I devote almost 8 years to working on Oracle Applications.
Now it’s time to involves a topic that as a student I gave special emphasis:
heat transfer.
So, in this post, I would like to involve Oracle BI as well
as Heat transfer over volumes. In this sense, based on first law of
thermodynamics (conservation of energy), methods are given for the calculation
of the distribution temperature.
Key aspect: Methodology followed allows to evaluate the values of Temperatures given time instant.
For this purpose, a brief explanation of 2D space-time
problem are given. In concret, looking
for approximate solutions to partial differential equations using numerical
methods (finit element analysis). To sum up, below (within a slide) are
presented involved aspects.
Key aspect: Discretisation of time derivatives.
As has been commented before,
taking into account the first law of thermodynamics, we present a methodology
in order to solve the governing equations of heat transfer (convection and diffusion
are considered).
Key aspect: We are assuming that
diffusion is the difference in the heat per unit area through two planes
(separated dx). In particular, as presented in the following slides, are taken
into account three situations such as:
-
Extrem (i=1): Convection
and diffusion.
Intern (1 < i < n ): Diffusion.
Once we have obtained equations
where Tpn+1 only depends on Tpn,
then not only initials conditions (t=0) are required but also bounday
conditions needs to be taken in account.
Key aspect: time-step Δt can’t be
chosen arbitrarily.
So, all values are known and Tpn+1
can be obtained. As a result:
Now it’s required to verificat
the solution obtained!
Best wishes.
Joan.
