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Firstly, a proper account of heat transfer and losses requires solving the conjugated problem comprising refractory walls and heated load.
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The mathematical model of the reactor can be viewed as a conjugated Graetz problem.
The theoretical model is a conjugated Graetz problem and is solved analytically using the separated variable method with an orthogonal expansion technique extended in power series.
The system has been considered as a conjugate problem with interaction of the wall with loop fluid, cooling stream and ambient along different sections of the loop.
The mathematical model, regarding the conjugate problem of transient forced convection and solid liquid phase change heat transfer based on the enthalpy formulation, has been presented.
The transient equations governing the momentum, energy and mass conservation in the air stream and in the porous solid walls are solved simultaneously as a conjugate problem.
Melting and solidification of the PCM and transient forced convection heat transfer for the fluid are solved as a conjugate problem.
Thermal profiles generated during plasma spraying of Al2O3 on the graphite mandrel for various mandrel designs and cooling conditions were computed by solving the conjugate problem of computational fluid dynamics and 3D unsteady heat transfer.
The conjugate problem (2.1 - 2.6 2.1 - 2.6s the possessesof unique contheuation.
This bounded value problem is a type of a conjugate problem.
Here, the functions ψ ∗ ( x, z ) ≡ ψ ( x, z ; v ∗ ), φ ∗ ( x, z ) ≡ φ ( x, z ; v ∗ ) are solutions of the problems (2 -(4) and a conjugate problem corresponding to v ∗ ∈ V, respectively.
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