PROCESS CONTROL - EXAMPLE 6.3 : The differential equation is 3 dy / dt + 2y = 1

PROCESS CONTROL - EXAMPLE 6.3 : The differential equation is 3 dy / dt + 2y = 1 with y(0) = 1. (a) The Laplace transformation, L for given terms are : L (dy / dt) = sY(s) - y(0), L(y) = Y(s), L(1) = 1 / s. Use such transformation to find Y(s). (b) The initial value theorem states that : When t approaches 0 for a function of y(t), it is equal to a function of sY(s) when s approaches infinity. Use the initial value theorem as a check to the answer found in part (a).

Question Posted / kangchuentat

1 Answers
1712 Views
I also Faced
E-Mail Answers

PROCESS CONTROL - EXAMPLE 6.3 : The differential equation is 3 dy / dt + 2y = 1 with y(0) = 1. (a) ..

Answer / kangchuentat

PROCESS CONTROL - ANSWER 6.3 : (a) For the equation 3 dy / dt + 2y = 1, its Laplace transformation is 3 [ sY(s) - y(0) ] + 2Y(s) = 1 / s, 3 (sY - 1) + 2Y = 1 / s, 3sY - 3 + 2Y = 1 / s, 3sY + 2Y = 1 / s + 3, Y (3s + 2) = (1 + 3s) / s. Y = Y(s) = (1 + 3s) / [ s (3s + 2) ]. (b) Initial value theorem states that y(0) = sY(infinity), then 1 = s (1 + 3s) / [ s (3s + 2) ] = (1 + 3s) / (3s + 2) approaches 1 when the value of s approaches infinity. The checking is correct. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.

Is This Answer Correct ?

0 Yes

0 No

Post New Answer

More Chemical Engineering Interview Questions

what is extractive distillaion

6 Answers ONGC,

What is the principles of crayogenic expansion turbin

1 Answers Goyal Group,

Explain what are some good uses of low-grade steam at 12 atm and 1920c?

0 Answers

I am a Diploma Chemical Engineer by Nirma Uni; and BEng (Hons) Energy & Environmental Engineer by Napier Uni; Edinburg, UK. HPCL chemical engineering test will held on 14th July,09. So, Please send me some previous chemical engineering papers Objective types Or material to give the test.

0 Answers HPCL,

Explain what types of valves are recommended for slurry services?

0 Answers

I am writing the chemical engineering subject test for Reliance India Limited. Could someone who has taken the test please list some of the questions from that paper?

2 Answers

What compounds are responsible for the odors that come from wastewater treatment plants?

0 Answers

which book is better for written test of a refinery or a chemical industry-o.p gupta or DR.RAM PRASAD?

2 Answers

Question 30 – Solve the simultaneous equation using simple Excel program : r + s – t = 7, 2r – s = 0, 3r + 2t = 15. Explain the use of functions of MINVERSE and MMULT together with the keyboard C (Ctrl) + S (Shift) + E (Enter).

1 Answers

I would like to know how to size a partial combustion reactor processing methane and oxygen, as a function of the flowrate and of the pressure.

0 Answers

What is the purpose of capacitor?

0 Answers

HOW WOULD YOU CALIBRATE A ROTAMETER

2 Answers IOCL,

For more Chemical Engineering Interview Questions Click Here