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Chapter 6 • Theory & Derivations

Ventilation, Air Distribution and Indoor Air Quality

Comprehensive university textbook unit covering fundamental principles, governing relationships, and engineering applications of Ventilation, Air Distribution and Indoor Air Quality.

§6.1 Ventilation rate and outdoor-air calculation

**Outcome:** Interpret ventilation rate and outdoor-air calculation, perform a traceable estimate, diagnose a limitation, and explain how evidence could change the associated engineering decision.

§6.2 Supply air and room sensible balance

**Outcome:** Interpret supply air and room sensible balance, perform a traceable estimate, diagnose a limitation, and explain how evidence could change the associated engineering decision.

§6.3 Duct pressure losses and fan electrical power

**Outcome:** Interpret duct pressure losses and fan electrical power, perform a traceable estimate, diagnose a limitation, and explain how evidence could change the associated engineering decision.

§6.4 Filtration and pressure-drop management

**Outcome:** Interpret filtration and pressure-drop management, perform a traceable estimate, diagnose a limitation, and explain how evidence could change the associated engineering decision.

§6.5 Air distribution, mixing and short circuiting

**Outcome:** Interpret air distribution, mixing and short circuiting, perform a traceable estimate, diagnose a limitation, and explain how evidence could change the associated engineering decision.

THREE WORKED QUESTIONS

Step-by-Step Refrigeration and Air Conditioning Solutions

Three original questions connect calculations, definitions and interpretation. Open each solution to follow the reasoning.

Solved Problem Example 6.1: Calculation & Verification: Ventilation rate and outdoor-air calculation

Problem Statement: An engineering practitioner analyzes a mechanical system governed by **Ventilation rate and outdoor-air calculation** under steady operational loading.

Worked Engineering Derivation:

**Assumed inputs and computed answer:** If a project specifies 7 L/s per person for 18 people plus 0.3 L/(s m²) for 80 m², the arithmetic total is 150 L/s. Reproduce the result using the equation rather than copying the displayed answer. Convert all values to compatible units before substitution. Distinguish kW from kWh, kPa from Pa, and a percentage from a dimensionless fraction. Then perform three small checks: does the output have the expected dimensions, is its sign physically meaningful for the chosen reference direction, and does it approach a sensible limiting value when the driving difference or mass flow tends toward zero? If a limiting case gives a contradiction, examine the equation and model boundary before trusting the decimals.

Solved Problem Example 6.2: Calculation & Verification: Supply air and room sensible balance

Problem Statement: An engineering practitioner analyzes a mechanical system governed by **Supply air and room sensible balance** under steady operational loading.

Worked Engineering Derivation:

**Assumed inputs and computed answer:** Delivering 0.5 kg/s at 14 °C to a room at 24 °C yields around 5.03 kW sensible removal with cp=1.005 kJ/(kg K). Reproduce the result using the equation rather than copying the displayed answer. Convert all values to compatible units before substitution. Distinguish kW from kWh, kPa from Pa, and a percentage from a dimensionless fraction. Then perform three small checks: does the output have the expected dimensions, is its sign physically meaningful for the chosen reference direction, and does it approach a sensible limiting value when the driving difference or mass flow tends toward zero? If a limiting case gives a contradiction, examine the equation and model boundary before trusting the decimals.

Solved Problem Example 6.3: Calculation & Verification: Duct pressure losses and fan electrical power

Problem Statement: An engineering practitioner analyzes a mechanical system governed by **Duct pressure losses and fan electrical power** under steady operational loading.

Worked Engineering Derivation:

**Assumed inputs and computed answer:** At 600 Pa, 0.75 m³/s and combined efficiency 0.60, idealized fan electric input is 750 W. Reproduce the result using the equation rather than copying the displayed answer. Convert all values to compatible units before substitution. Distinguish kW from kWh, kPa from Pa, and a percentage from a dimensionless fraction. Then perform three small checks: does the output have the expected dimensions, is its sign physically meaningful for the chosen reference direction, and does it approach a sensible limiting value when the driving difference or mass flow tends toward zero? If a limiting case gives a contradiction, examine the equation and model boundary before trusting the decimals.

Solved Problem Example 6.4: Calculation & Verification: Filtration and pressure-drop management

Problem Statement: An engineering practitioner analyzes a mechanical system governed by **Filtration and pressure-drop management** under steady operational loading.

Worked Engineering Derivation:

**Assumed inputs and computed answer:** Two filter stages losing 90 and 120 Pa plus a coil at 80 Pa create 290 Pa of those serial pressure losses. Reproduce the result using the equation rather than copying the displayed answer. Convert all values to compatible units before substitution. Distinguish kW from kWh, kPa from Pa, and a percentage from a dimensionless fraction. Then perform three small checks: does the output have the expected dimensions, is its sign physically meaningful for the chosen reference direction, and does it approach a sensible limiting value when the driving difference or mass flow tends toward zero? If a limiting case gives a contradiction, examine the equation and model boundary before trusting the decimals.

Solved Problem Example 6.5: Calculation & Verification: Air distribution, mixing and short circuiting

Problem Statement: An engineering practitioner analyzes a mechanical system governed by **Air distribution, mixing and short circuiting** under steady operational loading.

Worked Engineering Derivation:

**Assumed inputs and computed answer:** Supplying 0.20 m³/s to a 360 m³ room gives nominal six air changes per hour. Reproduce the result using the equation rather than copying the displayed answer. Convert all values to compatible units before substitution. Distinguish kW from kWh, kPa from Pa, and a percentage from a dimensionless fraction. Then perform three small checks: does the output have the expected dimensions, is its sign physically meaningful for the chosen reference direction, and does it approach a sensible limiting value when the driving difference or mass flow tends toward zero? If a limiting case gives a contradiction, examine the equation and model boundary before trusting the decimals.