We investigate the gas flow behavior of unidirectional porous ceramics processed by ice-templating. The pore volume ranged between 54% and 72% and pore size between 2.9 [Formula: see text]m and 19.1 [Formula: see text]m. The maximum permeability ([Formula: see text] [Formula: see text] m[Formula: see text]) was measured in samples with the highest total pore volume (72%) and pore size (19.1 [Fo...

We present a simple and practical technique for seamlessly texturing quadrilateral meshes. Using our technique any image can be converted to an isotropic texture that can be mapped to any quadrilateral mesh without any discontinuity or singularity. Using our technique, we can make any abstract painter like Miro to seamlessly paint any smooth manifold surface. The surface can have any number of ...

Cycle covering is a well-studied problem in computer science. In this paper, we develop approximation algorithms for variants of cycle covering problems which bound the size and/or length of the covering cycles. In particular, we give a (1 + ln 2)-approximation for the lane covering problem [4, 5] in weighted graphs with metric lengths on the edges and an O(ln k) approximation for the bounded c...

diffusivity equation commonly used for pressure distribution prediction in porous media results from substituting equation of state and continuity equation in navier-stokes momentum equation. from mathematical point of view this equation format shows infinite propagation speed for pressure pulse through porous media, which is physically impossible. this issue may caused by numerous assumptions ...

In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreo...

won{gil park [won{gil park, j. math. anal. appl., 376 (1) (2011) 193{202] proved the hyers{ulam stability of the cauchy functional equation, the jensen functional equation and the quadraticfunctional equation in 2{banach spaces. one can easily see that all results of this paper are incorrect.hence the control functions in all theorems of this paper are not correct. in this paper, we correctthes...

ACKNOWLEDGEMENTS Completing this dissertation has been quite a journey! It has brought me immense professional and personal growth and a plethora of experiences that I will fondly remember. I am very grateful to have worked with Alan Erera and Martin Savelsbergh. They have been exceptional advisors who guided, motivated, and supported me to develop as a researcher and make this dissertation pos...

Meso-scale structure existing in the form of particle clusters or strands in concurrent-up gas–solid two-phase flow has been extensively corroborated in experimental research. However, its significant effects on interfacial drag coefficient are seldom taken into account in current computational fluid dynamic (CFD) simulations by using the two-fluid models. The energy-minimization multi-scale (E...