Chapter 19
Differential Analysis of Fluid Flow
Уравнения движения Эйлера
In a moving fluid, shear stresses develop due to viscosity. For water, which has low viscosity, these effects are negligible, simplifying fluid motion ...
Функция потока
In two-dimensional incompressible flow, there are horizontal and vertical velocity components.
The continuity equation ensures mass conservation by ...
Ирротационный поток
Irrotational flow refers to the movement of fluid particles that do not rotate along the flow path, characterized by a velocity field with zero curl and ...
Скоростной потенциал
Consider water flowing steadily through a long, straight pipe with a uniform cross-section.
In central regions of the pipe, where flow is irrotational, a ...
Плоские потенциальные потоки
Plane potential flows simplify fluid motion by assuming irrotational and incompressible flow, governed by a velocity potential function and a stream ...
Уравнения Навье–Стокса
In fluid motion under viscous conditions, shear stress is directly proportional to fluid deformation. In incompressible Newtonian fluids, this stress ...
Устойчивый, ламинарный поток между параллельными пластинами
Steady, laminar flow between two parallel plates describes fluid movement in a narrow, confined channel, often used to model simple fluid systems.
For ...
Куэтте Флоу
Couette flow describes fluid motion between two parallel plates where one is stationary, and the other moves with constant speed, creating a steady, ...
Устойчивый ламинарный поток в круглых трубках
Consider steady, incompressible flow through a straight cylindrical tube of constant radius R, known as Hagen–Poiseuille flow.
The cylindrical ...
Пример расчета: поток масла по кольцевым трубам
An engineer needs to design a pipeline to transport oil from a storage tank to a processing facility.
Given the oil's viscosity, density, and the ...
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