Chapter 3, Problem 3.5P

(a)

Interpretation Introduction

Interpretation:

The Reynolds number for the flow in the automobile exhaust pipe for the 2-L 4-cycle engine operating at 3000 rpm is to be calculated.

Concept Introduction:

The formula for the Reynold number $N_{\mathrm{Re}}$ is defined as:

  $N_{\mathrm{Re}}=\frac{D\overline{V}\rho }{\mu }$ ...... (1)

Here, $\overline{V}$ is the average liquid velocity, $\rho$ is the density of the fluid, $\mu$ is the viscosity of the fluid, and $D$ is the pipe diameter.

The ideal gas equation is:

  $p=\frac{\rho RT}{M}$ ...... (2)

Here, $\rho$ is the density of the gas, $p$ is the pressure of the gas, $M$ is the molar mass of the gas, $T$ is the temperature of the gas, and $R$ is the universal gas constant.

(b)

Interpretation Introduction

Interpretation:

The size of the channels in the converter to get the laminar flow is to be calculated.

Concept Introduction:

The formula for the Reynold number, $N_{\mathrm{Re}}$ is defined as:

  $N_{\mathrm{Re}}=\frac{D\overline{V}\rho }{\mu }$ ...... (1)

Here, $\overline{V}$ is the average liquid velocity, $\rho$ is the density of the fluid, $\mu$ is the viscosity of the fluid, and $D$ is the pipe diameter.

The ideal gas equation is:

  $p=\frac{\rho RT}{M}$ ...... (2)

Here, $\rho$ is the density of the gas, $p$ is the pressure of the gas, $M$ is the molar mass of the gas, $T$ is the temperature of the gas, and $R$ is the universal gas constant.