Select all proper governing equations for the not well insulated mixing chamber below. (The kinetic and potential energy changes are very small.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Select all proper governing equations for the not well insulated mixing chamber below. (The kinetic and potential energy changes are very small.)_______



 

  A.

 

  B.

 

  C.

 

  D.

 

On this educational page, we explore the governing equations associated with a mixing chamber that is not well insulated. In this scenario, changes in kinetic and potential energy are considered negligible.

**Diagram Explanation:**
The diagram shows a mixing chamber with two inlets and one outlet:
- Inlet 1 (marked "1") and Inlet 2 (marked "2") merge into the mixing chamber.
- An outlet (marked "3") is where the mixed fluid exits.

**Equations to Consider:**

Choose all the correct governing equations for the mixing chamber:

A. \( \dot{m}_1 h_1 + \dot{m}_2 h_2 = \dot{m}_3 h_3 + \dot{Q}_{out} \)

B. \( \dot{m}_1 h_1 + \dot{m}_2 h_2 + \dot{Q}_{out} = \dot{m}_3 h_3 \)

C. \( \dot{m}_1 + \dot{m}_2 = \dot{m}_3 \)

D. \( \dot{m}_1 + \dot{m}_2 + \dot{m}_3 = 0 \)

Where:
- \( \dot{m} \) represents the mass flow rate.
- \( h \) represents the specific enthalpy.
- \( \dot{Q}_{out} \) is the rate of heat loss from the system.

This setup requires balancing mass and energy for the streams to determine the appropriate equations reflecting the process in real-time operations.
Transcribed Image Text:On this educational page, we explore the governing equations associated with a mixing chamber that is not well insulated. In this scenario, changes in kinetic and potential energy are considered negligible. **Diagram Explanation:** The diagram shows a mixing chamber with two inlets and one outlet: - Inlet 1 (marked "1") and Inlet 2 (marked "2") merge into the mixing chamber. - An outlet (marked "3") is where the mixed fluid exits. **Equations to Consider:** Choose all the correct governing equations for the mixing chamber: A. \( \dot{m}_1 h_1 + \dot{m}_2 h_2 = \dot{m}_3 h_3 + \dot{Q}_{out} \) B. \( \dot{m}_1 h_1 + \dot{m}_2 h_2 + \dot{Q}_{out} = \dot{m}_3 h_3 \) C. \( \dot{m}_1 + \dot{m}_2 = \dot{m}_3 \) D. \( \dot{m}_1 + \dot{m}_2 + \dot{m}_3 = 0 \) Where: - \( \dot{m} \) represents the mass flow rate. - \( h \) represents the specific enthalpy. - \( \dot{Q}_{out} \) is the rate of heat loss from the system. This setup requires balancing mass and energy for the streams to determine the appropriate equations reflecting the process in real-time operations.
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