沈静珠, 影井清一郎, 若尾法昭. Parameter Estimation by Fourier Analysis——Determination of Gas-Particle Heat Transfer Coefficient in Packed Bed[J]. CIESC Journal, 1981, (2).
沈静珠, 影井清一郎, 若尾法昭. Parameter Estimation by Fourier Analysis——Determination of Gas-Particle Heat Transfer Coefficient in Packed Bed[J]. CIESC Journal, 1981, (2).DOI:
A stimulus-response technique is used to determine gas-particle heat transfer coefficient in packed bed. The input signal is a one-shot temperature impulse of arbitrary shape and at a distance downstream from the input point the temperature response is measured. The mathematical model adopted for the packed bed is one-dimensional heterogeneous Dispersion-Concentric model. Laplace transform method is used in the solution of the partial differential equations of the model. As the resulting transfer function is too complicated
a Fourier analysis method is applied. The input and response signals are both expanded in Fourier series form. The Fourier coefficients of the response signal can be predicted directly from those of the input signal and the transfer function and thus the calculated response signal function is obtained
which can then be fitted with the measured one to carry out the parameter estimation. In the procedure of curve fitting the mean square deviation between calculated and measured response functions in the whole time domain is minimized. It is found that the result of this work can be put into an expression assuming the same form of a known correlation of mass transfer Nu=2+l.lPr1/3Re0.6 in which the Nusselt number Nu contains the gas-particle heat transfer coefficient determined. The result also shows that in the laminar flow regime the Nusselt number of gas-particle heat transfer does not decrease appreciably with the decrease in Reynolds number. The exprimental equipment is also described in the paper.