scholarly journals Equilibrium cluster fluids: pair interactions via inverse design

Soft Matter ◽  
2015 ◽  
Vol 11 (48) ◽  
pp. 9342-9354 ◽  
Author(s):  
R. B. Jadrich ◽  
J. A. Bollinger ◽  
B. A. Lindquist ◽  
T. M. Truskett

Inverse methods of statistical mechanics are becoming productive tools in the design of materials with specific microstructures or properties.

Author(s):  
Mirko Gamba ◽  
Trey Pavy ◽  
John R. Howell

Inverse methods have recently been introduced and applied to the design and control of thermal systems, particularly to systems where radiative transfer is the main heat transfer mode. The results of the steady state design of a representative radiative system using inverse methods have been experimentally validated on a modeled physical system. Few experiments have been developed to validate radiative transfer calculations even in simple systems. This is because it is difficult to separate other modes of energy transfer from radiative transfer, and, in transient systems, thermal inertia effects often mask the precise measurement of radiative effects. The present study is a continuation of the earlier validation work, performed to further study and eventually validate the inverse design and control methods by modeling and designing a simplified physical thermal system. A main focus of the present study is to exploit the similarities between thermal radiative systems lacking thermal inertia and visible light systems. Because of the absence of thermal capacitance, the response of a visible light system depends intrinsically on the state of the light source. The present study considers the inverse design of a newly developed experimental apparatus designed to simulate a low capacitance, two-dimensional radiative enclosure. The apparatus relies on the direct analogy between visible light and radiative heat transfer in a cold, low capacitance system where conduction and convection are suppressed. The system is designed so that both steady state and transient conditions can be achieved. The enclosure is equipped with individually controlled low-power lamps as the source of radiant flux, and these mimic radiant heaters in a real system. The design surface is instrumented with light detectors so that the intensity of the illumination on this surface can be quantified and eventually compared with the design goal. This paper illustrates the characteristics and capabilities of the experimental setup, along with the validity of inverse methods for steady state inverse design of the enclosure to achieve specified conditions on the design surface and sequent validation of the results on the experimental system.


2000 ◽  
Author(s):  
R. A. Van den Braembussche ◽  
J. Antolin ◽  
R. Thygesen

Abstract The use of a three-dimensional inverse method for the design of inlet guide vanes, a centrifugal impeller and return channel is demonstrated. The geometry of the different components are iteratively defined until a prescribed velocity distribution is obtained. The procedure and design criteria for each component are described and the final result is presented. The advantages, disadvantages and problems related to the use of inverse methods are discussed.


2021 ◽  
Author(s):  
Christophe Geuens ◽  
Tom Verstraete

Abstract Design methodologies for axial compressor airfoils have undergone significant changes over the past decades. While inverse design methods have played a significant historical role, today they are mostly replaced by direct methods. Inverse methods do impose either the desired pressure or velocity distribution and search for the corresponding blade profile, in contrast to direct methods which modify directly the blade shape to reduce losses. Inverse methods therefore require the designer to know pressure or velocity profiles which provide low losses, and are as such mostly effective only in the hands of an experienced designer. Inverse methods, however, pose some advantages: through setting velocity profiles which feature good off-design performance, the computational cost for the design of profiles can be significantly reduced compared to direct methods, which require to simulate multiple operating points. Additionally, inverse methods offer a way to adapt blades for experimental testing if the wind tunnel imposes restrictions on e.g. Mach number, allowing for similar boundary layer conditions. Finally, inverse methods can be used to deduce the blade geometry from measured or published velocity distributions. Within this article, we aim to verify the use of inverse methods by applying more recent optimisation techniques to the inverse problem. Specifically, we test the performance of an inverse method that uses a gradient based technique to solve the inverse problem. The merits of the inverse method are investigated for different use cases. It is found that conventional, direct design methods are preferred for design improvement, although more expensive. The inverse method is, however, well-suited for adapting existing profiles to altered operating conditions, and for reproducing the blade shape based on published data.


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