An egg with an initial temperature 25C was place into a boiling water for 15 minutes. Heat from the boiling water enters the egg and changes its temperature gradually over time and space. Using the 2 dimensional finite element method, prove that the temperature of the egg varies from the shell to the center of the egg. You may need to develop your own nodes before start deriving the equations.

Answers

Answer 1

It is proved from the below that the temperature of the egg varies from the shell to the center of the egg.

Using the 2-dimensional finite element method, we will need to find the Biot number of the system by using the formula:

[tex]\mathbf{Bi = \dfrac{h_c r_o}{k} }[/tex]

According to the Heisler chart, the curves in the graph represent a range of values for the inverse of the Biot number,

where;

[tex]\mathbf{Bi = \dfrac{h_c r_o}{k} }[/tex]

here;

k = the material's thermal conductivity h = the heat transfer coefficient.

By developing nodes based on assumptions;

[tex]\mathbf{Bi = \dfrac{1700 \times 0.025}{0.682} }[/tex]

Bi = 62.32

The inverse of Biot number is:

[tex]\mathbf{=\dfrac{1}{Bi}}[/tex]

[tex]\mathbf{=\dfrac{1}{62.32}}[/tex]

= 0.016

Similarly, the Fourier number [tex]\mathbf{F_o}}[/tex] is calculated by using the expression;

[tex]\mathbf{F_o = \dfrac{\alpha t }{r_o^2} }[/tex]

[tex]\mathbf{F_o = \dfrac{k t }{\rho c_pr_o^2} }[/tex]

where;

time (t) = 15 mins = (15 × 60) sec

[tex]\mathbf{F_o = \dfrac{0.682 \times 15 \times 60 }{958.4 \times 4211 \times 0.025^2} }[/tex]

[tex]\mathbf{F_o = 0.243}[/tex]

Using the 2-dimensional finite element method, the temperature ratio is:

[tex]\mathbf{\dfrac{T(0,t) -T_{\infty}}{T_o -T_{\infty}} = 0.1 }[/tex]

T(0,t) = 100 + 0.1(4-100)

T(0,t) = 100 + 0.1(-96)

T(0,t) = 100 - 9.6

T(0, t) = 90.4° C

Therefore, we can conclude that it is proved that the temperature of the egg varies from the shell to the center of the egg.

Learn more about the Heisler chart here:

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Related Questions

Engineer It A water heater is a tank in which cold water is heated. Cold water flows into the tank to keep it full. A heating element warms the water inside the tank. The heated water can then be sent to hot water faucets in a building. Assume that a water heater design requires the hottest water possible to be sent to hot water faucets in a building. Where would be the best place for the hot water outlet pipe to be attached to the tank: the top, the middle, or the bottom of the tank? Explain your answer.

Answers

Answer:

i think it would be the top, the hotter the water the more pressure and sense pressure builds at the top of water heater tanks you would want the outlet pipe at the top

Explanation:

I think it would be the top, the hotter the water the more pressure and sense pressure builds at the top of water heater tanks you would want the outlet pipe at the top.

What is Heater?

The process of transforming electrical current into heat energy is known as electric heating. An electrical resistor serves as the heating element in an electric heater, and heat is generated there when an electric current flows through it.

This procedure is frequently utilized in a wide range of domestic applications. from using an electric burner to prepare food, a kettle to boil water, and of course, house heating.

With one significant exception—they don't rely on a boiler and a system of pipes to produce the heat—electric heaters and radiators function exactly like your central heating radiators that are plumbed in.

Therefore, I think it would be the top, the hotter the water the more pressure and sense pressure builds at the top of water heater tanks you would want the outlet pipe at the top.

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State Conditions necessary for static equilibrium of a particle of a rigid body​

Answers

Answer:

Conditions for equilibrium require that the sum of all external forces acting on the body is zero (first condition of equilibrium), and the sum of all external torques from external forces is zero (second condition of equilibrium). These two conditions must be simultaneously satisfied in equilibrium.

Hi there!

