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significant decrease » significant increase (Expand Search), significantly increased (Expand Search)
cases increased » levels increased (Expand Search), cycles increases (Expand Search)
larger decrease » marked decrease (Expand Search)
significant decrease » significant increase (Expand Search), significantly increased (Expand Search)
cases increased » levels increased (Expand Search), cycles increases (Expand Search)
larger decrease » marked decrease (Expand Search)
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Each subfigure shows a different local size (LS) and context size (CS) configuration, where the reliability of the model across different initializations is measured in R-squared.
Published 2025“…Moreover, reliability decreases with a larger dimensionality of the context space, likely increasing the dimensions essentially increases the size and thus the number of equivalent solutions of the space. …”
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Ignition delay process shot by high-speed camera.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Data disclosure (Bai - manuscript).
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Experimental bench and corresponding facility.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Three classic combustion stages of the flame.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Flame binarization image processing flow.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Experimental condition of fixed oil drop volume.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Schematic diagram of experimental injector size.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Droplet boiling modes at different temperatures.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Risk Classification Diagram of Hot Surface.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Physical parameters of engine lubricating oil.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”
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Variation of heat flow with wall temperature.
Published 2025“…The main findings of this study are as follows: (1) As the temperature of the hot surface increases, the ignition delay time generally shows a decreasing trend, with 450°C being a critical turning point; (2) There is an overlap between ignition and non-ignition cases within a specific range, forming a possible ignition zone, and the <i>R</i>² values of the fitting equations for the upper and lower boundaries are both above 95%, indicating a good fit. (3) The fractal dimension can effectively quantify the geometric complexity of the flame’s outer contour, thereby characterizing the stability of the flame’s combustion. …”