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The pool temperature under normal and abnormal conditions is analyzed by solving the simplified energy equation.
The performance of the design is analyzed by solving variants of Thomas-Fermi equation.
The flow through the turbine was analyzed by solving the Reynolds-averaged Navier-Stokes equations (RANSE).
Periodic structures have been efficiently analyzed by solving for a single unit cell utilizing Floquet's theorem.
The stability properties of SD schemes have been analyzed by solving a linear model problem.
The forced convective heat transfer inside the channels is analyzed by solving the energy equation, which is coupled with the heat conduction equation in the PCM container.
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Here ω is the circular frequency; D is the displacement amplitude vector; M and K are the mass and static stiffness matrices; and K is the dynamic stiffness matrix, with coefficients which include trigonometric and hyperbolic functions involving ω and mass because elements (for example, bars or beams) are analyzed exactly by solving their governing differential equations.
In order to assess the compliance of these architectures with international safety standards, the frequency of hazardous failures must be analyzed by developing and solving proper formal models.
The one-way coupled thermo-mechanical problem is analyzed by first numerically solving the nonlinear heat equation with the Generalized Differential Quadrature Method (GDQM), and then the linear mechanical problem by using Reddy's Third-order Shear Deformation Theory (TSDT) and the GDQM.
First, the flow field around the turbine was analyzed in detail by solving three-dimensional unsteady incompressible Reynolds-averaged Navier Stokes equations using computational fluid dynamics techniques.
In the current study, the effect of the static shape deformation on the hypersonic aerodynamics and aerothermodynamics of a stacked tori Hypersonic Inflatable Aerodynamic Decelerator (HIAD) is demonstrated and analyzed in detail by solving compressible Navier-Stokes equations with Menter's shear stress transport (SST) turbulence model.
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