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 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.
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.
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.
Analytical expressions are found for the coupled wavenumbers in an infinite fluid-filled cylindrical shell using the asymptotic methods.
Analytical expressions are found for the wavenumbers and resonance frequencies in flexible, orthotropic shells using the asymptotic methods.
The first method models carbon nanotubes as an inhomogeneous cylindrical network shell using the asymptotic homogenization method.
The homogenization procedure is justified using the asymptotic expansion method.
The resulting problem is solved using the asymptotic numerical method in conjunction with automatic differentiation techniques.
