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# Class Note for BSysE 595 at WSU 11

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COURSE
PROF.
No professor available
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Washington State University taught by a professor in Fall. Since its upload, it has received 18 views.

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Date Created: 02/06/15
Bernoulli Equation and Darcy s Law for Saturated Flow 1 Bernoulli s Equation In uid mechanics for an ideal uid under steady ow the uid potential q is stated in terms of Bernoulli Equation P 2 I f E gz v7 constant along a streamline P P0 The three terms represent the pressure gravity and velocity potentials respectively The Hubbert s and Bernoulli s representations of uid potential are identical 2 Darcy s Law h h 1 2K KgradhKVh1 Al 61 2 K A q Q volumetric ow rate L3T 1 q volumetric ow rate per unit area also called Darcy s velocity or specific discharge LT l K constant of proportionality LT l h1 h2 hydraulic heads at positions 1 and 2 L AZ distance between positions 1 and 2 L hydraulic gradient 3 Darcy s Velocity vs PoreLinear Velocity As water flows through pore openings instead of a completely hollow pipe Darcy s q is not real A new term porelinear velocity v is defined as n n n l n n effective porosity 4 Physical Interpretation of K Experiments show that Cdng6h u a 2 v ltpg vltgtltlvltgtltd2 a v C constant of proportionality Comparing Eq 1 and 2 shows 2 01ng p K K containing properties of both the porous medium and fluid is called hydraulic conductivity Let k Cd 2 then k a function of only the porous medium is called permeability 5 Applicability of Darcy s Law valid for laminar ows and in porous media of reasonable values of permeability k 3

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