CAJ | 학술논문

现有的相似参数能够较好地解决无源流动的动力学相似和热力学相似问题.然而,如果流场中存在质量、动量和能量等源项,则须引入新的相似参数来指导实验的设计.首先,在连续介质假设、斯托克斯流体假设、量热完全气体假设和单相流假设的前提下,推导出了41个相似参数;然后,将之归纳整理成9个独立的相似参数,其中,3个与源项有关;最后,讨论了它们各自的物理意义.现有的单相流相似参数均可通过9个相似参数组合而来.实际应用中,可根据具体流动情况选择这9个相似参数中的某几个进行模拟.
현유적상사삼수능구교호지해결무원류동적동역학상사화열역학상사문제.연이,여과류장중존재질량、동량화능량등원항,칙수인입신적상사삼수래지도실험적설계.수선,재련속개질가설、사탁극사류체가설、량열완전기체가설화단상류가설적전제하,추도출료41개상사삼수;연후,장지귀납정리성9개독립적상사삼수,기중,3개여원항유관;최후,토론료타문각자적물리의의.현유적단상류상사삼수균가통과9개상사삼수조합이래.실제응용중,가근거구체류동정황선택저9개상사삼수중적모궤개진행모의.
@@@@Flow similarity parameters in existence have solved the dynamic similarity and thermodynamic similari?ty problems well. But new similarity parameters are needed to guide the design of experiments if there are source terms such as mass sources and momentum sources or energy sources existing in the flow field. On the other hand, thermodynamic similarity parameters in existence are multifarious, and not all of what are unat?tached. For these reasons,it is necessary to trim similarity parameters to make them more terser in guiding ex?periments. First, 41 similarity parameters were derived on the hypothesis of continuous media,Stokes fluid, calo?rically perfect gas and single-phase flow,then these 41 similarity parameters were trimed to 9 unattached ones (3 of those were obtained for the first time), and their physical significance was discussed at last. All the simi?larity parameters for single-phase flows could be obtained by combination of these 9 unattached similarity param?eters. Several parameters between these 9 should be chosen to consider according to the specified problems in application to actual problems.