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Fluid Dynamics

The study of the motion of fluids (liquids and gases) and the forces causing this motion, Fluid Dynamics has several subdisciplines, including hydrodynamics and aerodynamics. To ask and answer questions about Fluid dynamics and its subdisciplines, come on in to the Fluid Dynamics category.

621 Questions

Give the physical interpretation of the substantial derivative?

The first ∂/∂t term is called V the local derivative. The second ~· ∇ term is called the convective derivative. In steady flows, ∂/∂t =0, and only the convective derivative

The substantial derivative has a physical meaning: the rate of change of a quantity (mass,

energy, momentum) as experienced by an observer that is moving along with the flow. The

observations made by a moving observer are affected by the stationary time-rate-of-change

of the property (∂f/∂t), but what is observed also depends on where the observer goes as

it floats along with the flow (v · ∇f). If the flow takes the observer into a region where, for

example, the local energy is higher, then the observed amount of energy will be higher due

to this change in location. The rate of change from the point of view of an observer floating

along with a flow appears naturally in the equations of change.

Why two streamlines can not intersect with each other?

The direction of the velocity of a fluid at any point is taken to be tangential to its streamline at that point. When two streamlines intersect two tangents can be drawn at the point of intersection. It inturn means that the fluid has velocity in two different directions which is not possible. Therefore 2 streamlines cannot intersect.

Is zero-shear viscosity the same as maximum viscosity?

To answer my own question :), if I interpret the differentials correctly, viscosity does have its maximum when there are no shearing forces, regardless of whether the fluid is newtonian or not. So, in short, yes.

What are types of motion?

Types of motion include linear motion (movement in a straight line), circular motion (movement in a circular path), rotational motion (spinning or rotating around a central point), and oscillatory motion (repetitive back-and-forth motion).

Why does a straw appear to bend in water?

the air in the liquid is blocked off by your mouth when its on the straw so when u sip the flow of air and carbons bring the liquid thorugh the straw

through capillary action http://www.answers.com/topic/capillary-action-1

A 1.20 x 103 kg car accelerates uniformly for 15.0s from rest During this time the car travels 176m north What is the net force acting on the car during this acceleration?

To find the net force acting on the car, we can use Newton's second law: [ F = ma ] where ( m = 1.20 \times 10^3 , \text{kg} ) and ( a ) can be calculated from the kinematic equation: [ d = \frac{1}{2} at^2 ] Given that the car starts from rest, the initial velocity is 0, so ( a = \frac{2d}{t^2} ). Substitute the values and solve for ( F ) to find the net force acting on the car.

Why does warmer air take up more space than colder air?

yes because Humidity depends on water vaporization and condensation, which, in turn, mainly depends on temperature. Therefore, when applying more pressure to a gas saturated with water, all components will initially decrease in volume approximately according to the ideal gas law. However, some of the water will condense until returning to almost the same humidity as before, giving the resulting total volume deviating from what the ideal gas law predicted. Conversely, decreasing temperature would also make some water condense, again making the final volume deviate from predicted by the ideal gas law. Therefore, gas volume may alternatively be expressed as the dry volume, excluding the humidity content. This fraction more accurately follows the ideal gas law. On the contrary the saturated volume is the volume a gas mixture would have if humidity was added to it until saturation (or 100% relative humidity).

Humid air is less dense than dry air because a molecule of water (M ≈ 18 u ) is less massive than either a molecule of nitrogen (M ≈ 28) or a molecule of oxygen (M ≈ 32). About 78% of the molecules in dry air are nitrogen (N2). Another 21% of the molecules in dry air are oxygen (O2). The final 1% of dry air is a mixture of other gases.

For any gas, at a given temperature and pressure, the number of molecules present in a particular volume is constant - see ideal gas law. So when water molecules (vapor) are introduced into that volume of dry air, the number of air molecules in the volume must decrease by the same number, if the temperature and pressure remain constant. (The addition of water molecules, or any other molecules, to a gas, without removal of an equal number of other molecules, will necessarily require a change in temperature, pressure, or total volume; that is, a change in at least one of these three parameters. If temperature and pressure remain constant, the volume increases, and the dry air molecules that were displaced will initially move out into the additional volume, after which the mixture will eventually become uniform through diffusion.) Hence the mass per unit volume of the gas-its density-decreases. Isaac Newton discovered this phenomenon and wrote about it in his book Opticks.[14]

Why do fresh apples float?

Fresh apples have air pockets within their flesh, which make them less dense than water. This lower density causes them to float. Over time, as apples age and lose moisture, they may become denser and sink in water.

Does air temperature affect air resistance?

There are two factors that influence air resistance with temperature.

Air density decreases with temperature so that the force needed to push the air out of the way is decreased, thereby decreasing resistance. Conversely, air viscosity increases with temperature (unlike oil for example where viscosity decreases with temperature) so that the drag increases.

Under normal conditions, the density change of air has the greatest effect and air resistance decreases at higher temperatures.

What is the opposite to accelerate?

The opposite of accelerate is decelerate, which means to slow down or reduce speed.

Is air pressure greater than water pressure?

