# Assume the temperature of the exhaust in an exhaust pipe can be approximated by T=T_0...

## Question:

Assume the temperature of the exhaust in an exhaust pipe can be approximated by

{eq}T=T_0 (1+ae^{-bx})(1+c\cos{(\omega t)}) {/eq}

where {eq}T_0=100°C, a=3. b=0.03m^{-1}, c=0.037 {/eq}, and {eq}\omega=100 rad/s {/eq}. If the exhaust speed is a constant 3 m/s, determine the time rate of change of temperature of the fluid particles at

(a) x = 0 m

(b) x = 4 m

when t = 0.

## Temperature:

Temperature is the measure of thermal energy that is present in a body or an object. It is specified with a reference to a fixed temperature scale. The standard units for representing temperature is either degree Celsius or Kelvin.

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The rate of change of temperature is,

{eq}\dfrac{{dT}}{{dt}} = \dfrac{{\partial T}}{{\partial t}} + u\dfrac{{\partial T}}{{\partial...

What is Temperature? - Definition & Measurement

from

Chapter 1 / Lesson 7
222K

Measuring the kinetic energy of the molecules of a substance is what is known as temperature. Explore the definition and an example of temperature, as well as how it's measured and the relationship between thermal and kinetic energy.