Isoflux contact area

Doubly Connected Isoflux Contact Areas on Half-Space... 

Isoflux Contact Area p = 0. The preceding general solution with p = 0 yields the isoflux solution reported by Mikic and Rohsenow [65] ... 

Introduction. Transient spreading resistance occurs during startup and is important in certain micro-electronic systems. The spreading resistance can be defined with respect to the area-average temperature as a single point temperature such as the centroid. Solutions have been reported for isoflux contact areas on half-spaces, circular contact areas on circular flux tubes, and strips on channels. 

M. M. Yovanovich, Transient Spreading Resistance of Arbitrary Isoflux Contact Areas Development of a Universal Time Function, AIAA-97-2458, AIAA 32nd Thermophysics Conference, Atlanta, GA, June 23-25,1997. 

Square Contact Area on Square Flux Tube. Mikic and Rohsenow [65] reported the solution for an isoflux square contact area on the end of a semi-infinite square flux tube. The solution was recast [74] to give the dimensionless spreading resistance ... 

If the external resistance is negligible (Bi — °°), the temperature at the lower face of the disk is assumed to be isothermal. The solutions for isoflux p = 0 heat source and isothermal base temperature were given by Kennedy [42] for (1) the centroid temperature and (2) the area-average contact area temperature. 

The solution for the isoflux boundary condition and with external thermal resistance was recently reexamined by Song et al. [156] and Lee et al. [157]. These researchers nondimen-sionalized the constriction resistance based on the centroid and area-average temperatures using the square root of the contact area as recommended by Chow and Yovanovich [15] and Yovanovich [132,137,144-146,150], and compared the analytical results against the numerical results reported by Nelson and Sayers [158] over the full range of the independent parameters Bi, e, and x. Nelson and Sayers [158] also chose the square root of the contact area to report their numerical results. The analytical and numerical results were reported to be in excellent agreement. 

The effect of single and multiple isotropic layers or coatings on the end of a circular flux tube has been determined by Antonetti [2] and Sridhar et al. [107]. The heat enters the end of the circular flux tube of radius b and thermal conductivity k3 through a coaxial, circular contact area that is in perfect thermal contact with an isotropic layer of thermal conductivity k, and thickness This layer is in perfect contact with a second layer of thermal conductivity k2 and thickness t2 that is in perfect contact with the flux tube having thermal conductivity k3 (Fig. 3.22). The lateral boundary of the flux tube is adiabatic and the contact plane outside the contact area is also adiabatic. The boundary condition over the contact area may be (1) isoflux or (2) isothermal. The dimensionless constriction resistance p2 layers = 4k3aRc is defined with respect to the thermal conductivity of the flux... 

Spreading Resistance of Isoflux Circular Contact Area on Half-Space. Beck [6] reported the following integral solution for a circular area of radius a that is subjected to a uniform and constant flux q for t > 0 ... 

Isoflux Circular Contact Area on Circular Flux Tube. Turyk and Yovanovich [118] reported the analytical solutions for transient spreading resistance within semi-infinite circular... 

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