In most cases, air pressure is lower than water pressure. Water is denser than air, so it exerts more pressure on objects at the same depth. For example, at sea level, air pressure is around 14.7 pounds per square inch (psi), while water pressure increases by 1 atm (approximately 14.7 psi) for every 33 feet of depth.

What is the primary process that moves water from the liquid state back into the atmosphere as water vapor?

The primary process that moves water from the liquid state back into the atmosphere as water vapor is evaporation. Evaporation occurs when water molecules gain enough energy to break free from the liquid surface and become vapor in the air.

Would mercury bead up more on a waxed or unwaxed car?

Short Answer:

One expects mercury, like water, to bead more on a waxed surface and less on a painted or metallic surface.

Explanation:

The phenomena of beading of any liquid depends on the density of the liquid and the interfacial surface tension between the liquid and the surface with which it is in contact.

Mercury has a large surface tension normally. The mercury-air interface has a surface tension of about 482 dynes/cm compared to water-air which is about 72 dynes/cm. Both of these are larger than most other liquids. The water-mercury interface has a surface tension of 415 dynes/cm.

Both water and mercury decrease surface tension when in contact with a polar medium such as an alcohol.

Wax is very non-polar while paint is presumably slightly polar. Of course, metal would be more polar. (Perhaps polarizable is a better term.) One expects mercury, like water, to bead more on a waxed surface and less on a painted or metallic surface.

What happens to waves as they move from deep to shallow water?

when a tsunami wave hits shallow waters it increases in height....

With normal waves as a wave reaches shallow water the distance between the bottom and surface decreases forces the fast travelling wave to slow down but increase in height once the height of the wave above the waterline is greater than that of the distance between the bottom and surface the wave breaks

What are Examples of low viscous liquids?

Examples of low viscous liquids include water, alcohol, and acetone. These liquids have low resistance to flow and are less thick in consistency compared to high viscous liquids like honey or molasses.

What is the relationship between air resistance and the acceleration of falling objects?

As an object falls towards the earth, it accelerates due to the force of gravity acting on it's mass. As velocity increases, air resistance increases. This is in the opposite direction to the force of gravity on the object. Therefore the resultant force on the object is decreased, and the rate of acceleration is reduced. Eventually, the force due to the air resistance is equal in magnitude to the weight and the object has no resultant force acting. At this point the object will be travelling at a constant velocity, commonly referred to as Terminal Velocity.

What is elsasser number?

Walter Elsasser proposed that magnetic field intensity saturates near an Elsasser number of one. The Elsasser number is \Lambda=\sigma B^2/\rho \Omega where \sigma is conductivity, \rho is density, and \Omega is the Earth's rotation rate. Elsasser scaling is setting \Lambda=1 so that the magnetic field scales as B=\sqrt{\rho\Omega/\sigma}.

What causes the water temperature to rise when the car is turned off after running?

A certain amount of the energy carried by the cooling water, is kinetic energy, from the circulation through the cooling system. When the engine is turned off, the water stops circulating. The kinetic energy contained in the water is converted to heat, thus raising the temperature of the coolant.

What is the difference between viscosity and surface tension?

Viscosity is the resistance of flow and surface tension is the lateral force of the bonds between the molecules.

Of course, viscosity is resistance of flow and surface tension of lateral force but viscosity is s display of frictional force during laminar flow caused due to intermolecular forces. The surface tension is a function of cohesive forces generated by intermolecular forces among similar molecules. Very rightly since both the parameters are dynamic in natures and hence a 3rd parameter noted as friccohesity is most advanced version of the contribution of the intermolecular forces operational in liquid dynamic behavior. The friccohesity along with surface tension, viscosity, wetting coefficient, interfacial tension are measured with borosil mansingh survismeter.

Distigusing joint venture and consignment?

In a joint venture, two or more parties come together to collaborate and create a new entity to pursue a specific business opportunity. Each party shares in the profits, losses, and risks of the venture. In consignment, one party (the consignor) entrusts goods to another party (the consignee) to sell on their behalf. The consignor retains ownership of the goods until they are sold, at which time the consignee receives a commission.

Does ketchup have viscous?

By viscous, I think you mean viscosity. Viscous is a adjective referring to the thickness of a substance; therefore, yes, ketchup is somewhat viscous.

How is water powerful?

Water is powerful due to its ability to shape landscapes through erosion, transport nutrients and sediments, support ecosystems, moderate climate through its heat capacity, and sustain life by being essential for survival. Its unique properties allow it to exist in all three states of matter, making it a crucial element for various natural processes on Earth.

How do you calculate the maximum flow rate for all sizes of pipes?

For pressure pipe fill a 5 gal bucket of water and time it to get gal per minute.

For gravity flow rate should be 2.5 feet per second. Determine how high the flow is in the pipe and use pie r squared times L for capacity.

What does psi stands for?

Among other things, it may refer to a non-standard (non-SI) unit of pressure, "pounds per square inch".

Psi is a Greek letter in the Greek alphabet (uppercase Ψ) (lowercase ψ).

When it is used in mathematical form it is called The Reciprocal Fibonacci Constant (Fibonacci discovered it) and it equals approximately 3.35988566243177553172011302918927...