Process Dynamics and Control, 4e
4th Edition
ISBN: 9781119285915
Author: Seborg
Publisher: WILEY
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Chapter 2, Problem 2.5E
Interpretation Introduction
(a)
Interpretation:
Dynamic model for the pressures in the given two surge tanks as well as for the air mass flow rates is to be developed.
Concept introduction:
For chemical processes, dynamic models consisting of ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances
The process models generally include algebraic relationships which commence from
In the steady-state process, the accumulation in the process is taken as zero.
Interpretation Introduction
(b)
Interpretation:
The model of the given surge tanks are to be modified for adiabatic conditions of operation. Also, the approach used in preparing the model is to be stated if the ideal gas law were not a good approximation for the given process.
Concept introduction:
For chemical processes, dynamic models consisting of ordinary differential equations are derived through unsteady-state conservation laws. These laws generally include mass and energy balances
The process models generally include algebraic relationships which commence from thermodynamics, transport phenomena, chemical kinetics, and physical properties of the processes.
In the steady-state process, the accumulation in the process is taken as zero.
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acetone with these parameters: po:=101325; #Standard atmospheric pressure in PaTfo:=273.15-94.45; #Melting temperature in K Tvo:=273.15+56.15; #Boiling temperature in K Hv:=31270; #Enthalpy of vaporization in J/molR:=8.314; #Gas Constant in J/mol*KNLe:=1.76; #Lewis number for acetoneMw:= 0.05808 ; #kg/mol molecular weight of acetoneW0:= 0.15; Wsp:=0.005;Am:= 0.12; #m^2/kg dry solid for the exposed wet areah:= 11; #W/m^2K for heat transfer coefficienttau__min:= Hv*(W0-Wsp)/Mw/Am/h/(T8-TS); tau__min/60;
chemical engineering
Material-energy balance.
Only focus on the nitrogen gas, which is H(3)
1.
The settling chamber, shown schematically in Figure 2E1.1, is used as a primary separation device in
the removal of dust particles of density 1500 kg/m³ from a gas of density 0:7 kg/m³ and viscosity 1.90 x 10-5
Pa s.
Gas
inlet
Elevation
Gas
Gas
exit
exit
H
Collection
surface
-W
Section X-X
Dimensions:
H=3m
L = 10 m
W=2m
Figure 2E1.1 Schematic diagram of settling chamber
Assuming Stokes' law applies, show that the efficiency of collection of particles of size x is
given by the expression
collection efficiency, x =
x²8(pp - Pi)L
18μHU
where U is the uniform gas velocity through the parallel-sided section of the chamber.
State any other assumptions made.
(b) What is the upper limit of particle size for which Stokes' law applies?
(c) When the volumetric flow rate of gas is 0.9 m³/s, and the dimensions of the chamber are those shown
in Figure 2E1.1, determine the collection efficiency for spherical particles of diameter 30 mm.
Chapter 2 Solutions
Process Dynamics and Control, 4e
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