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What is viscosity? What causes viscosity in liquids and in gases? Is dynamic viscosity typically higher for a liquid or for a gas?

Short Answer

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Answer: Viscosity is a measure of a fluid's resistance to flow, reflecting its internal friction during movement. In liquids, viscosity is mainly caused by cohesive forces between molecules like hydrogen bonds, van der Waals forces, and dipole-dipole interactions. In gases, viscosity is due to collisions and momentum transfer between gas molecules. Typically, the dynamic viscosity of liquids is higher than that of gases, primarily because cohesive forces in liquids are generally stronger than molecular collisions in gases.

Step by step solution

01

Definition of Viscosity

Viscosity is a measure of a fluid's resistance to flow. It is a property that describes the internal friction of the fluid when it is subjected to deformation or movement. The higher the viscosity, the thicker and slower a fluid will flow. Viscosity can be classified into two types: dynamic viscosity and kinematic viscosity. In this exercise, we will focus on dynamic viscosity.
02

Viscosity in Liquids

In liquids, viscosity is primarily caused by the cohesive forces between the molecules. These forces include hydrogen bonds, van der Waals forces, and dipole-dipole interactions, among others. Due to these forces, the molecules in a liquid experience resistance when they flow past one another. As a result, liquids with higher cohesive forces exhibit greater resistance to flow, resulting in higher viscosity.
03

Viscosity in Gases

Viscosity in gases is caused by the collisions and transfer of momentum between the gas molecules. When a gas is subjected to deformation or movement, the molecules collide with each other, as well as with the walls of a container if present, leading to a resistance to flow. Unlike liquids, the viscosity of gases is mostly affected by the temperature and not their cohesive forces. As the temperature of the gas increases, the gas molecules move faster and collide more frequently, resulting in higher viscosity.
04

Comparison of Dynamic Viscosity in Liquids and Gases

Typically, dynamic viscosity is higher for liquids than for gases. This is because the cohesive forces acting in liquids are generally stronger than the molecular collisions in gases. In addition, liquids are more closely packed compared to gases, leading to more significant interactions between the molecules. As a result, liquids generally demonstrate a higher resistance to flow or deformation compared to gases, which leads to a higher dynamic viscosity.

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Most popular questions from this chapter

Object 1 with a characteristic length of \(0.5 \mathrm{~m}\) is placed in airflow at \(1 \mathrm{~atm}\) and \(20^{\circ} \mathrm{C}\) with free stream velocity of \(50 \mathrm{~m} / \mathrm{s}\). The heat flux transfer from object 1 when placed in the airflow is measured to be $12,000 \mathrm{~W} / \mathrm{m}^{2}$. If object 2 has the same shape and geometry as object 1 (but with a characteristic length of \(5 \mathrm{~m}\) ) and it is placed in the airflow at \(1 \mathrm{~atm}\) and \(20^{\circ} \mathrm{C}\) with free stream velocity of \(5 \mathrm{~m} / \mathrm{s}\), determine the average convection heat transfer coefficient for object 2 . Both objects are maintained at a constant surface temperature of \(120^{\circ} \mathrm{C}\).

For what types of fluids and flows is the viscous dissipation term in the energy equation likely to be significant?

Consider airflow over a plate surface maintained at a temperature of \(220^{\circ} \mathrm{C}\). The temperature profile of the airflow is given as $$ T(y)=T_{\infty}-\left(T_{\infty}-T_{s}\right) \exp \left(-\frac{V}{\alpha_{\text {faid }}} y\right) $$ The airflow at 1 atm has a free stream velocity and temperature of $0.08 \mathrm{~m} / \mathrm{s}\( and \)20^{\circ} \mathrm{C}$, respectively. Determine the heat flux on the plate surface and the convection heat transfer coefficient of the airflow.

An electrical water \((k=0.61 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\) heater uses natural convection to transfer heat from a \(1-\mathrm{cm}\)-diameter by \(0.65\)-m-long, \(110 \mathrm{~V}\) electrical resistance heater to the water. During operation, the surface temperature of this heater is \(120^{\circ} \mathrm{C}\) while the temperature of the water is \(35^{\circ} \mathrm{C}\), and the Nusselt number (based on the diameter) is 6 . Considering only the side surface of the heater (and thus \(A=\pi D L\) ), the current passing through the electrical heating element is (a) \(3.2 \mathrm{~A}\) (b) \(3.7 \mathrm{~A}\) (c) \(4.6 \mathrm{~A}\) (d) \(5.8 \mathrm{~A}\) (e) \(6.6 \mathrm{~A}\)

What fluid property is responsible for the development of the velocity boundary layer? For what kinds of fluids will there be no velocity boundary layer on a flat plate?

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