Homework SourseIt is assumed that the temperature of the exhaust in an exha
It is assumed that the temperature of the exhaust in an exhaust pipe can be approximated by T = T_0(1 + ae^-bx)[ 1 + c cos omegat], where T_0 = 100 degreeC,a = 3,b = 0.03 m^-1, c = 0.05 and omega = 100 rad/s. For a constant exhaust speed of 3 m/s, determine the time rate of change of temperature of the fluid particles at x = 0 and x = 4 m when t = 0.![It is assumed that the temperature of the exhaust in an exhaust pipe can be approximated by T = T_0(1 + ae^-bx)[ 1 + c cos omegat], where T_0 = 100 degreeC,a =](/WebImages/28/it-is-assumed-that-the-temperature-of-the-exhaust-in-an-exha-1074584-1761563402-0.webp "It is assumed that the temperature of the exhaust in an exhaust pipe can be approximated by T = T_0(1 + ae^-bx)[ 1 + c cos omegat], where T_0 = 100 degreeC,a =")
Solution
time rate of change of T will be = 0.05 +0.03 = 0.08 sec
