AIChE Journal · 1993 · 28 citations · 10 references
EngineeringComputational EngineeringMechanical EngineeringComputational Heat TransferFluid DynamicsHeat TransferHeat ExchangersHeat FlowHeat Transfer AnalysisHeat Transfer In FluidsHeat Transfer ModelingSteady-state Heat TransferCounterflow Heat ExchangeCounterflow Heat ExchangersHeat Exchanger PerformanceInverse Laplace TransformLaplace TransformNumerical Inversion Of Laplace TransformsShell-and-tube Heat ExchangersTemperature Profiles
Abstract A versatile and efficient method is developed for predicting dynamic performances of parallel and counterflow heat exchangers subject to arbitrary temperature variations and step flow disturbances, including the effect of flow maldistribution and the influence of heat capacities of both fluids, shell wall and tube bank as well as nonzero initial temperatures. Two algorithms of numerical inversion of the Laplace transform are introduced to determine the final temperature profiles in the realtime domain and some examples are calculated with nonuniform initial conditions. The accuracy of the proposed method is demonstrated with the calculated results at new steady states. Experiments are carried out on a labor‐sized heat exchanger to further examine the feasibility of this method and the comparison between calculated and measured temperature profiles is illustrated and discussed.
10
Elementary Differential Equations and Boundary Value Problems.
D. F. Bailey, William E. Boyce, R. C. DiPrima et al. · American Mathematical Monthly · 1977 · 314 citations