1. Transport and mixing 1.1 The material derivative Let V ( x, t ) be the velocity of a fluid at the point x = ( x, y, z ) and time t . Consider also some scalar field χ ( x, t ) such as the temperature or density. We a

First Page		Document Content
Physics Hyperbolic partial differential equations Heat transfer Vector calculus Fluid dynamics Viscosity Symbol Incompressible flow Advection Calculus Fluid mechanics Mathematical analysis		1. Transport and mixing 1.1 The material derivative Let V ( x, t ) be the velocity of a fluid at the point x = ( x, y, z ) and time t . Consider also some scalar field χ ( x, t ) such as the temperature or density. We a Add to Reading List Source URL: www.gfdl.noaa.gov Download Document from Source Website File Size: 40,55 KB Share Document on Facebook

	Classroom Voting Questions: Multivariable Calculus 18.4 Path-Dependent Vector Fields and Green’s Theorem 1. What will guarantee that F~ (x, y) = yˆi + g(x, y)ˆj is not a gradient vector field? (a) g(x, y) is a functi DocID: 1v8ZZ - View Document
	Classroom Voting Questions: Multivariable Calculus 19.2 Flux Integrals For Graphs, Cylinders, and Spheres 1. The flux of the vector field F~ = 4ˆ ρ through a sphere of radius 2 centered on the origin is: DocID: 1uXlX - View Document
	Classroom Voting Questions: Multivariable Calculus 20.1 The Divergence of a Vector Field 1. Moving from the picture on the left to the picture on the right, what are the signs of ∇ · F~ ? DocID: 1uLvn - View Document
	Classroom Voting Questions: Multivariable Calculus 18.3 Gradient Fields and Path-Independent Fields 1. The vector field shown is the gradient vector field of f (x, y). Which of the following are equal to f (1, 1)? DocID: 1uEgR - View Document
	Classroom Voting Questions: Multivariable Calculus 20.2 The Divergence Theorem 1. Given a small cube resting on the xy plane with corners at (0, 0, 0), (a, 0, 0), (a, a, 0), and (0, a, 0), which vector field will produce DocID: 1uEeY - View Document