For a particle to be in static equilibrium:

[tex]\huge\boxed{\Sigma \tau = 0}}[/tex]

The sum of torques acting on the particle must equal 0 Nm.

[tex]\huge\boxed{\Sigma F = 0}}[/tex]

The sum of forces acting on the particle must equal 0 N.

Both of these conditions MUST be met in order for a particle to be in STATIC equilibrium.

Twisting force is known as: A. thrust.
B. horsepower.
C. torque.
D. energy

Answers

C. Torque. Hope this helps!!!!!!!!

what is Agriculture and Environmental Engineering ​

Answers

Answer:

Agricultural engineers attempt to solve agricultural problems concerning power supplies, the efficiency of machinery, the use of structures and facilities, pollution and environmental issues, and the storage and processing of agricultural products.

Differentiate between strain hardening exponent and strain rate sensitivity ​

Answers

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Which of the following is a Dashboard Scoreboard for alignment of the business where information is constantly flowing through the Tiers so immediate actions can be taken?

Answers

Answer:

What is a dashboard?

A dashboard is an information management tool used to track KPIs, metrics, and key data points that are relevant to your business, department, or a specific process. Dashboards aggregate and visualize data from multiple sources, such as databases, locally hosted files, and web services. Dashboards allow you to monitor your business performance by displaying historical trends, actionable data, and real-time information.

Dashboards actually take their name from automobile dashboards and they are used in much the same way. For the sake of an analogy, let’s look at a car. There may be hundreds of processes that impact the performance of your vehicle if you look under the hood. Your car’s dashboard summarizes this using visualizations so you can focus on what matters most: safely driving your vehicle.

For businesses, there are hundreds of processes that impact your performance if you look ‘under the hood’, so to speak. And with a wealth of data made available these days, managing and extracting value from it can be difficult. Simplifying data analysis and distribution through tools like dashboards is a way to help businesses rev their engines and make smarter, better, faster data-driven decisions.

And a well designed dashboard levels up your approach to information management. Everyone in the business, regardless of role, has questions about your company performance, whether it be campaign performance, new wins, or churn rate. Dashboards bring everyone (and your metrics) together in one place to answer these questions.

Explanation:

Twisting force is known as:
Select one:
A. thrust.
B. horsepower.
C. torque.
D. energy.

Answers

The correct answer is C. Torque

Which of the following classes of biomaterials would be most appropriate for fabricating an artificial tendon, a tissue that must sustain substantial deformation at low forces and quickly regain its original dimensions after stress release? Why ?

(a) Metals
(b) Ceramics
(c) Polymers

Answers

B is the correct answer
B. Is the right answer hope this help

As
is the rate (in time and distance) at which that force
is a twisting or turning force,
is produced
(
Select one:
O A. Torque; horsepower; torque
OB. Torque; horsepower; horsepower
O C. Horsepower; torque; horsepower
O D. Horsepower; torque; torque
Clear my choice

Answers

Answer:

C

Explanation:

As horsepower is the rate  at which that force torque  is a twisting or turning force, horsepower is produced. Hence option  C is correct.

What is horsepower?

Horsepower is defined as a unit used to describe the pace at which labor is done or to quantify power, frequently in relation to the output of engines or motors. Standardization and types of horsepower vary widely. A car's engine power is measured in horsepower (hp); the greater the number, the more power is transferred to the wheels and, in theory, the faster it will travel.

To put it simply, horsepower is your overall speed and power, whereas torque allows you to feel the sensation of acceleration when you put your foot down. When you realize that horsepower is derived from torque, this makes sense. Torque is a unit of rotational or twisting force. The power an engine produces is referred to as horsepower.

Thus, as horsepower is the rate  at which that force torque  is a twisting or turning force, horsepower is produced. Hence option  C is correct.  

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A cylindrical work part has a diameter and a height of both as 6cm. The coefficient of friction at the die work interface is 0.10. The work metal has a strength coefficient of 270MPa, yield strength of 110MPa, and a strain hardening exponent of 0.15. Determine the instantaneous force in N at a height of 4cm

Answers

the answer to this question: 4.50

Read an integer from the user repeatedly, until the user enters a negative number. use for loop (C programming)​

Answers

Answer:

go on then

Explanation:

List the crops that can be used dibbler .

