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In most contexts a mention of rate of fluid flow is likely to refer to the volumetric rate. In hydrometry, the volumetric flow rate is known as discharge. Volumetric flow rate should not be confused with volumetric flux, as defined by Darcy's law and represented by the symbol q, with units of m 3 /(m 2 ·s), that is, m·s −1. The integration ...
In mathematics, a flow formalizes the idea of the motion of particles in a fluid. Flows are ubiquitous in science, including engineering and physics . The notion of flow is basic to the study of ordinary differential equations .
Diffusion flux, the rate of movement of molecules across a unit area (mol·m −2 ·s −1). (Fick's law of diffusion) [7] Volumetric flux, the rate of volume flow across a unit area (m 3 ·m −2 ·s −1). (Darcy's law of groundwater flow) Mass flux, the rate of mass flow across a unit area (kg·m −2 ·s −1). (Either an alternate form of ...
In mathematics, a rate is the quotient of two quantities, often represented as a fraction. [1] If the divisor (or fraction denominator) in the rate is equal to one expressed as a single unit, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the dividend (the fraction numerator) of the rate expresses the corresponding rate of change ...
Flow velocity vector field u = ... mass flow rate: I m = / kg s −1 [M][T] −1: Mass current density ... The Cambridge Handbook of Physics Formulas. Cambridge ...
Thus the rate of heat flow into V is also given by the surface integral () = () where n(x) is the outward pointing normal vector at x. The Fourier law states that heat energy flow has the following linear dependence on the temperature gradient H ( x ) = − A ( x ) ⋅ ∇ u ( x ) {\displaystyle \mathbf {H} (x)=-\mathbf {A} (x)\cdot \nabla u(x ...
The flow coefficient of a device is a relative measure of its efficiency at allowing fluid flow. It describes the relationship between the pressure drop across an orifice valve or other assembly and the corresponding flow rate. Mathematically the flow coefficient C v (or flow-capacity rating of valve) can be expressed as
Mass flow rate is defined by the limit [3] [4] ˙ = =, i.e., the flow of mass through a surface per time .. The overdot on ˙ is Newton's notation for a time derivative.Since mass is a scalar quantity, the mass flow rate (the time derivative of mass) is also a scalar quantity.