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Objectives Finish with heat exchangers (ch.11)

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1 Objectives Finish with heat exchangers (ch.11)
Start with Air-distribution systems

2 Overall Heat Transfer Q = U0A0Δtm Need to find this

3 Resistance model Q = U0A0Δtm From eq. 1, 2, and 3:
We can often neglect conduction through pipe walls Sometime more important to add fouling coefficients R Internal R cond-Pipe R External

4 Example The air to air heat exchanger in the heat recovery system from previous example has flow rate of fresh air of 200 cfm. With given: Calculate the needed area of heat exchanger A0=? Solution: Q = mcp,cold Δtcold = mcp,hot Δthot = U0A0Δtm From heat exchanger side: Q = U0A0Δtm → A0 = Q/ U0Δtm U0 = 1/(RInternal+RCond+RFin+RExternal) = (1/ /10) = 4.95 Btu/hsfF Δtm = 16.5 F From air side: Q = mcp,cold Δtcold = = 200cfm·60min/h·0.075lb/cf·0.24Btu/lbF·16 = 3456 Btu/h Then: A0 = 3456 / (4.95·16.5) = 42 sf

5 For Air-Liquid Heat Exchanger we need Fin Efficiency
Assume entire fin is at fin base temperature Maximum possible heat transfer Perfect fin Efficiency is ratio of actual heat transfer to perfect case Non-dimensional parameter tF,m

6 Fin Theory pL=L(hc,o /ky)0.5 k – conductivity of material
hc,o – convection coefficient pL=L(hc,o /ky)0.5

7 Fin Efficiency Assume entire fin is at fin base temperature
Maximum possible heat transfer Perfect fin Efficiency is ratio of actual heat transfer to perfect case Non-dimensional parameter

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10 Heat exchanger performance (11.3)
NTU – absolute sizing (# of transfer units) ε – relative sizing (effectiveness) Criteria NTU ε P RP cr

11

12 Air Distribution System Design
Describe room distribution basics Select diffusers Supply and return duct sizing

13 Forced driven air flow Diffusers
Grill (side wall) diffusers Linear diffusers Vertical Horizontal one side

14 Diffusers types Valve diffuser swirl diffusers ceiling diffuser
wall or ceiling floor

15 Diffusers http://www.titus-hvac.com/techzone/
Perforated ceiling diffuser Jet nozzle diffuser Round conical ceiling diffuser Square conical ceiling diffuser Wall diffuser unit Swirl diffuser Floor diffuser Auditorium diffuser Linear slot diffuser DV diffuser External louvre Smoke damper

16 Low mixing Diffusers Displacement ventilation

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19 18.7

20 Diffuser Selection Procedure
Select and locate diffusers, divide airflow amongst diffusers V = maximum volumetric flow rate (m3/s, ft3/min) Qtot = total design load (W, BTU/hr) Qsen = sensible design load (W, BTU/hr) ρ = air density (kg/m3, lbm/ft3) Δt = temperature difference between supply and return air (°C, °F) Δh = enthalpy difference between supply and return air (J/kg, BTU/lbm)


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