The continuity equation is an expression of

Question

BlackTom AI · Accepted Answer

The question asks what the continuity equation expresses, so we examine each option in turn to see which concept it conveys.
Option 1: 'conservation of momentum.' While momentum conservation is a fundamental principle in fluid dynamics and is described by the momentum equations (like the Navier–Stokes equations), the continuity equation specifically is not about momentum balance. It does not track the transfer or conservation of momentum, but rather the conservation of mass, so this statement is incorrect in the context of the continuity equation.
Option 2: 'conservation of energy.' Energy conservation is central to the energy equation and thermodynamics, but the continuity equation deals with mass continuity rather than energy balance. Therefore this option does not describe what the continuity equation expresses, making it incorrect.
Option 3: 'conservation of angular momentum.' Angular momentum conservation is a separate principle that applies under certain symmetry conditions and is not what the continuity equation encodes. The continuity equation does not address angular momentum directly, so this option is incorrect.
Option 4: 'conservation of mass.' This is the core idea behind the continuity equation: in fluid flow, mass is neither created nor destroyed within a control volume. The mathematical form ∂ρ/∂t + ∇·(ρ v) = 0 (or, for incompressible flow, ∇·v = 0 with constant density) expresses that mass entering and leaving a region must balance with any accumulation. Thus, this option correctly reflects the meaning of the continuity equation.

SPHY001 Graded Quiz 6 (Unit 11 and Unit 12)- Requires Respondus LockDown Browser

The continuity equation is an expression of

查看解析

登录即可查看完整答案

类似问题

The continuity equation is an expression of

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

Under the assumptions used in cost-volume-profit analysis, as the activity increases:

The CVP and break-even analysis are supported by a range of important assumptions. Which of the following is not an assumption of the CVP:

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单