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An oil pump operating at steady state delivers oil at a rate of 6 kg/s through a 2.5-cm- diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 1360 kg/m³ and experiences a pressure rise from inlet to exit of 2.75 bar. There is no significant elevation difference between inlet and exit, and the inlet kinetic energy is negligible. Heat transfer between the pump and its surroundings is negligible, and there is no significant change in temperature as the oil passes through the pump. a. Determine the velocity of the oil at the exit of the pump, in m/s. b. Determine the power required for the pump, in W. Oil Pump Mflow=6kg/s Poil 1360 kg/m³ P2-p1=2.75 bar T₂-T₁=0 D=2.5 cm

An oil pump operating at steady state delivers oil at a rate of 6 kg/s through a 2.5-cm- diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 1360 kg/m³ and experiences a pressure rise from inlet to exit of 2.75 bar. There is no significant elevation difference between inlet and exit, and the inlet kinetic energy is negligible. Heat transfer between the pump and its surroundings is negligible, and there is no significant change in temperature as the oil passes through the pump. a. Determine the velocity of the oil at the exit of the pump, in m/s. b. Determine the power required for the pump, in W. Oil Pump Mflow=6kg/s Poil 1360 kg/m³ P2-p1=2.75 bar T₂-T₁=0 D=2.5 cm

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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### Oil Pump Analysis An oil pump operating at steady state delivers oil at a rate of 6 kg/s through a 2.5-cm-diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 1360 kg/m³ and experiences a pressure rise from inlet to exit of 2.75 bar. There is no significant elevation difference between inlet and exit, and the inlet kinetic energy is negligible. Heat transfer between the pump and its surroundings is negligible, and there is no significant change in temperature as the oil passes through the pump. #### Objectives: - **Determine the velocity of the oil at the exit of the pump, in m/s.** - **Determine the power required for the pump, in watts (W).** #### Illustrated Diagram: A schematic diagram is provided, depicting an "Oil Pump" connected to a pipe with an exit diameter of 2.5 cm. Below the diagram, the given parameters are listed: - \( \dot{m}_{\text{flow}} = 6 \, \text{kg/s} \) - \( \rho_{\text{oil}} = 1360 \, \text{kg/m}^3 \) - \( p_2 - p_1 = 2.75 \, \text{bar} \) - \( T_2 - T_1 = 0 \) This exercise focuses on practical applications of the principles of fluid mechanics, particularly involving incompressible flow, and thermodynamics in analyzing the power and velocity associated with a fluid pump.
Transcribed Image Text:### Oil Pump Analysis An oil pump operating at steady state delivers oil at a rate of 6 kg/s through a 2.5-cm-diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 1360 kg/m³ and experiences a pressure rise from inlet to exit of 2.75 bar. There is no significant elevation difference between inlet and exit, and the inlet kinetic energy is negligible. Heat transfer between the pump and its surroundings is negligible, and there is no significant change in temperature as the oil passes through the pump. #### Objectives: - **Determine the velocity of the oil at the exit of the pump, in m/s.** - **Determine the power required for the pump, in watts (W).** #### Illustrated Diagram: A schematic diagram is provided, depicting an "Oil Pump" connected to a pipe with an exit diameter of 2.5 cm. Below the diagram, the given parameters are listed: - \( \dot{m}_{\text{flow}} = 6 \, \text{kg/s} \) - \( \rho_{\text{oil}} = 1360 \, \text{kg/m}^3 \) - \( p_2 - p_1 = 2.75 \, \text{bar} \) - \( T_2 - T_1 = 0 \) This exercise focuses on practical applications of the principles of fluid mechanics, particularly involving incompressible flow, and thermodynamics in analyzing the power and velocity associated with a fluid pump.
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