Answers

Answer:

A dibber or dibble or dibbler

Explanation:

A dibber or dibble or dibbler is a pointed wooden stick for making holes in the ground so that seeds, seedlings or small bulbs can be planted. Dibbers come in a variety of designs including the straight dibber, T-handled dibber, trowel dibber, and L-shaped dibber

type the correct answer in the box Spell all words correctly
Damien wants to study the effect on a material's elasticity after it is submerged in water for varying durations. What type of graphical tool should
holin
Damien can stucty how the material behaves when immersed by using a
Curve

Answers

Damien can study how the material behaves when immersed by using a; Stress - Strain Curve

To determine the elasticity of a material, we need to find the elastic modulus because the elastic modulus is what quantifies the elasticity of the material.

Now, formula for elastic modulus is;

E = stress/strain

Now, to study the effect on a material's elasticity after it is submerged in water for varying durations, since elasticity is based on the stress and strain on the material, we need to draw a graph of stress vs strain which is also called a stress - strain curve.

The stress strain curve is a graphical tool that helps us know to know the amount of load a material can take before it will stretch and break.

Read more about stress - strain curves at; https://brainly.com/question/22394570

variable head permeability ?

Answers

Answer:

The variable head permeability test is one of various methods for determining soil permeability. It is used to determine the permeability of relatively new soil. Permeability refers to a soil's ability to enable water to pass through its pores or spaces.

Explanation:

Discuss on forced convection heat transfer with real examples.

Answers

Answer:

forced convection

Explanation:

When a fan, pump or suction device is used to facilitate convection, the result is forced convection. Everyday examples of this can be seen with air conditioning, central heating, a car radiator using fluid, or a convection oven.

binary classification algorithm

Answers

Answer:

What is this exactly?

Explanation:

If your asking for the definition, binary classification is the task of classifying the elements of a set into two groups on the basis of a classification rule.

Warning danger ahead sign

Answers

Answer: okiiiii

Explanation:

Answer

Ok

Explanation

A live load on a house includes the
A.Weight of snow or rain
B.Furnishings
C.Pressure of the earth against the foundation
D.Built-in cabinets

Answers

Answer:

D

Explanation:


How is a scale model different from other types of models?
It is made with clay.
It includes many engineers' ideas.
It maintains correct spatial relations.
It is the last type of godel created in the design process

Answers

Answer:

A scale model is a representation or copy of an object that is larger or smaller than the actual size of the object being represented. Very often the scale model is smaller than the original and used as a guide to making the object in full size.

Explanation:

Answer:

C.) It maintains correct spatial relations

Explanation:

Ong that's the answer

. What is wrought iron? Discuss in brief its chemical composition, properties and applications.​

Answers

Answer:

Wrought iron is an iron alloy with very low carbon content with respect to cast iron.

Explanation:

It is soft, ductile, magnetic, and has high elasticity and tensile strength. It can be heated and reheated and worked into various shapes.

Answer:

Wrought iron is an ferrous metal with a very low amount of carbon (less than 0.08%) compared to cast iron (2% or more). It is a semi-molten mass of iron with a fibrous sheath (up to 2% by weight), giving it a "grain" similar to wood grain, visible when bent or bent to the point of fracture. Wrought iron, malleable, easy to draw, corrosion resistant and easy to weld. Explanation:

A nut driver is a variation of a socket wrench, true?

Answers

Answer:

TRUE

Explanation:

Answer: True

Explanation: Nut drivers are sockets that can be snapped on or permanently fixed to a screwdriver-type handle.

pretty ako hjshjs ok.

Answers

Answer:

wala naman pong pic po wala kahit walang pic magan da parin

The process of refining specification involves
O defining the initial design.
O presenting the finished product to a client.
deciding whether or not to continue with a project.
O adjusting outcomes and making pragmatic changes.

