GPU Based Modelling and Analysis for Parallel Fractional Order Derivative Model of the Spiral-Plate Heat Exchanger

Heat exchangers are commonly used in various industries. A spiral-plate heat exchanger with two fluids is a compact plant that only requires a small space and is excellent in high heat transfer efficiency. However, the spiral-plate heat exchanger is a nonlinear plant with uncertainties, considering the difference between the heat fluid, the heated fluid, and other complex factors. The fractional order derivation model is more accurate than the traditional integer order model. In this paper, a parallel fractional order derivation model is proposed by considering the merit of the graphics processing unit (GPU). Then, the parallel fractional order derivation model for the spiral-plate heat exchanger is constructed. Simulations show the relationships between the output temperature of heated fluid and the orders of fractional order derivatives with two directional fluids impacted by complex factors, namely, the volume flow rate in hot fluid, and the volume flow rate in cold fluid, respectively.

Performance Analysis of Channels in Adiabatic and Non-adiabatic Spiral Plate Heat Exchangers: A Thermodynamic Study

This paper presents a systematic analysis of the thermodynamic performance of spiral turns in spiral plate heat exchangers (SPHEs), with and without heat leakage to the environment. An optimal design algorithm for SPHEs is developed to find higher compactness and overall heat transfer coefficient by increasing channels' pressure drops, maintaining geometric aspect ratio and minimizing the total costs. To specify the rate of heat loss to the environment, rate of internal heat transfer and channel temperature distribution, a mathematical model is proposed based on mass and energy balance equations to model the SPHE as a hypothetical heat exchanger network (HENs). Entropy-based and entransy-based performance evaluation methods in Heat Exchangers (HEs) are also examined to investigate the impact of heat leakage on the performance and irreversibility of the SPHEs. A single-phase counter-current SPHE is then designed as a case study, to examine the proposed mathematical and performance assessment models. The case study is defined and analyzed based on heat leakage to the environment. Three scenarios are then introduced namely heat leakage and no heat leakage to the environment and transferring the net heat between the streams. Results highlight the applicability of the proposed mathematical modelling and temperature distributions of channels in thermodynamics analysis of SPHEs with/without heat leakage to the environment. The findings also suggest that smaller adiabatic SPHEs can be a suitable substitute for non-adiabatic SPHEs providing appropriate insulation that covers outermost channels and prevent the leakage of the heat to the environment.

New experimental Nusselt number correlation for spiral plate heat exchanger optimized using a code

A system of a spiral plate heat exchanger and its required auxiliaries was built. The pitches of heat exchanger were built differently to provide almost two geometrically different heat exchangers in a single package. Several experiments were done and working parameters of the heat exchanger were measured. A code was written to find a new optimised correlation that could approximate the Nusselt Number based on the obtained experimental data from 51 reliable experiments. As an advantage, that correlation was valid for low Reynolds Numbers. Also, in most of previous works, the correlation for Nusselt Number in one side of the heat exchanger was supposed to be known and the correlation for the other side was determined. But, in this study, the equation was found using calculations for both sides simultaneously. The overal heat transfer coefficient calculated from the proposed correlation, made an average error of 3.65% to the experimental data. A complete uncertainty analysis was done and revealed that the results from the new correlation for the Nusselt Number lies between [Formula: see text] around the real Nusselt Number.