The purpose of this paper is to investigate the distribution characteristics of temperature and emissivity in the applications of multi-band pyrometry. We establish the concept of the measurement coordinates, including the temperature coordinate axis and emissivity coordinate axis. Through numerical simulations, we present the corresponding results. The discussions not only provide a simplified and effective expression of the solutions of multi-band pyrometry, but are also helpful to design or optimize a multi-band radiation pyrometer by investigating beforehand the distribution rules of temperature and emissivity in the measurement coordinates.
The method of radiation thermometry has many advantages such as the wide temperature measurement range, the needless of establishing heat balance and has a good applicable prospect in aerospace as well as remote sensing. The theory of measuring real temperature in radiation thermometry is studied in this article by using mathematical analysis. This article establishes radiation thermometry model and points out the condition of measuring real temperature. A phenomenon is revealed through the analysis of radiation thermometry model that the real temperature of objects can be measured at specific wavelength even if the set emissivity function of pyrometer is different from object’s emissivity function. According to the phenomenon, a new radiation thermometry method— —the multi-wavelength thermometry based on specific wavelength is proposed in this paper. This new method relaxes the limits of object’s emissivity function from traditional multi-wavelength thermometry methods, which can measure the real temperature of the object as long as the specific wavelength can be found. According to the simulation experiment, the author proves that the multiwavelength radiation thermometry based on specific wavelength can measure the real temperature of the object, and points out that specific wavelength has numerically uncertain property. Finally, the author indicates the problems existing in the multi-wavelength thermometry based on specific wavelength and the future direction of the radiation thermometry development.
In this paper, a non-dimensional emissivity model with universality is established. For the tri-wavelength method of temperature measurement, based on the non-dimensional emissivity, the applicable measurement condition and theoretical analysis of wavelength choice are mainly introduced. In the discussion of theoretical analysis of wavelength choice, by optimizing the analysis of measurement method and the concept of isothermal line induced by the measurement coordinates, two kinds of ideal choice rules of measurement wavelength are put forward, which will be necessary to the technology application of this tri-wavelength method. Meanwhile the optimizing idea is also applicable to multi-wavelength method of temperature measurement.
It is helpful to guide the development and application of batteries to establish a correct volt ampere function mechanism model. But, two scientific issues need to be solved: First, how many mechanisms battery has; Second, how to establish the mechanism model alone, in the case of overlapping of these mechanisms. There are linear and nonlinear states in volt ampere characteristics. The mathematical property of monotonic decreasing of volt-amperes characteristics indicates that battery is of only three kinds of mechanisms. Without changing the basic form of volt ampere function, and under the principle of considering the mechanism function's working region, we propose a mechanism function which meets the monotonic decreasing of the voltammetric curve of battery. The proposed mechanism function is based on the derivative law of each mechanism function in the voltammetric function of battery. By using the voltammetric data, the obtained mechanism function can accurately predict the potential (current or voltage) when the independent variable of battery is zero, and also it lays a theoretical foundation for the internal working mechanism of battery.
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