For thermal optimization, a new correlation of the heat transfer coefficient for the radial plate-fin heat sinks is developed using the asymptotic method and validated experimentally.
In order to predict the total heat transfer rate, a new correlation of the heat transfer coefficient is developed using the asymptotic method.
Using the asymptotic method developed by Knowles [Eng. Fract. Mech. 15 (1981) 469], we show that even after the geometric nonlinearity of finite deformation is accounted for, the intersonic shear cracks have a vanishing crack opening displacement.
Using the asymptotic method of Knowles [Eng. Fract. Mech. 15 (1981) 469], we show that there is indeed a finite crack opening for a dynamic, sub-Rayleigh shear crack.
The effects of radiation heat loss and variation in near-unity Lewis numbers on the structure and extinction of counterflow diffusion flame established near the stagnation plane of two opposed free streams of fuel and oxidizer are analyzed using the asymptotic method of large activation energy.
Cumulative incidence risk for drop-out at 1 month, 2, 3, 6, 7, 8, 9, 10, 11, 12, 18, 24 months with confidence limits using the asymptotic method (Greenwood's formula) for standard error estimation.
Statistical significance (p < 0.05) was calculated pairwise using two-sided G-test (with Yates' correction) and Fisher's exact test, and the confidence intervals for each proportion were calculated using the asymptotic method with a continuity correction considering the threshold of 95%.
While using the asymptotic method of computation, some of the upper confidence interval of CK may exceed the permitted value of 1. Techniques like Bias Corrected Accelerated Bootstrap Confidence Interval (BCaCI) [ 27] and exact p estimate [ 28] have been advocated to resolve this paradox.
Rates of treatment discontinuation were assessed as a Kaplan Meier time-to-first-event analysis and presented as: Cumulative incidence risk for drop-out at 1 month, 2, 3, 6, 7, 8, 9, 10, 11, 12, 18, 24 months with confidence limits using the asymptotic method (Greenwood's formula) for standard error estimation.
