Abstract
Heat transfer between a thermoacoustic engine and its surrounding heat reservoirs can be out of phase with oscillating working gas temperature. The paper presents a generalized heat transfer model using a complex heat transfer exponent. Both the real part and the imaginary part of the heat transfer exponent change the power versus efficiency relationship quantitatively. When the real part of the heat transfer exponent is fixed, the power output P decreases and the efficiency η increases along with increasing of the imaginary part. The Optimization zone on the performance of the thermoacoustic heat engine is obtained. The results obtained will be helpful for the further understanding and the selection of the optimal operating mode of the thermoacoustic heat engine.
Highlights
IntroductionA thermoacoustic engine (prime mover and refrigerator) [1,2,3,4] is of the advantages of high reliability, low noise, simple construction, non-parts of motion, non-pollution, ability to self-start etc
A thermoacoustic engine [1,2,3,4] is of the advantages of high reliability, low noise, simple construction, non-parts of motion, non-pollution, ability to self-start etc
Some authors have assessed the effect of the heat transfer law on the performance of endoreversible [8, 9] and irreversible [10, 11]] heat engines and coolers
Summary
A thermoacoustic engine (prime mover and refrigerator) [1,2,3,4] is of the advantages of high reliability, low noise, simple construction, non-parts of motion, non-pollution, ability to self-start etc. This paper will use a generalized heat transfer law Q& ∝ ∆(T n ) , where n is complex, to find the power versus efficiency characteristics of the thermoacoustic heat engine. (19) and (20) indicate that both power output P and efficiency η of the engine are functions of the heat transfer surface area ratio (f) for given TH, TL, α , β , n1, n2, q& , φ and x. Taking the derivatives of P and η with respect to f and setting them equal zero ( dP = 0 and dη = 0 ), we df df can find that when f satisfies the following equation f0 Both power output P and efficiency η approach optimal values (1 − φx)αf0 F A[(1 + f0φδx1−n1 cos(n2 ln x)] − Bf0φδ sin(n2 [1 + 2φδf0 x1−n1 cos(n2 ln x) + ( f0φδx1−n1 )2 ](1 + f0 ).
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