Transient process singular nonlinear boundary value problem: Similarity analysis method for momentum, heat, and mass transfer equations: Similarity analysis method for momentum, heat, and mass transfer equations

Author: Zheng Liancun
Publisher:
Publish Date: 2003-06-01
Features: This book approaches the subject from the perspective of mathematical methodology, integrating knowledge from fields such as physics, chemistry, fluid mechanics, heat and mass transfer, as well as the modern theory of partial differential equations. Utilizing theories such as similarity transformation groups of differential equations, functional analysis, integral equation theory, generalized function theory, shooting method techniques, and singular perturbation method techniques, it conducts an in-depth and systematic qualitative and quantitative study of phenomena such as flow, heat transfer, and diffusion in boundary layers under unconventional boundary conditions in nature and engineering. The book explores these phenomena from aspects of analytical analysis, mathematical proof, and numerical simulation, reflecting recent advancements in this field. It serves as a reference for researchers and engineers in industries such as aerospace, navigation, energy, environment, power, metallurgy, chemical engineering, water conservancy, and hydropower. Additionally, it can be used as a graduate textbook or reference for mathematics, mechanics, and engineering heat physics majors in universities of science and engineering.