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hi all...

hope all is well with you.

================

this original research document is actually free on the internet. the

title of the paper is: "Current and Future Miniature Refrigeration

Cooling Technologies for High Power Microelectronics" and the

formulars are on page 6 and the result is on page 7 of the document.

========================

i am trying to improve on a concept, and need to figure out what the

pioneers did, first of all so i can make my own alterations with my

own approach. i'm needing to understand how to write a solver routine

in matlab or use Excel, where I have a goal and then iterate till i

reach that goal...and then save my data point.

the original authors used a solver in Excel to solve what they were

developed, and then generated data from iterations, and from their

generated data plotted graphs in Excel. - simple relational linear

graphs. They were supposed to have had constraints in their equations,

(maybe like Lagrange equations in their Excel solver; I really don't

know what their constraints were). I have been able to reproduce their

equations which I shall display below and what they said they did to

get their graph....

FULL DISCLOSURE: My direction of interest is different from what they

did. however, I am interested in what they did with available basic

information to generate a ton of data to enable them plot their graph,

which is my goal, to use the same parameters to generate a ton of data

for mine and then plot and compare and analyze.

My hope is that by figuring out what they did, I can generate my own

data using my own sets of equations and then plot my graphs as

required...and then make my own variation in analyzing the problem and

i shall be giving credit to all parties involved - not trying to

cheat or anything. i am using the same system they used, and so my

parameters are going to be the same as their's but we have different

equations as I am trying to improve their work. Once I get what they

did I will then work my own equations. Thanks.

Here is their work:

===========================================

Here are the values for the parameters which are used to in their

equations shown below (same parameters I will use given it is the same

system but a dift approach):

W = 125

N=31

&=0.000 2

P=0.000 01

Tc = ?

Z = .002 667

G=0.011 96

k = 1.5

Th=Ta=25

dT = Th - Tc

dT(max) = 67 --- dT(max) is the maximum value that dT can get to...

R1 = 0.571

R2 = 0.049

here are the equations.

X = (& * Tc * G / P) --- so in my understanding, X is generated each

time Tc changes since it is the only free variable given...

they also gave an equation for dT(max)...unsure if the values changes

or not since it is a max value and that was given by the system in

consideration but here is the equation:

dT(max) = 0.5*Z*Tc^2

and

Q = 2NGk [ dT(max) - dT ] -- i believe this is the version they used

while computing...

and Q also has a variant = 2N [ &*X*Tc - (0.5*X^2 *P/G) - k*G*dT ]

they are the same equation...

W = 2NGk*Z*Tc*Th

the other equation i believe they used in computing is:

R1*Q = Tj - Tc;

and

(Q + W) * R2 = Th - Ta

and also $ = Q/W was the last equation.

--------------------------------------

here are their comments b4 displaying the graphs and the physical

explanation of the system:

heat flow Q is input, and the resulting Tj is determined.

Typically, a value for one of the temperatures (where the temperatures

are Tj, Tc, Ta, Th) is guessed, and then the solution is iterated

until Q reaches the desired input value. The calculations were all

performed on an Excel spreadsheet,

=============================

this document is actually free on the internet. the title of the paper

is: "Current and Future Miniature Refrigeration Cooling Technologies

for High Power Microelectronics" and the formulars are on page 6 and

the result is on page 7 of the document.

Please relay any questions you have to me. thanks very much.

On 1 Apr., 05:18, matlab_learner <cib...@gmail.com> wrote:

> hi all...

> hope all is well with you.

> ================

> this original research document is actually free on the internet. the

> title of the paper is: "Current and Future Miniature Refrigeration

> Cooling Technologies for High Power Microelectronics" and the

> formulars are on page 6 and the result is on page 7 of the document.

> ========================

>

> i am trying to improve on a concept, and need to figure out what the

> pioneers did, first of all so i can make my own alterations with my

> own approach. i'm needing to understand how to write a solver routine

> in matlab or use Excel, where I have a goal and then iterate till i

> reach that goal...and then save my data point.

> the original authors used a solver in Excel to solve what they were

> developed, and then generated data from iterations, and from their

> generated data plotted graphs in Excel. - simple relational linear

> graphs. They were supposed to have had constraints in their equations,

> (maybe like Lagrange equations in their Excel solver; I really don't

> know what their constraints were). I have been able to reproduce their

> equations which I shall display below and what they said they did to

> get their graph....

> FULL DISCLOSURE: My direction of interest is different from what they

> did. however, I am interested in what they did with available basic

> information to generate a ton of data to enable them plot their graph,

> which is my goal, to use the same parameters to generate a ton of data

> for mine and then plot and compare and analyze.

> My hope is that by figuring out what they did, I can generate my own

> data using my own sets of equations and then plot my graphs as

> required...and then make my own variation in analyzing the problem and

> i shall be giving credit to all parties involved - not trying to

> cheat or anything. i am using the same system they used, and so my

> parameters are going to be the same as their's but we have different

> equations as I am trying to improve their work. Once I get what they

> did I will then work my own equations. Thanks.

> Here is their work:

> ===========================================

> Here are the values for the parameters which are used to in their

> equations shown below (same parameters I will use given it is the same

> system but a dift approach):

> W = 125

> N=31

> &=0.000 2

> P=0.000 01

> Tc = ?

> Z = .002 667

> G=0.011 96

> k = 1.5

> Th=Ta=25

> dT = Th - Tc

> dT(max) = 67 --- dT(max) is the maximum value that dT can get to...

> R1 = 0.571

> R2 = 0.049

> here are the equations.

> X = (& * Tc * G / P) --- so in my understanding, X is generated each

> time Tc changes since it is the only free variable given...

> they also gave an equation for dT(max)...unsure if the values changes

> or not since it is a max value and that was given by the system in

> consideration but here is the equation:

> dT(max) = 0.5*Z*Tc^2

> and

>

> Q = 2NGk [ dT(max) - dT ] -- i believe this is the version they used

> while computing...

> and Q also has a variant = 2N [ &*X*Tc - (0.5*X^2 *P/G) - k*G*dT ]

> they are the same equation...

>

> W = 2NGk*Z*Tc*Th

> the other equation i believe they used in computing is:

> R1*Q = Tj - Tc;

> and

> (Q + W) * R2 = Th - Ta

>

> and also $ = Q/W was the last equation.

> --------------------------------------

> here are their comments b4 displaying the graphs and the physical

> explanation of the system:

>

> heat flow Q is input, and the resulting Tj is determined.

> Typically, a value for one of the temperatures (where the temperatures

> are Tj, Tc, Ta, Th) is guessed, and then the solution is iterated

> until Q reaches the desired input value. The calculations were all

> performed on an Excel spreadsheet,

> =============================

> this document is actually free on the internet. the title of the paper

> is: "Current and Future Miniature Refrigeration Cooling Technologies

> for High Power Microelectronics" and the formulars are on page 6 and

> the result is on page 7 of the document.

>

> Please relay any questions you have to me. thanks very much.

(6)-(11) on page 361 are a system of 6 equations in the unknowns

T_h, T_c, T_j, T_a, W and COP.

Use MATLAB's FSOLVE to solve.

Best wishes

Torsten.

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