Question: Provide an octave code to the following problem. The final answer must be 1.5 hours. Tests conducted on a laboratory plate-and-frame filter produced the data

Provide an octave code to the following problem. The final answer must be 1.5 hours.

Provide an octave code to the following problem. The final answer must

be 1.5 hours. Tests conducted on a laboratory plate-and-frame filter produced the

Tests conducted on a laboratory plate-and-frame filter produced the data given below. Determine the time required to process 50m3 of the same filtrate in a filter press with an area of 50m2, using the same cloth and filter aid as the laboratory unit. Data: c=2,710kg/m3; medium resistance, Rm=6.4621010/m; filtrate viscosity, =2.78107Nh/m2;cF=10.037kg/m3; =1.0691011m/kg. Solution The pump characteristic curve, Figure 19.25, shows the pump discharge pressure, as a function of volumetric flow rate through the pump, Q. Assume the flow rate is the filtrate, where Q=dV/dt. The time required for a volume of filtrate, V, is t=0VQdV which can be numerically integrated as follows. Assume the P across the filter medium and cake in bar = the discharge pressure of the pump in barg. Rearrange the Darcy equation, (19-22), so that V is a function of Q : Q=AcP/[Rm+acF(V/Ac)] Solving for V, V=cFAc[QAcPRm] Thus, using SI units, V==2.78107(1.0691011)(10.037)50[Q50(P)2.78107(6.4621010)]0.00838[P/Q359] Using the pump characteristic curve of Figure 19.25, tabulate Q, P,V from (4), and 1/Q starting from Q=45m3/h and marching down in increments of 5m3/h. Then plot 1/Q versus V until it just exceeds 50m3/h. From (1), by graphical integration, the area under the curve from V=0 to 50m3/h, as shown in Figure 19.26, is equal to the filtration time. Figure 19.26 Graphical integration for Example 19.9. Graphical integration gives 1.5h

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Chemical Engineering Questions!