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Fluid Mechanics

by: Chloe Reilly
Chloe Reilly

GPA 3.62

Marc Smith

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Marc Smith
Class Notes
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This 0 page Class Notes was uploaded by Chloe Reilly on Monday November 2, 2015. The Class Notes belongs to ME 3340 at Georgia Institute of Technology - Main Campus taught by Marc Smith in Fall. Since its upload, it has received 9 views. For similar materials see /class/234245/me-3340-georgia-institute-of-technology-main-campus in Mechanical Engineering at Georgia Institute of Technology - Main Campus.

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Date Created: 11/02/15
ME 3340 Fluid Mechanics Formula Sheet 3 Basic Formulas dp Pressure in a static uld d pg 2 Shear stress in a Newtonian uid 139 y y Control Volume Balance Equations Mass JVpdVJS py dS0 Linear F F d dV dS Momentum g b 325 EL PE SE PEQ E Moment of d momentum ZMEIVEPEXZ5ZVLEPlt XEE dS TOtalenergy puV2gzdVJ pu V2gzvndSQW d V S p Mechanical d p energy with E V p 52 gzdV L pVZ gz2 dS W H1 constant density The mechanical energy loss can be written using the head loss h as H1 rhth or using a loss coef cient K as H1 ri1K V2 where Vis the average velocity through the deVice The pump head hp is de ned as WP rhghp 6 6 6 6 6 Material derivative 2 vV u v w Dt 6t 6t 6x By 62 d Bernoulli s equation I p V2 gz constant p d d d 0 0 Streamline equations x y Z Streamfunction u l v l u v w 03 65c Velocity potential 2 V or u g V w 6x 6y 6Z Navier Stokes Equations and Continuity with constant properties pfu d1 01 at zu zu am u v w pgxu 2 2 2 at 5x 039 g dc o k 0 z 0quot 5V 0quot 0quot 5p 52V 52V 52V p u v w gpgy J gyg aw aw 6W 6W p zw zw zw p u v w pgzu 2 2 2 0 dc 03 z z dc y z 071 d aw 0 dc y z Constitutive Relations Kinematics 039DC p Lug u Volumetric dilatation Vy 6x dc y z 0 p 2 u Rotation Q V X 2 BW 03922 P 2E Rates of angular deformation 139 r 72 u xy yr Kay 6x y x r r 7 w yz Zy K z 6y Z y a m I 6x 62 x Z


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