T2 - 1500*T1 =...
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
Note for XXIII, I got 159.6 for the right hand sided term instead of 309 (see post #2) although the coeffcients remained unchanged
Mar 15, 2024
G
gmaverick2k
replied to the thread
Second order differential - Tanks in series cooling coil
.
Problem statement below. Final two pages in posts #2 & 3
Mar 15, 2024
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