Download Convective Heat and Mass Transfer in Rotating Disk Systems by Igor V. Shevchuk PDF

By Igor V. Shevchuk

The e-book is dedicated to research of a sequence of difficulties of convective warmth and mass move in rotating-disk platforms. Such platforms are frequent in scienti?c and engineering functions. As examples from the sensible sector, one could point out gasoline turbine and computing device engineering, disk brakes of autos, rotating-disk air cleaners, platforms of microclimate, extractors, dispensers of drinks, evaporators, c- cular saws, scientific apparatus, nutrition procedure engineering, and so on. one of the scienti?c functions, it will be significant to show rotating-disk electrodes used for experim- tal choice of the diffusion coef?cient in electrolytes. The procedure together with a ?xed disk and a rotating cone that touches the disk via its vertex is standard for size of the viscosity coef?cient of beverages. For time being, huge quantity of experimental and computational info on par- eters of ?uid ?ow, warmth and mass move in numerous kinds of rotating-disk structures were collected, and varied theoretical methods to their simulation were built. This evidently reasons a necessity of systematization and generalization of those information in a e-book shape.

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Example text

0 z/δT coordinates. 58) are in force, one can rewrite these profiles as follows: V + = ξ n / cf /2, T + = ξTnT cf /2/St. 66) Since these power-law equations do not hold in the viscous sub-layer, they are replaced here with the following equations: V + = z+ , T + = Pr z+ . 67) at the boundary of the viscous sub-layer (at + the coordinate z+ 1 ) and heat conduction sub-layer (at the coordinate z1T ) and transforming, one can finally obtain formulas for the surface friction coefficient and the Stanton number −2n/(n+1) 2(n−1)/(n+1) · ReV∗ cf /2 = (z+ 1) nT −1 −nT ReV∗ (cf 2)(1−nT )/2 St = (z+ 1) −nT , + nT −1 −nT (z+ Pr .

1 Momentum Boundary Layer The essence of integral methods consists in solving Eqs. 28) closed with models for the velocity profiles and shear stress components on the wall for the momentum boundary layer, as well as for the temperature profiles (or enthalpy thickness) and wall heat flux for the thermal boundary layer. The most perfect integral method among those known in the literature is the method of [138, 139], which developed ideas of the authors of [41, 80]. A key point of the method [138, 139] consists in use of a generalized form of the models that takes into account existence of laminar or turbulent flow via assigning particular numerical values to certain parameters of the model.

It was shown in works [35, 49, 66, 67, 120] that the number of spiral vortices emerging, as the flow instability develops, depends on the local Reynolds number Reω . For example, authors of the work [49] observed 14–16 vortices with the angle ε equal to 20 degrees. 0698Re1/2 ω . 9) This equation agrees well with experimental data of the authors of the works [49, 120, 222]. 2 summarizes data characterizing Reynolds numbers at the onset of instability, beginning and end of transition to turbulent flow obtained in experiments of different authors.

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