Answers

Answer:

I'm not sure but I'm pretty sure it the second one (btw I'm sorry if this didn't help) :/

How does science and technology address the problems of the society?

Answers

Answer:

By ads online video (sorry if this doesn't help

Answer:

Through science and technology, we have solved many of humanity's problems, including hunger (at least in the Western world) with farming technologies and curing diseases through medical technologies. Inventions such as dishwashers, washing machines, and artificial lights have saved us immense amounts of time.

Explanation:

Science can not solve all of our problems. While scientific understanding can help battle things like disease, hunger, and poverty when applied properly, it does not do so completely and automatically. Furthermore, there are many areas of life where science can have little impact.

Twisting force is known as:
Select one:
A. thrust.
B. horsepower.
C. torque.
D. energy.

Answers

C Torque. Hope it helps

As an engineer you are responsible for selecting and procuring pump for your water distribution system. After some background study you selected and purchased an 1160 rpm Taco 4013 FI and CI series pumps with a 12.75 impeller diameter (for details see the ppt slides for the pump chapter). After procuring the pump you realize that you should have purchased a similar pump but with a 2000 rpm.

Required:
a. What will be your approach to handle this situation?
b. How would you prepare a performance curve at 2000 rpm?

Answers

In this picture there is answer…..

Why does a
generally decrease
with increasing
bond energy?

Answers

Answer:

What is the real meaning of this questions

Answer:

what whatwhat whatwhat the town hall meeting at the office in the morning and I can get you a new one for the kids

A positively charged electric has a charge of 2 Coulombs. If 12.5x10^18 free electrons are added to it, what will be the net charge on the said dielectric?

Answers

The net charge on the said dielectric is 0

1C = 6.25 * 10¹⁸ electrons; hence:

-12.5x10¹⁸ free electrons = (-12.5x10¹⁸ free electrons * (1C/ 6.25 * 10¹⁸ electrons))

-12.5x10¹⁸ free electrons = -2 C

A positively charged electric has a charge of 2 Coulombs, hence:

Q₁ = 2C

12.5x10¹⁸ free electrons are added to it, hence:

Q₂ = -2C

[tex]Net\ charge(Q_{net})=Q_1+Q_2=2C+(-2C)=0[/tex]

Hence the net charge on the said dielectric is 0

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In the figure, particle 1 of mass m1 = 3.1 kg slides rightward along an x axis on a frictionless floor with a speed of 5.0 m/s. When it reaches x = 0, it undergoes a one-dimensional elastic collision with stationary particle 2 of mass m2 = 4.6 kg. When particle 2 then reaches a wall at xw = 79 cm, it bounces from the wall with no loss of speed. At what position on the x-axis does particle 2 then collide with particle 1?

Answers

Answer:

We use Eq 9−67 and 9−68 to find the velocities of the particles after their first collision (at x=0 and t=0 )

ν

1f

m

1

+m

2

m

1

+m

2

ν

1i

=

0.30kg+0.40kg

0.30kg−0.40kg

(2.0m/s)=−0.29m/s

ν

2f

=

m

1

+m

2

2m

1

ν

1i

=

0.30kg+0.40kg

2(0.30kg)

(2.0m/s)=1.7m/s .

At a rate of motion of 1.7m/s,2x

w

=140cm (the distance to the wall and back to x=0 ) will be traversed by particle 2 in 0.82s . At t=0.82s , particle 1 is located at

x=(−2/7)(0.82)=−23cm ,

and particle 2 is " gaining " at a rate of (10/7)m/s leftward ; this is their relative velocity at that time . Thus , this "gap" of 23cm between them will be closed after an additional time of (0.23m)/(10/7m/s)=0.16s has passed . At this time (t=0.82+0.16=0.98s) the two particles are at x=(−2/7)(0.98)=−28cm

Explanation:

Determine the location of the maximum bending moment. In the formula, w is the rate of load increase in lb ft and l is the length (in ft) of the beam. calculus

Answers

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