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首页> 外文期刊>Journal of Basic and Applied Physics >On Bessel Composite Function of the Third Order and First Kind Solution to Damped Wave Conduction and Relaxation Equation
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On Bessel Composite Function of the Third Order and First Kind Solution to Damped Wave Conduction and Relaxation Equation

机译：阻尼波传导和松弛方程的三阶和一类解的贝塞尔复合函数

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摘要

Damped wave conduction and relaxation equation is solved in three dimensions in order to gauge the ampacity risks in PCB interconnections. V = u/r substitution is used and the temperature profile is obtained in three dimensions and in one dimension. In the creeping transfer limit, the spatio-temporal profile is given as a modified Bessel composite function in space and time of the third order. Three regimes of solution are identified; (i) lag regime; (ii) rising regime given by Bessel composite function in space and time and; (iii) rising regime given by modified Bessel composite function in space and time. In the general case, the order of the solution is found to be 7/2 and the order of the solution is two in the case of one dimension.
机译：在三个维度上求解了阻尼波传导和弛豫方程，以便评估PCB互连中的载流量风险。使用V = u / r替代，并在三个维度和一个维度中获得温度曲线。在蠕变传递极限中，时空分布作为修正的贝塞尔复合函数的时空三阶形式给出。确定了三种解决方案： （i）滞后制度; （ii）贝塞尔复合函数在时空上赋予的上升状态;以及（iii）修正的贝塞尔复合函数在时空上给出的上升态。通常，解的阶数为7/2，在一维的情况下，解数阶为2。

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