Showing papers by "George F. Carrier published in 1983"
Book•
01 Jan 1983
TL;DR: In this paper, complex numbers and their elementary properties of complex numbers are discussed. But the authors do not discuss the relation between complex numbers, analytic functions, and transform methods, and they do not provide any special techniques.
Abstract: Preface Erratum 1. Complex numbers and their elementary properties 2. Analytic functions 3. Contour integration 4. Conformal mapping 5. Special functions 6. Asymptotic methods 7. Transform methods 8. Special techniques Index.
315 citations
30 citations
TL;DR: In this article, the authors modeled the spread of fire across the ceiling of a large room (or long corridor) as wind-aided flame spread along a horizontal char-forming thick slab, in the presence of significant convective, diffusive, and radiative transport.
Abstract: The spread of fire across the ceiling of a large room (or long corridor) is modeled as wind-aided flame spread along a horizontal char-forming thick slab, in the presence of significant convective, diffusive, and radiative transport. The goal is to predict the rate of streamwise advance of the site on the solid-gas interface at which the pristine solid undergoes endothermic degradation to a combination of (I) a porous carbonaceous heat-retaining matrix, and (2) a mixture of (partially combustible) vapors that move through the matrix to the outer gas. This rate of advance of the thermal-degradation site is sought as a function of normally available data concerning the thermodynamic and physical properties of the solid; the thermodynamic and dynamic state of the hot vitiated bulk gas that abruptly starts, and then continues, to flow over the slab; and the initial thermodynamic state of the slab. Downwind of the interfacial degradation site, hot product gases flowing over the slab preheat it from it...
15 citations