1. Caltech / MIT (Transport
Dynamics)
\[\frac{\partial T}{\partial t} = \alpha
\nabla^2 T + \frac{\dot{q}}{\rho c_p}\]
\[q''_{condense} = h_{cond} \left(
T_{vapor} - T_{surface} \right)\]
- Focus: 3D transient heat diffusion & phase-change dynamics.
2. UNAM / IPN (Transport
Phenomena)
\[q_{cond} = -kA \frac{\partial
T}{\partial x}\]
\[\rho c_p \frac{\partial T}{\partial t} =
\frac{\partial}{\partial x} \left( k \frac{\partial T}{\partial x}
\right)\]
- Focus: Classical 1D continuous heat conduction & flux
gradients.
3. Georgia Tech (Thermal
Systems)
\[Q = m c_p \Delta T + m_{vap}
h_{fg}\]
\[q = U A \Delta T_{LMTD}\]
- Focus: Heat exchanger theory, phase change & log-mean
temperature differences.
4. Universidad
Panamericana (UP) (Boundary Values)
\[\frac{\partial T}{\partial t} = \alpha
\frac{\partial^2 T}{\partial x^2}\]
\[-k \left. \frac{\partial T}{\partial x}
\right|_{x=0} = h \left( T_{pan} - T_{surface} \right)\]
- Focus: Exact 1D differential equations with Dirichlet/Neumann
boundary conditions.
5. Tec de Monterrey (Process
Modeling)
\[q_{net} = \frac{T_{flame} -
T_{meat}}{R_{total}}\]
\[R_{total} = \frac{L_{pan}}{k_{pan} A} +
R_{contact} + R_{meat}\]
- Focus: Circuit-analogy thermal resistance across pan/meat
interfaces.
6. Universidad La
Salle (Classical Thermodynamics)
\[\Delta U_{system} = Q_{in} -
Q_{loss}\]
\[Q_{in} = \dot{V}_{gas} \times LHV \times
\eta_{burner}\]
- Focus: First Law energy conservation & fuel heat values.
7.
Universidad Iberoamericana (IBERO) (Life-Cycle Audits)
\[EER = \frac{Q_{absorbed}}{E_{fuel\
footprint}}\]
\[\dot{m}_{emissions} = \dot{V}_{fuel}
\times EF_{CO_2}\]
- Focus: Overall energy efficiency ratios & CO\(_2\) emissions footprint.
8.
Universidad Regiomontana (U-INCN) (System Efficiency)
\[\eta_{thermal} = \frac{m_{meat} c_p
\left( T_{final} - T_{initial} \right)}{Q_{burned}}\]
- Focus: Operational thermal efficiency % (effective heat / fuel
used).
Variable Legend
- \(\alpha\): Thermal diffusivity
(\(\frac{k}{\rho c_p}\))
- \(k\): Thermal conductivity
- \(\rho\): Density
- \(c_p\): Specific heat
capacity
- \(h_{cond}\): Condensation heat
transfer coefficient
- \(h_{fg}\): Latent heat of
vaporization