Energy balance of stirred tank

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Nicola De Noni 2022-8-22

评论： Nicola De Noni 2022-8-23

Hello everyone!

I want to solve this equation in order to plot the theoretical temperature profile T:

I know the value of mass (10000), specific heat (2000), U (120), area (25) and the profile of T_w during time.

The experimental values of temperature T are known:

Thanks in advance!

Torsten 2022-8-22

编辑：Torsten 2022-8-23

syms rho cp V u A Tw T0 T(t) Tw(t)

eqn = rho*cp*V*diff(T,t) == u*A*(Tw-T);

cond = T(0)==T0;

T = dsolve(eqn,cond)

T =

Sam Chak 2022-8-23

The theoretical solution for the Temperature profile subject to

, and

where

is given by:

Nicola De Noni 2022-8-23

Thanks @Sam Chak and @Torsten! You're very kind.

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