Abstract
Laminar flow and heat transfer in different protruding-edged plate systems are modelled and analyzed in the present work. These include the Parallel Flow (PF) and the Counter Flow (CF) protruding-edgedplate exchangers as well as those systems being subjected to Constant Wall Temperature (CWT) and Uniform Heat Flux (UHF) conditions. These systems are subjected to normal free stream having both power-law velocity profile and same average velocity. The continuity, momentum and energy equations are transformed to either similarity or nonsimilar equations and then solved by using well validated finite difference methods. Accurate correlations for various flow and heat transfer parameters are obtained. It is found that there are specific power-law indices that maximize the heat transfer in both PF and CF systems. The maximum reported enhancement ratios are 1.075 and 1.109 for the PF and CF systems, respectively, at Pr = 100. These ratios are 1.076 and 1.023 for CWT and UHF conditions, respectively, at Pr = 128. Per same friction force, the CF system is preferable over the PF system only when the power-law indices are smaller than zero. Finally, this work demonstrates that by appropriately distributing the free stream velocity, the heat transfer from a plate can be increased up to 10% fold.
Highlights
Conversion and utilization of energy often involve heat transfer process
By analyzing the Constant Wall Temperature (CWT) data of this figure, it can be shown that Nu L ReL,h is proportional to Prhn where the minimum value of n is n = 0.3376 when Prh = 100 and m = −1 while the maximum value of n is n = 0.4068 when Prh = 0.5 and m = 5 . by analyzing the Uniform Heat Flux (UHF) data in Figure 3, it can be seen that Nu L ReL,c is proportional to Prcn where the minimum value of n is n = 0.3355 when Prh = 100 and m = −1 while the maximum value of n is n = 0.4349 when Prh = 0.5 and m = 5
Laminar flow and heat transfer in various protruding-edged plate systems are modeled and investigated in the present work. These systems include the Parallel Flow and the Counter Flow protruding-edged plate exchangers as well as those systems being subjected to CWT and UHF conditions
Summary
Conversion and utilization of energy often involve heat transfer process. This process is encountered in manyHow to cite this paper: Khaled, A.R.A. (2015) Modelling and Theoretical Analysis of Laminar Flow and Heat Transfer in Various Protruding-Edged Plate Systems. Conversion and utilization of energy often involve heat transfer process. How to cite this paper: Khaled, A.R.A. Journal of Electronics Cooling and Thermal Control, 5, 45-65. These applications include steam generation and condensation in power plants; sensible heating and cooling of viscous fluids as in thermal processing of pharmaceutical, agricultural and hygiene products; evaporation and condensation of refrigerants in refrigeration and air-conditioning systems; cooling of engine and turbomachinery systems; and cooling of electrical appliances and electronic devices. It is well known that improving heat transfer over that in the typical practice results in significant increases in both the thermal efficiency and the economics of the plant operation. Improving heat transfer is a terminology that is frequently referred to it in the literature as heat transfer enhancement or augmentation [1]
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