[amp_mcq option1=”viscous\/unviscous fluids” option2=”compressibility of fluids” option3=”conservation of mass” option4=”steady\/unsteady flow” correct=”option3″]<\/p>\n
The correct answer is C. conservation of mass.<\/p>\n
The continuity equation is a mathematical statement of the conservation of mass. It states that the mass of a fluid flowing through a given area remains constant over time. This means that the mass of fluid entering a region must equal the mass of fluid leaving the region, plus or minus any changes in the mass of the fluid within the region.<\/p>\n
The continuity equation can be written in several different forms, but the most common form is:<\/p>\n
$$\\frac{\\partial \\rho}{\\partial t} + \\nabla \\cdot (\\rho u) = 0$$<\/p>\n
where $\\rho$ is the density of the fluid, $u$ is the velocity of the fluid, and $\\nabla$ is the gradient operator.<\/p>\n
The continuity equation is a fundamental equation in fluid dynamics, and it is used to study a wide variety of fluid flows, including incompressible flows, compressible flows, and turbulent flows.<\/p>\n
Option A is incorrect because the continuity equation is not connected with the viscosity of a fluid. The viscosity of a fluid is a measure of its resistance to flow, and it does not affect the conservation of mass.<\/p>\n
Option B is incorrect because the continuity equation is not connected with the compressibility of a fluid. The compressibility of a fluid is a measure of how easily it can be compressed, and it does not affect the conservation of mass.<\/p>\n
Option D is incorrect because the continuity equation is not connected with the steady\/unsteady flow of a fluid. The steady\/unsteady flow of a fluid is a measure of how the velocity of the fluid changes with time, and it does not affect the conservation of mass.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”viscous\/unviscous fluids” option2=”compressibility of fluids” option3=”conservation of mass” option4=”steady\/unsteady flow” correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[648],"tags":[],"class_list":["post-7251","post","type-post","status-publish","format-standard","hentry","category-hydraulics-and-fluid-mechanics","no-featured-image-padding"],"yoast_head":"\n