Question

1. Determining fluid flow through pipes and tubes has great relevance in many areas of engineerin gase g and science. In engineering, typical applications include the flow of liquids and s through pipelines and cooling systems. Scientists are interested in topics ranging from flow in blood vessels to nutrient transmission through a plant's vascular system. The resistance to flow in such conduits is parameterized by a dimensionless number called the friction factor. For turbulent flow, the Colebrook Equation provides a means to calculate the friction factor: JĪ +2.0log,01 &2.51 3.Dwhere eis the rouginess, D-diameter and Re-Re ynolds Namber st) where є15 the roughness, D-diameter,andRe:Reynolds Number 0 Re is another Dimensionless number and canbe thought of asratio of inertia forces to viscous forces and is givenby: Re i2 where pisthe fluid's density (Kg /m), V-its velocity (m/s),and uis the dynamic vis cos ity (Ns/m) DVp The Reynolds number also serves as the criterion for; weather flow is turbulent (Re > 4000) or laminar. In this problem, we wish to illustrate how the above mentioned numerical methods can be employed to determine f (friction factor) for air flow through a smooth, thin tube. For this case, the parameters are: p-1.23 Kg/m3, μ-|79x10-5 Ns/m2,D-0.005 m, V-40 m/s,and ε 0.0015mm. Note that friction factors range from 0.008 to 0.08. In addition, an explicit formulation called the Swamee Jain equation provides an approximate estimate: 1.325 ε 5.74 3.7D Re

Answer 1

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