对二元流体对流的数值分析,其中包括热和溶液的侧向梯度
Juan Sánchez Umbría1, Marta Net2
1Universitat Politècnica de Catalunya, Departament de Física, Jordi Girona Salgado 1-3, Campus Nord, Mòdul B4, 08034 Barcelona, Spain.
Physical review. E
|February 7, 2025
概括
这项研究探讨了溶液梯度如何影响加热槽中的流体动力学,揭示了复杂的稳定和周期性行为. 热浮力是恢复流动和影响混乱过渡的关键.
科学领域:
- 流体动力学 流体动力学
- 热力学是一种热力学.
- 非线性动力学是一种非线性动力学.
背景情况:
- 二元流体动力学是复杂的,受热和溶液梯度的影响.
- 索雷特和杜福效应引入了合的热量和质量转移现象.
- 了解加热流体系统中的稳定性和转变是至关重要的.
研究的目的:
- 分析横向强制施加的溶质梯度对加热槽中的流体动力学的影响.
- 调查稳定和分叉周期动态,包括索雷特和杜福效应.
- 检查各种流动状态和过渡到混乱的稳定性.
主要方法:
- 使用了数值牛顿-克里洛夫连续技术.
- 分析重点是稳定溶液和周期轨道的初级和二级分支.
- 对所有已识别的解决方案分支进行了稳定性分析.
主要成果:
- 观察到广泛的稳定稳定和周期性状态,取决于热和溶液梯度比.
- 溶解梯度可以延迟振荡并恢复稳定的流动,从而导致复杂的波浪模式.
- 热浮力显著影响流动的恢复稳定和动态,影响过渡到混乱.
结论:
- 溶解梯度在塑造加热二元流体的动态方面发挥着至关重要的作用.
- 热浮力和溶解梯度之间的相互作用决定了流动的稳定性和复杂性.
- 溶质梯度的缺失或强度强烈地影响了过渡到时间混乱.
相关概念视频
Newtonian Fluid: Problem Solving
175
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
175
Steady, Laminar Flow Between Parallel Plates
124
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
124
Couette Flow
190
Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
190
Energy Conservation and Bernoulli's Equation
8.5K
Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline.
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
8.5K
Navier–Stokes Equations
409
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
409
Conduction, Convection and Radiation: Problem Solving
1.1K
There are three methods by which heat transfer can take place: conduction, convection, and radiation. Each method has unique and interesting characteristics, but all three have two things in common: they transfer heat solely because of a temperature difference; and the greater the temperature difference, the faster the heat transfer.
In order to solve a problem related to heat transfer, first of all, the situation needs to be examined to determine the type of heat transfer involved. This could...
In order to solve a problem related to heat transfer, first of all, the situation needs to be examined to determine the type of heat transfer involved. This could...
1.1K


