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between (b>>s), 96 (V.H. Hahnemann and L. Ehret, 1941) can Re be used for calculating the friction coefficient, which is based on Hagen‐Poiseuilles solution for laminar flow between parallel plates ( Equation 9‐15). f 96 1 1.3553 1.9467 2 1.7012 3 0.9564 4 0.2537 5 Re Equation 9‐15 where Re is Reynolds number and α is the aspect ratio, which is defined as the ratio of the channel height to the channel width. By replacing the friction coefficient with their suggestion, Equation 9‐14 can be reformulated in the form of Equation 9‐16, which is adopted for the pressure drop calculations in the present work. P 12 L m Equation 9‐16 s3 b In the above equation, s denotes the distance between every two heat exchanger plates, m is the mass flow of the working fluid, b is the width of the flow channels and L is the length of the flow channel. The density and the dynamic viscosity are calculated at the fluid mean temperature. Due to the relatively high system working pressure, the heat exchanger wall thickness is also checked by Barlow’s Formula, which is used for calculating the hoop stress of a certain material of a pressurized circular pipe (Equation 9‐17). 1 R p Equation 9‐17 t where t denotes the thickness of the heat exchanger tube, p denotes the tube’s inside pressure, σ1 is the hoop stress for the heat exchanger material and R is the heat exchange tube radius. 108PDF Image | Thermodynamic Cycles using Carbon Dioxide
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