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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Mathematical Model of a Regenerative Fuel Cell for System Optimization
This thesis developed a system-level optimization model of a regenerative fuel cell (RFC) system for long-duration, off-world energy storage applications. Prior RFC design studies have typically been limited to reduced parameter sets and simplified constraints due to computational limitations relative to the number of relevant degrees of freedom. As a result, important nonlinear interactions between subsystems have not been fully captured. This work began to address that gap by developing a higher-fidelity, nonlinear optimization framework that incorporates a broader set of design variables and coupled constraints, enabling a multidimensional model that captures the coupled behavior of RFC subsystems and demonstrates the feasibility of applying optimization to such systems. An expanded system-level optimization approach was established that captures interactions between electrochemical performance, structural requirements, and storage design. This enabled a more comprehensive evaluation of trade-offs than conventional formulations. The model integrates four coupled subsystems: a fuel cell, an electrolyzer, reactant gas, and high-pressure storage tanks, and was formulated to accommodate a wide range of mission parameters, including operational time and required output power. It incorporates constraints on available solar array power, reactant mass balance between production and consumption, and pressure-dependent storage requirements. To enable reliable convergence, the optimization problem was reformulated to reduce dimensionality and improve numerical stability, with subsystem models organized for efficient evaluation. Problem dimensionality was reduced by consolidating lower-level design variables into higher-level representative quantities, and subsystem behavior was evaluated within the optimization loop. A multi-start initialization strategy was employed to mitigate sensitivity to local minima and improve solution quality, while nonlinear relationships were solved using robust numerical methods. The results showed that convergence was achieved across a range of required output power values. Specific energy reached a maximum at a critical mission power level, where the electrolyzer power matched the available solar input and operated near its voltage and current density limits. Beyond this point, further increases in required power resulted in less mass-efficient operation, increasing total system mass and reducing overall performance. The developed model represents an advancement in RFC system-level optimization by enabling analysis of a broader and more tightly coupled design space than previous considerations. While convergence behavior and computational cost remain challenges, the methods introduced improve solvability and allow inclusion of additional design variables with minimal loss of physical fidelity. However, the numerical results should not be interpreted as definitive design recommendations, as the model includes simplifying assumptions and omits several higher-order effects. Future work should extend this framework by incorporating additional subsystems and loss mechanisms, such as thermal management, parasitic power consumption, and reactant losses, to improve fidelity and ensure more representative design conclusions.
Mathematical Modeling of the Initiation Zone in the Adjacent HE Initiation Problem
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A mathematical design framework for membrane pre-concentration in energy-efficient recovery of fermentation products
Due to the dilute nature of products manufactured via fermentation and cell-free bioprocessing, dewatering is a common unit operation in downstream processing (DSP) for bioproduct recovery, but it is typically energy intensive. To improve DSP energy efficiency for bio-based small molecules, integrating high-pressure membrane pre-concentration is a promising process option. However, this approach is typically constrained by a tradeoff between concentration factor (CF) and product recovery (PR), namely increasing the CF typically results in greater product loss, and vice versa. Here we developed a model that enables process design guidelines to: (i) identify scenarios in which the additional energy consumption and product loss from membrane pre-concentration are justified for use in DSP, and (ii) determine the optimal CF that minimizes process specific energy consumption. We compared the energy consumption of high-pressure membrane-integrated processes to evaporation-only processes and applied the model to an experimental case study for the separation and purification of butyric acid from Clostridium tyrobutyricum fermentation using an in situ product recovery (ISPR) process. The model estimated that integrating a tangential-flow reverse osmosis (RO) pre-concentration unit could reduce process energy consumption up to 45%. The use of advanced membrane pre-concentration technologies, such as negative rejection membranes and organic solvent reverse osmosis (OSRO), have the potential to further reduce the overall process specific energy consumption up to 96%, projected based on modeling. Overall, membrane pre-concentration, especially when strategically integrated prior to an evaporation step with optimized process conditions, holds significant potential for improving DSP energy efficiency, particularly in applications requiring substantial solvent removal for product recovery from dilute mixtures.
“The unreasonable effectiveness of mathematics” in evading polaritonic losses
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Seismic Data Denoising Using Multi-Scale Mathematical Morphological Filtering
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Topological Signatures of Out-of-Distribution Examples A mathematical perspective on machine learning robustness
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Mathematical Morphological Filtering with a Self-adaptive Reconstruction Technique and Its Application to Local Seismic Data
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THE SHAPE OF DATA: MATHEMATICAL VISUALIZATION METHODS TO UNDERSTAND SAR DATASETS
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Apollonian Gasket: The Mathematical Surrogate for Loading
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Tensor calculus in spherical coordinates using Jacobi polynomials. Part-I: Mathematical analysis and derivations
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PARTIAL MATHEMATICAL SOLUTION OF THE THREE-DIMENSIONAL FOUR-BAR LINKAGE
Spacecraft design having four solar panels of which two adjacent hinges have skew axes in fixed coordinate system
A MATHEMATICAL METHOD TO PREDICT THE EFFECTS OF EROSIVE BURNING IN SOLID-PROPELLANT ROCKETS
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A new method for the mathematical analysis of certain nonlinear vibrations <ein neues verfahren zur mathematischen behandlung gewisser nichtlinearer schwingungen<
Periodic solution to differential equations for nonlinear vibration system
Utilization of a priori information by means of mathematical programming in the statistical interpretation of measured distributions
Statistical interpretation of measurement distributions - a priori information
A mathematical analysis of the suppression of high frequency combustion instabilities by a sound absorbing liner.
Sound absorbing liner effect on harmonic oscillations at cylindrical boundary of rocket combustion chamber
A mathematical investigation of the structure of light metals space technology project no. 5
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