A patient receives IV fluid through a needle of radius 0.200 mm and length 2.0 cm. The density of the IV fluid is 1050 kg/m3 and it has a viscosity of 2.7 x 10-3 Pa s. The bag supplying the IV is 1.30 m above the patients arm. The blood pressure in the patient’s vein is 80 mm Hg.  what is the gauge pressure inside the needle? What is the gauge pressure in the vein? What is the flow rate of the IV?

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Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.