...Christopher C. Tisdell Despite the significant and ongoing interest in Green's functions from scientists, engineers, and mathematicians, the area remains underdeveloped with respect to understanding problems from laminar fluid flow and magnetohydrodynamics (MHD) in porous media. The purpose...

... apoptosis in the adipocytes. Occasional adverse effects occur following CLL. There is some uncertainty in the temperature profile during the procedure. Here, a Green's function solution of the one-dimensional (1D) Pennes equation is used to examine how uncertainties in thermal diffusivity and blood...

... Resour. , 26 ( 7 ), pp. 747 – 757 . 10.1016/S0309-1708(03)00046-0 [11] Clow , G. D. , 2015 , “ A Green's Function Approach for Assessing the Thermal Disturbance Caused by Drilling Deep Boreholes in Rock or Ice ,” Geophys. J. Int. , 203 ( 3 ), pp. 1877 – 1895 . 10.1093/gji/ggv415...

... with a convective boundary condition (SCS-3 model), and realistic conditions such as transversely isotropic ground and groundwater flow are all included in the model. An analytical solution for the problem is established using Green's function method and the theory of moving heat sources. Solutions for the SCS...

...Ashok S. Sangani The rate of heat conduction (or mass transfer by diffusion) from a cylindrical or a spherical particle confined between two walls is determined as a function of the position and the radius of the particle. It is shown that the appropriate Green's function can be determined using...

...Ali Jabari Moghadam The electro-osmotic flow (EOF) and associated heat transfer are investigated in a semi-annular microcapillary. The potential, velocity, and temperature fields are solved by analytic approaches including the eigenfunction expansion and the Green’s function methods. By selecting...

...Zhen Huang; Jayathi Y. Murthy; Timothy S. Fisher In this work, the atomistic Green’s function method is extended to compute transmission functions for each phonon polarization. The eigenvectors and eigenvalues of the overall density of states matrices are manipulated to yield a density of states...

...Matthew R. Jones; Vladimir P. Solovjov An exact approach for solving both transient and steady state conduction and surface radiation problems is presented. The method is based on the use of Green’s function, and the temperature field is obtained by solving an integral equation. This is in contrast...