GATE ME 2017 Set 1 — Question 8
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Fluid Mechanics → Fluid Kinematics & Dynamics → Applications of Bernoulli
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Question
Water (density = ) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of . If the pressure drop across the pipe is , the minimum power required to pump the water across the pipe, in watts, is ________.
Correct answer
100 to 100
Solution
The power required to pump a fluid is given by the product of the pressure drop and the volumetric flow rate:Where:
is the volumetric flow rate.The volumetric flow rate can be calculated from the mass flow rate () and density ():Now, calculate the power:The minimum power required is 100 watts.
is the volumetric flow rate.The volumetric flow rate can be calculated from the mass flow rate () and density ():Now, calculate the power:The minimum power required is 100 watts.
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