Question
Download Solution PDFThe flow through a capillary tube is an example of ____________ flow.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
- Flow through a capillary tube is typically characterized as laminar. Laminar flow is a flow regime characterized by high momentum diffusion and low momentum convection, where viscous forces are dominant over inertial forces.
- This type of flow is typically observed in narrow, small diameter pipes or tubes, like capillaries, and is usually characterized by smooth, constant fluid motion. The Reynolds number for this kind of flow is normally less than 2300.
Additional Information
Poiseuille's Law:
- Real fluids have viscosity, So a pressure difference is required between the ends of the tube or pipe for the flow to happen.
- The relation between pressure difference and discharge in the capillary tube is given by Poiseuille's law.
\(Q = \frac{\pi R^{4}\left ( P_{1}-P_{2} \right )}{8η L}\)
Where, Q = Discharge in the pipe/tube, R = Radius of pipe, P1, P2 are the pressure at point 1 and 2 respectively, η = Dynamic viscosity of the fluid, L = Length of pipe between point 1 and 2
Assumptions for the use of Poiseuille's law
- The fluid must be incompressible.
- It should be laminar between the given boundaries
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