"Two types of gasoline are blended by passing the streams through a horizontal “wye.” The density of both gasolines are 680 kg/m3. Exit pressure at 3 is 145Kpa Find the reaction forces at the "wye"" We assume steady flow and density constant. I basically understand the solution (i think) However, can we ignore the change in height when applying the Bernolli equation? If so why? Please explain this.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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"Two types of gasoline are blended by passing the streams through a horizontal “wye.” The density of both gasolines are 680 kg/m3. Exit pressure at 3 is 145Kpa Find the reaction forces at the "wye"" We assume steady flow and density constant. I basically understand the solution (i think) However, can we ignore the change in height when applying the Bernolli equation? If so why? Please explain this.

**Transcription of Figure 1**

This diagram represents a pipeline system with three sections, labeled (1), (2), and (3). Here is a detailed description:

1. **Section 1**:
   - Positioned at the top left, illustrating a pipe segment.
   - The flow rate is indicated by an arrow with "30 L/s" pointing into the pipe.
   - The diameter of the pipe is labeled as "200 mm".
   - The flow direction is entering at an angle of 30°.

2. **Section 2**:
   - Positioned at the bottom left, depicting another pipe segment.
   - The flow rate is shown as "3.4 L/s", with the arrow pointing out of the pipe.
   - The diameter of this pipe is either the same or is represented by the variable "d".
   - The flow exits at an angle of 45°.

3. **Section 3**:
   - Located on the right side, representing the outgoing pipe segment.
   - The arrow indicates the direction of the flow, with "d" as the pipe diameter.
   - The diameter here is consistently labeled as "200 mm" as well.

**Figure Summary**: 
This schematic illustrates a branching pipe system where the input and outputs are clearly marked with flow rates and diameters. Section 1 shows an input flow of 30 liters per second entering at a 30° angle, while Section 2 shows an exit flow of 3.4 liters per second at a 45° angle. Section 3 continues in a straight path with a consistent diameter of 200 mm.
Transcribed Image Text:**Transcription of Figure 1** This diagram represents a pipeline system with three sections, labeled (1), (2), and (3). Here is a detailed description: 1. **Section 1**: - Positioned at the top left, illustrating a pipe segment. - The flow rate is indicated by an arrow with "30 L/s" pointing into the pipe. - The diameter of the pipe is labeled as "200 mm". - The flow direction is entering at an angle of 30°. 2. **Section 2**: - Positioned at the bottom left, depicting another pipe segment. - The flow rate is shown as "3.4 L/s", with the arrow pointing out of the pipe. - The diameter of this pipe is either the same or is represented by the variable "d". - The flow exits at an angle of 45°. 3. **Section 3**: - Located on the right side, representing the outgoing pipe segment. - The arrow indicates the direction of the flow, with "d" as the pipe diameter. - The diameter here is consistently labeled as "200 mm" as well. **Figure Summary**: This schematic illustrates a branching pipe system where the input and outputs are clearly marked with flow rates and diameters. Section 1 shows an input flow of 30 liters per second entering at a 30° angle, while Section 2 shows an exit flow of 3.4 liters per second at a 45° angle. Section 3 continues in a straight path with a consistent diameter of 200 mm.
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