Project area C: Components of Carnot Batteries: Machines
Inverse design tool for rotary positive displacement machines with liquid injection
Project content
The objective of the project is to develop a tool for the inverse design of rotary positive displacement machines (RPDM) (e.g. twin-screw machines, rotary vane machines) with liquid injection on the basis of a chamber model simulation, which is provided to the participants of the Priority Programme for modelling the fluid energy machine within thermodynamic cycles (compressor or expander). Input parameters for the inverse design tool are the requirements from the selected process, i.e. in addition to the type of fluid and the mass flow rates, the fluid conditions at the inlet port, injection nozzle and outlet port of the RPDM (e.g. pressure, temperature, vapour quality). The design parameters to be inversely determined are the machine geometry and the speed. Within the tool the design parameters are optimized with regard to energetic efficiency. The optimization of machine geometry is not only limited to machine size, but also includes specific dimensionless geometric parameters of RPDM (e.g. build-in volume ratio, wrap angle, diameter to length ratio) with particular focus on the fluid dependency. Crucial factors in the design of the RPDM are known to be the correct determination of the fluid-dependent effects, such as the two-phase gap mass flow rates, the heat transfers due to evaporation or condensation, and the throttling effects in the inlet and outlet ports of the machine. The outlined objective is associated with various scientific challenges. On the one hand, it requires an automated chamber model generation for the RPDM. Abstraction of the geometry into capacities (e.g. volumes, machine parts) and their connections for exchange of mass and/or energy is needed. Furthermore, valid models for the exchange of mass and energy between the capacities are required (e.g. multiphase flows through gaps or valves/openings, phase change and heat transfer models). In this respect, one focus of the project will be the development of valid models for the effects of an injected liquid (mass flow rate of the working fluid or an auxiliary fluid, e.g. oil) into the working chambers of the RPDM. Questions about the temporal development of the liquid jet, the time-dependent distribution of the liquid in the rotating working chambers and the mass and heat transfer between gas and liquid phases are taken up and investigated experimentally using a generic test rig and accompanying numerically. With respect to the Carnot battery, the possibility to adjust the outlet temperature of the RPDM to a temperature requirement for the process by injecting a liquid phase - while maintaining an optimal pressure ratio for the machine - appears to be advantageous.
Contact information
Professor Dr.-Ing. Andreas Brümmer
Technische Universität Dortmund
Fachgebiet Fluidtechnik
Inverse design of turbomachines using transfer functions
Project content
The inverse design of a Carnot Battery requires a continuous inverse method for all components, including the consideration of local market conditions. This includes both the investment costs (capex) and the operating costs (opex) on the expenditure side, as well as the potentials on the revenue side. Therefore, transfer functions between different levels of the design (market, thermodynamic cycle, components) are necessary for the inverse method. Modelling with the transfer functions makes it possible to follow an inverse approach and obtain a Pareto front with the parameters of the market as the result. The market conditions or market requirements are the constraints for determining the Pareto front. The thermodynamic cycle can be understood as a transfer function from these market requirements to the requirements of the components.
The transfer function between the specific head and the geometric variables is to be formulated, which is defined here as the transfer function of geometry. The diameter and the volumetric flow rate, respectively the throughflow area, are determined by a surface-to-volume ratio which is related to the efficiency. The mass flow determined from the thermodynamic cycle and the fluid is included in the transfer function of the quality in the second step. This function describes the quality in a form that the mass flow and the pressure level influence the efficiency and the "quantity" of the machines (possibly multi-flow). The energy conversion defined in the transfer function of the geometry determines the number of stages and the mechanical strength requirements and impacts quality and quantity as well. Considering the functional relationship for an "optimal" machine, the specific head and the circumferential Mach number can be used to determine the other variables. However, this is limited to the design point and does not provide any information about the flexibility of the machine and, thus, no information about the part-load behaviour. The functional relationship outside the "optimum" between the volume flow and the specific head is not defined here. The flexibility defined from the transfer function of the thermodynamic cycle describes the limits for the machine design. The required flexibility influences the geometry and quality transfer functions and represents a further development named the transfer function of flexibility. With this transfer function, a significant expansion of knowledge regarding inverse design methods is achieved, in which the requirements for part-load are included in the turbomachine design. A continuous description of the transfer function and, thus, abstraction of the design methodology allows an inverse system design. This abstraction supports the following objectives of the priority program (SPP 2403):
a. Size dependence, part-load behaviour and fluctuations
b. Flexible fluid energy machines and their behaviour as a function of fluid, load range and pressure ratio.
Contact information
Professor Dr.-Ing. Dieter Brillert
Universität Duisburg-Essen
Fakultät für Ingenieurwissenschaften
Lehrstuhl für Strömungsmaschinen
Inverse aerodynamic design of turbo components for Carnot batteries by means of physics informed networks enhanced by generative learning
Project content
We develop new simulation methods based on deep neural networks that shorten computation times with respect to traditional CFD considerably. In particular, we apply physics informed neural networks for a rough representation of fluid flows in turbo-machinery components operating in Carnot batteries. Such rough solutions are refined by conditional generative adversarial networks (GAN) in order to create realistic fine structure of turbulent flows. in particular, we study the physical and the generalization properties of such deep learning based solutions to fluid flow with respect to changing boundary conditions and geometry. This enables us to rapidly evaluate designs under strongly changing boundary conditions, as they aretypical for the discharging cycle of a Carnot battery. In this way, we provide an invaluable tools for the inverse design of turbocomponents for Carnot batteries.
Contact information
Professor Dr. Hanno Gottschalk
Technische Universität Berlin
Fakultät II - Mathematik und Naturwissenschaften
Institut für Mathematik
Professorin Dr. Francesca di Mare
Ruhr-Universität Bochum
Fakultät für Maschinenbau
Lehrstuhl für Thermische Turbomaschinen und Flugtriebwerke