A numerical model-'Cinematic' model-utilising analytical solutions, has been developed to simulate the dynamic behaviour of an ideal, liquid-liquid, concentric pipe, countercurrent heat exchanger. This numerical model is capable of providing time domain solution directly. The details of the numerical model is presented including the frequency-response testing of the model. Frequency of disturbance is varied over a wide range (0.1 cycle/min to 50 cycles/min) and the results are compared with analytically obtained frequency-responses using Laplace transforms and trial function approaches. The following interesting features of the asymptotic behaviour of the amplitude ratios, obtained by analytical methods (Laplace transforms and trial function approaches) are also observed from the results of the 'Cinematic' model. These checks provide a good means to validate the dynamics predicted by the 'Cinematic' model. (i) The sum of the limiting amplitude ratios (ω å 0), calculated based on the response at the outlets of the annulus and the pipe to the disturbance, equals unity.
|Number of pages||14|
|Journal||International Communications in Heat and Mass Transfer|
|Publication status||Published - 1 Jan 1994|