Ch 1. Basics Multimedia Engineering Fluids MassDensity IdealGas Law Viscosity SurfaceTension VaporPressure
 Chapter 1. Basics 2. Fluid Statics 3. Kinematics 4. Laws (Integral) 5. Laws (Diff.) 6. Modeling/Similitude 7. Inviscid 8. Viscous 9. External Flow 10. Open-Channel Appendix Basic Math Units Basic Equations Water/Air Tables Sections Search eBooks Dynamics Fluids Math Mechanics Statics Thermodynamics Author(s): Chean Chin Ngo Kurt Gramoll ©Kurt Gramoll

 FLUID MECHANICS - CASE STUDY SOLUTION Capillary Action The height of the water column is given as a function of the contact angle (θ), radius of the tube (R), density (ρ) and surface tension (σ) of the liquid as follows:      h = 2σcosθ / ρgR For water in contact with a clean glass, the contact angle is zero, hence the equation reduces to      h = 2σ / ρgR For water at 30oC, the surface tension and density are 0.0712 N/m and 995.7 kg/m3 respectively, as noted in the theory page. For a tube with a radius of 1 mm:      h = 2(0.0712)(106)/(995.7)(9.8)(1)        = 14.6 mm For a tube with a radius of 10 mm:      h = 2(0.0712)(106)/(995.7)(9.8)(10)        = 1.46 mm Note that the water rise in the capillary tube decreases with an increase of the radius of the tube.

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