5.20 Uppal, Ray, and Poore provide the following system of differential equation

Question

5.20 Uppal, Ray, and Poore provide the following system of differential equations describing irreversible, first-order, exothermic reactions in a CSTR r2 dt dx2 r2 where X and 2 are dimensionless concentration and temperature variables respectively, and Da, y, B, and B are dimensionless parameters that describe the dynamic behavior of the CSTR. Write a MATLAB function that will create phase planes for each of the following cases. Briefly explain the result of each phase plane. (a) (b) (c) Use the parameters Da-0.085. B-22.0, and = 3.0 with an initial condition of xi-0.8, x2 = 4.25. Use the parameters Da = O. 150. B = 19.0, and = 3.0 with an initial condition of xi = 0.9, x2 = 6.25. Use the parameters Da = 0.320. B = 1 1 . 2. and = 3.0 with initial conditions of xi = 0.95, X2 = 2.5, and xi = 0.7, x2 = 1.8.

Explanation / Answer

LIBRARY IEEE;

USE ieee.std_logic_1164.ALL;

USE ieee.numeric_std.ALL;

ENTITY HW7 IS  

PORT (clk,reset_n,d : IN std_logic; --reset_n = low active

q: OUT std_logic);

END ENTITY HW7;

ARCHITECTURE Behavioral OF HW7 IS --DFF with a synchronous reset

BEGIN

PROCESS (CLK)

BEGIN

IF (rising_edge(clk)) THEN

IF(reset_n = '0') THEN  

q <= '0' ;

ELSE

q <= d;

END IF;

END IF;

END PROCESS;

END ARCHITECTURE Behavioral;

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