Diffusion Equation

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• Medical Device Link .
  in the chamber is assumed to be consistent with the diffusion equations: where C is the gas/vapor concentration, t is the time, 2 is the spatial partial differential operator, S is the sorption of the gas/vapor molecules into the load, and D,...
• Electrochemical Oxygen Sensors (.pdf)
  The oxygen sensors used in BW instruments are of the self-powered, diffusion-limited, metal-air battery type. They are comprised of an anode, an electrolyte and an air cathode. Oxygen sensors are current generators, and the current is proportional to the rate of oxygen consumption (Faraday's Law...
• Preface
  to biomedical optics and then cover single-scatterer theories, Monte Carlo. modeling of photon transport, convolution for broadbeam responses, radiative. transfer equation and diffusion theory, hybrid Monte Carlo method and diffusion. theory, and sensing of optical properties and spectroscopy...
• The Preparation of Calibration Standards for Volatile Organic Compounds - A Question of Traceability (.pdf)
  Methods are compared for preparing calibration standards for volatile organic compound analysis. Traceability is compared for static and dynamic methods such as direct mechanical dilution, diffusion and permeation tube extraction, exponential dilution, and electrochemical extraction...
• MICRO: Guerra (April 2001)
  Inductively coupled plasma ashing experiments demonstrate that lowering the pressure and temperature of the plasma chamber reduces the diffusion of oxygen into the low-k dielectric layer. To fully take advantage of copper interconnects in semiconductor devices, low-k dielectric materials must...
• Choosing the Most Suitable Theory in Laser Diffraction Mie or Fraunhofer? (.pdf)
  Particle size analysis is based on the inversion of a diffusion matrix, the resolution of which is based on theories stemming from the equations of Maxwell. The Fraunhofer approximation and the Mie theory enable particle size distributions between several tens of nanometres and several thousands...
• Carbon Paraequilibrium in Austenitic Stainless Steel
  Carburization of austenitic stainless steels under paraequilibriumconditions-i.e., at (low) temperatures where there is essentially no substitutional diffusion-leads to a family of steels with remarkable properties: enhanced hardness, resulting in improved wear behavior, enhanced fatigue...
• Toward the Instant-On Actuator
  , and the diffusion time varies with the steel B-H curve. Thus, the above diffusion time equation must be modified to account for nonlinearity. Equations for nonlinear magnetic diffusion show that saturation can greatly reduce t m, typically by as much as a factor of eight or more. Again, electromagnetic FEA...
• FE software targets complex multiphysics
  anything that can be described mathematically. It includes equations for some of the most common problems such as stress analysis, fluid transport, heat transfer, and mass diffusion. Users can also type in the governing partial differential equations (PDEs) for problems that describe phenomena...
• Solving for heat, stress, flow, and more
  , electric fields, and diffusion. However, interactions between these processes often catch engineers by surprise, creating problems not easily foreseen despite experience and training. Fortunately, FEA tools are starting to address these problems through multiphysics analysis. The best programs let...

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