45 Replies
@Gyro Gearloose
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.wow
interesting
I = -KAdt/dx
but dt isn't constant
I will be dq/dt
im not getting the equations
Yum. I started doing it and got a second order DE
Got general solution for one side. Need to solve for other side, input conditions
Im getting three d wale terms
dT/dx in the RHS
dq/dt in the LHS
Let me try from the beginning actually
can't find how to relate all these
Wait you took dT/dx into consideration? The rod has negligible heat capacity so I assumed its temperature can be ignored.
Huh
Yeah, then I messed up
the source and sink are at different temperatures so the heat flow should be through the rod as well
Yup tup
*yup
Crap I did all of this wrong
😭
Got this and all
Curve which like charging capacitor in RC circuit for comparison.
Which makes sense.
time and temperature ko leke differential format banana hai
but idk what to with the dx
Since it should asymptote
interesting
i see
$Sa$ is $m{a}s_{a}$
Opt
yeah It does
it'll attain a steady state when T1 = T2
Ta = Tb.
T1 and T2 are initial values
I didn't want to get confused
oh haan
yesyes
I can't get the equations to work
Wait, won't that temp be (T1+T2)/2 ?
why so?
Just checking.
Nvm it depends on initial difference
i see
IT ALL HECKING COLLAPSED
PRACTICALLY EVERYTHING CANCELLED
Final answer I got was exponential decay
$\delta T(t) = (T_2 - T1)e^{-\frac{KA(m{1}s{1}+m{2}s{2})}{m{1}s{1}m{2}s_{2}l}t}$
Opt
All conditions are satisfied
Afaik
@hardcoreisdead pls confirm
Because I didn't take temp.grad. into consideration
@Dexter see if you got the same result
ah ok
dT = dQ/ms😞
😞
Newton's law of cooling
no
Its conduction
that was radiation
Ohhhhh right
yeah it's not intuitive i had solved a similar ques before so it was all bit easier :sweaty:
idk man
im not able to solve good questions aajkal
quality has Deteriorated alot
4 more days left after that you will get back your form ,even I don't get new kinds of ques i end up seeing soln after 10-15 mins
idfk if I'll be able to crack good questions anymore man
Feeling very demotivated nowadays
You did the simple thing 🤦♂️
I did Ta, Tb individually and subtracted lmao
Exact answer
Yup, same thing. I just took LCM
Your T2-T1 implies T20-T10 or inverse of that
Explain the logic of this ques pls
There's a mod involved because of the integration
+solved @Opt
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