Distribution of granular temperatures in granular gas mixtures is investigated analytically and numerically. We analyze space uniform systems in a homogeneous cooling state (HCS) and under a uniform heating with a mass-dependent heating rate Γ k ∼ m γ k . We demonstrate that for steep size distributions of particles the granular temperatures obey a universal powerlaw distribution, T k ∼ m α k , where the exponent α does not depend on a particular form of the size distribution, the number of species and inelasticity of the grains. Moreover, α is a universal constant for a HCS and depends piecewise linearly on γ for heated gases. The predictions of our scaling theory agree well with the numerical results.
Using the exceptional inverse image functor for quasi-finite proper morphisms of separated tame Deligne–Mumford stacks of finite type over a field k, Serre duality is obtained in varying degrees of generality for tame Deligne–Mumford stacks. The approach follows that for schemes.
Problem. This article indicates a way to solve the problem of complicated cold start and high smoky operation in preparation for accepting the load of a domestic diesel engine 4DTNA1 with direct fuel injection by optimizing the parameters of the components of the start-up system and automating the start-up and idling processes according to rational control algorithms. According to the necessity solving this problem, requirements have been formulated for organizing and conducting a multifactorial experimental study of the starting qualities of an automobile diesel engine. Goal. The main goal of the work is to form a scientific and technical approach to creating a system for starting a vehicle diesel engine, which will optimize its component’s properties and develop control algorithms. To achieve this goal it is necessary to create a plan of multifactorial research, develop and build a physical model for experimental research, perform research and evaluate the results. Methodology. The main provisions on the organization of a multifactorial experimental study of the starting qualities of an automobile diesel engine are highlighted. Design of experiments method used when creating a plan for experimental research. Results. The features and advantages of the created physical model in relation to traditional solutions for studying the starting qualities of automobile engines, including the control of an external load to reproduce the impact on engine oil of low temperature in conditions of difficult access to climatic chambers, are presented. The choice of a vortex-dimensional sample of a physical model for conducting start-up studies through a promising, reduced by 1-1.5 units, compression ratio and the possibility of a qualitative study of the effect of pre-start heating of the volume of the combustion chamber with a glow plug on starting parameters. Originality. The actual values of the selected 6 most influential linearly independent factors on the start-up process during the experimental study according to the accepted plan of 77 test cold starts are indicated. It is noted that the actual result of establishing certain controllable factors is random with a certain error in the vicinity of the exact value in accordance with the orthogonal plan of the experiment. Such a variation of real values requires the use of a special mathematical apparatus, implemented by the authors in the Approximation_LSM software product, when analyzing the results of a 6factor experimental study. Practical value. A rational mathematical plan of a six-factor experiment has been prepared as a clear example of recording the measured and calculated parameters of the next optimization.
We establish the existence of models of quadric surface bundles with prescribed étale local forms.
We establish the existence of models of quadric surface bundles with prescribed étale local forms.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.