Transfer wave propagation

The description of phenomena in a continuous medium such as a gas or a fluid often leads to partial differential equations. In particular, phenomena of wave propagation are described by a class of partial differential equations called hyperbolic, and these are essentially different in their properties from other classes such as those that describe equilibrium ( elhptic ) or diffusion and heat transfer ( para-bohc ). Prototypes are ... 

Substantial decrease of heat transfer coefficient Bubbly flow has less void but higher Ap than annular flow condensation rate depends on flow regime Transformation wave propagates along the system... 

Cheng, L. Y, D. A. Drew, and R. T. Lahey, Jr., 1983, An Analysis of Wave Dispersion, Sonic Velocity and Critical Flow in Two-Phase Mixtures, NUREG-CR-3372, US NRC, Washington, DC. (3) Cheng, L. Y., D. A. Drew, and R. T. Lahey, Jr., 1985, An Analysis of Wave Propagation in Bubbly, Two-Component, Two Phase Flow, Trans. ASMEJ. of Heat Transfer, 107 402-408. (3)... 

In practice, small pressure waves (such as sound waves) propagate virtually isentropically. The reasons for this are that, being a very small disturbance, the change is almost reversible and, by virtue of the high speed, there is very little heat transfer. Thus the speed of sound c is equal to the speed at which a small pressure wave propagates isentropically, so from equation 6.69... 

The pressure wave propagating through the premixed LNG and water collapses the vapor film surrounding the LNG. Intimate liquid-liquid contact occurs and, since the interface temperature is above T i, rapid heat transfer and vaporization occur. The time scale of the vaporization is comparable to that of the trigger step. Propagation and escalation then result. 

From similar space-time high-speed camera studies of the shock initiation to detonation of NMe, Cook et al (Ref 9) observed a flasb-across phenomenon in which, an apparent wave of luminescence originated in the explosive behind the initial compression front and propagated at a reported velocity of 35 mm/ftsec to overtake the initial compression front. This "flash, across phenomenon was interpreted as a heat transfer wave caused by a sudden increase in the thermal conductivity of the shock-compressed NMe. The phenomenon was taken as a direct observation of the "heat pulse , which Cook et al had predicted in 1955 (Ref 2)... 

Let us consider the propagation of a detonation wave in a tube, taking account of heat transfer and braking against the side walls of the tube. We will restrict ourselves to the one-dimensional theory in which heat transfer and drag are uniformly distributed over the entire cross-section of the tube. We denote by x the coordinate measured from the detonation wave front toward the unreacted gas, in the direction of wave propagation. It is in fact on this coordinate alone in the steady and one-dimensional theory that all the following quantities depend ... 

The propagation of pressure waves such as acoustic wave, shock wave, and Prandtl-Meyer expansion through a gas-solid suspension is a phenomenon associated primarily with the transfer of momentum although certain processes of energy transfer such as kinetic energy dissipation and heat transfer between gas and solids almost always occur. Typical applications of the pressure wave propagation include the measurements of the solids concentration and flow rate by use of acoustic devices as well as detonation combustion such as in a rocket propellant combustor or in the barrel of a gun. 

Y.-L Hwang, Wave propagation in mass-transfer processes From chromatography to distillation. Ind. Engng. Chem. Res., 1995,... 

When light is incident from the ambient side in the positive x direction, there is no wave propagating in the negative x direction inside the substrate. This means that Em+1 = 0. For the whole layered structure, the resulting complex reflection and transmission coefficients can be expressed by using the matrix elements of the total system transfer matrix of (6.8) ... 

B. T. Chu, Wave Propagation in a Reacting Mixture, 1958 Heat Transfer and Fluid Mechanics Institute, Stanford Stanford University Press, 1958,80-90 Wave Propagation and the Method of Characteristics in a Reacting Gas Mixture with Application to Hypersonic Flow, Tech. Note No. 57-213, Wright Air Development Center (1957). 

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