Generalized Stefan problem

Verification of method for calculating parameters of acoustic-magnetic devices installed in heat supply system of green­house complex

“…Significant advantages over various indicators have similarity criteria. Being dimensionless complexes, they are independent of the dimensions of the compared structures [4]. In works [3; 5], based on the second and third similarity theorems, the number and composition of the criteria needed to create new devices from previously developed ones are established.…”

Assessing and Forecasting Fatigue Strength of Metals and Alloys under Cyclic Loads

“…Such equations represent approximation by power function the dependence of one dimensionless number, for example, the Nusselt similarity criterion, on other dimensionless numbers (for example, on the Grashof number for free convection and on the Reynolds number for forced flow, etc.). A similar approach is used in the field of materials science (in particular, to rationalize the graphical presentation of fatigue test results [1,8] in hydraulics and in heating engineering [24]). Provisions of similarity theory, dimensional analysis, and the method of characteristic scales, which represent different areas of generalized analysis, are used in most methods [24].…”

“…A similar approach is used in the field of materials science (in particular, to rationalize the graphical presentation of fatigue test results [1,8] in hydraulics and in heating engineering [24]). Provisions of similarity theory, dimensional analysis, and the method of characteristic scales, which represent different areas of generalized analysis, are used in most methods [24]. According to [24], such a transformation of information regarding test results is a variant of a special method to reduce the difficulties associated with the multiplicity of the internal and external parameters of the task.…”

“…Provisions of similarity theory, dimensional analysis, and the method of characteristic scales, which represent different areas of generalized analysis, are used in most methods [24]. According to [24], such a transformation of information regarding test results is a variant of a special method to reduce the difficulties associated with the multiplicity of the internal and external parameters of the task. Transforming the problem parameters with further transition to their dimensionless analogues makes it possible to obtain forms of dependencies between the quantities under study that are more convenient for analytical description, to predict the behavior of the system under study, and, after restoring the traditional form of the parameters from their transformed analogues, to formulate the obtained forecast guidelines for a specific engineering system.…”