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Examples

MoistAirTab™ Example 7 - Solids Drying

Example 7

A continuous hot air drying system is employed to remove 3,500 lb of moisture per hour from the solid stock being dried. The system consists of a low-head fan, a steam-heated air heater, and a rotary drum dryer. The ambient air, under the design condition of 68°F, 760 mmHg and a relative humidity of 40%, is pressurized by an axial fan unit to 775 mmHg. The fan unit has an adiabatic efficicency of 70%. The steam heater would preheat the to 175°F with a pressure drop of 10 mm Hg; The air emerges from the drier at 95°F, a pressure of 755 mm Hg and a relative humidity of 90%. Seek to define all process units involved in terms of energy requirement, sizing, and flow rates.

Solution

The solution is presented below as a table generated from Excel. The gray shaded areas represent the input data.

State Point Unit 1 2 3 4 Overall
Location   Ambient Air Fan Outlet Heater Outlet Dryer Outlet Summary
Pressure mm Hg 760 775 765 755  
  psia 14.70 14.99 14.79 14.60  
Dry bulb temperature oF 68.00 72.22 175.00 95.00  
Relative humidity % 40.00%     90.00%  
Humidity ratio lbw/lbdry air 0.00582 0.00582 0.00582 0.03311  
             
Total moisture removed lbw/hr         3500
Moisture removal capacity lbw/lbdry air         0.02729
Air flowrate (dry basis) lbdry air/hr         128,250
             
Entropy of moist air Btu/(lbdry air.°F) 0.0302 0.0308 0.0747 0.0994  
Enthalpy of moist air Btu/lbdry air 15.00 16.02 41.03 51.64  
             
Adiabtic efficiency %   70%      
Entropy (Ideal) of moist air Btu/(lbdry air.°F)   0.03024      
Enthalpy (Ideal) of moist air Btu/lbdry air   15.71      
Enthalpy Difference (Ideal) Btu/lbdry air   0.72      
Enthalpy Difference (Real) Btu/lbdry air   1.02      
Enthalpy of moist air (calc.) Btu/lbdry air   16.02      
             
Energy Input Btu/lbdry air   1.02     131,077
Motor kW/lbdry air   0.0003     38
             
Specific volume of moist air ft3/lbdry air 13.42 13.27 16.04 14.82  
Volumetric flow rate ACFH 1,721,300 1,701,496 2,057,650 1,900,480  
  ACFM 28,688 28,358 34,294 31,675