Marine and Offshore Pumping and Piping Systems

ContentsPreface Contents of Volume 2 Part I General Theory 1 Concepts, Terms, Notation 1.1 Directions for Use 1.2 Some Hard Choices References 2 Exponential Integrals and Related Functions 2.1 Quick Survey 2.2 Exponential Integrals (E Functions) 2.3 General Exponential Integral 2.4 F Functions 2.5 G Functions References 3 Reciprocity 3.1 Receprocity and Detailed Balance 3.2 Far-Field Scattering by a Single Particles 3.3 Arbitrary Configurations 3.4 Plane Surfaces and Plane-Parallel Slabs References 4 Methods 4.1 Posing the Problem 4.2 Criteria for a Choice 4.3 Method of Successive Orders 4.4 Amburtsumian's Method 4.5 The Adding or Doubling Method References 5 Very Thick Layers with Arbitrary Anisotropic Scattering 5.1 Method and Terminology 5.2 Basic Concepts and Relations 5.3 Very Thick Layers 5.5 Internal Source Layer 5.6 Asymptotic Fitting References 6 Results Obtained by Expanding the Phase Function in Legendre Polynomial 6.1 Introduction and Conclusions 6.2 Unbounded Medium 6.3 The Ambartsumian Functions 6.4 Reduction to H Functions 6.5 The Radiation Field at Arbitrary Depth ReferencesPart II Isotropic Scattering 7 Isotropic Scattering; Solutions by Use of the Milne Operator 7.1 Matrices in ԏ and µ 7.2 Solving the Milne Equation 7.3 Resulting Quantities 7.4 Eigenvalues of the Milne Operator 7.5 The Adding or Doubling Method Derived from the Milne Equation References 8 Isotropic Scattering, Semi-Infinite Atmospheres 8.1 Specifications 8.2 The Unbound Medium 8.3 The H Functions and Their Moments 8.4 Moments and Biomoments of the Reflections Function 8.5 Point-Direction Gain in a Semi-Infinite Atmosphere 8.6 Radiation Emerging from a Semi-Infinite Atmosphere 8.7 References 9 Isotropic Scattering, Finite Slabs 9.1 Reflection and Transmission 9.2 Fate and Incident Energy 9.3 Point Direction Gain and Its Moment 9.4 Integrals of Grain Over Optical Depth: Homogeneously Embedded Sources 9.5 The Intensity inside the Atmosphere 9.6 Some Special Functions ReferencesIndex