Applications and Properties

Schiff, Joel L.

doi:10.1007/978-0-387-22757-3_2

Cited by 17 publications

(29 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We now apply Cauchy's theorem (see, for example, [14]) to the contour shown in Figure 4 (the lines BD, JK, EF and HI lie on the branch cut but appear separated for clarity). Inspection of (28) the branch points already discussed as λ > 0 and Re{s} > 0.…”

Section: Derivation Of the Ground Concentration Expression Using The mentioning

confidence: 99%

“…using the fact that the modulus of an integral is bounded by the maximum value of its integrand times the contour length (see, for example, [14]). R (see Figure 5) and note that if…”

Section: Derivation Of the Ground Concentration Expression Using The mentioning

confidence: 99%

“…Existence of all Laplace transforms employed in this report is assumed (see, for example, [14]). Applying (11) to equation (6) and using boundary condition (9) 4 results in…”

mentioning

confidence: 99%

“…Unfortunately this cannot be inverted directly and so the complex inversion formula needs to be employed (see, for example, [14]). …”

mentioning

confidence: 99%

See 3 more Smart Citations

Diffusion and convection of gaseous and fine particulate from a chimney

MacKay¹,

McKee²,

Mulholland³

2006

IMA Journal of Applied Mathematics

View full text Add to dashboard Cite

Particle dispersion from a high chimney is considered and an expression for the subsequent concentration of the particulate deposited on the ground is derived. We consider the general case wherein the effects of both diffusion and convection on the steady state ground concentration of particulate are incorporated. Two key parameters emerge from this analysis: α, the ratio of diffusion to convection, and λ, the nondimensionalised surface mass transfer rate. We also solve the inverse problem of recovering these two parameters given the boundary concentration profile and provide an estimate of the concentration flux above the chimney stack.

show abstract

Section: Derivation Of the Ground Concentration Expression Using The mentioning

confidence: 99%

“…using the fact that the modulus of an integral is bounded by the maximum value of its integrand times the contour length (see, for example, [14]). R (see Figure 5) and note that if…”

Section: Derivation Of the Ground Concentration Expression Using The mentioning

confidence: 99%

See 2 more Smart Citations

Diffusion and convection of gaseous and fine particulate from a chimney

MacKay¹,

McKee²,

Mulholland³

2006

IMA Journal of Applied Mathematics

View full text Add to dashboard Cite

show abstract

“…The first was related to heat transfer for cooling off a very thin semi-infinite homogeneous plate into the surrounding medium solved by using double Laplace Transforms, the second, was heat equation for the semi-infinite slab where the sides of the slab are maintained at prescribed temperature. Recently in 2013 [5] The scheme is tested through three different examples which are being referred from [7,8].…”

Section: Introductionmentioning

confidence: 99%