22. Develop an algorithm, along with the program (preferably in python), to find thetemperature distribution in the example belowNOTE: Use the explicit finite differences methodEXAMPLE 5.9A fuel element of a nuclear reactor is in the shape of a plane wall of thickness2L = 20 mm and is convectively cooled at both surfaces, with h = 1100 W/m². Kand T=250°C. At normal operating power, heat is generated uniformly within theelement at a volumetric rate of q₁ = 107 W/m³. A departure from the steady-stateconditions associated with normal operation will occur if there is a change in thegeneration rate. Consider a sudden change to q₂ = 2 × 107 W/m³, and use theexplicit finite-difference method to determine the fuel element temperature distribu-tion after 1.5 s. The fuel element thermal properties are k = 30 W/m . K and a =5 × 10-6 m²/s.

import numpy as np # Constants and parameters L = 0.01 # Thickness of the wall (m) h = 1100 #…

Answered: 22. Develop an algorithm, along with…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The following figure shows a coffee thermos as a lumped thermal system. Derive the symbolic expression using the given parameters for the temperature change rate of the coffee dT/dt (10 Ambient Temperature Ta Thermos Thickness L Surface area A Conductivity k Connectivity with air h₂ Coffee Temperature T Thermal capacitance C Connectivity with the thermos h₁
36 -S 42 2. Metal castings can sometimes develop a gap between the casting and mold as the molten metal hardens. The result can be a substantially altered cooling process. Set up a simple heat-transfer model that would let you look at the effect of the gap on the cooling process. Assume the casting and mold are square in shape, with an air gap of thickness das shown in the figure. The mold sits in some ambient room temperature. State clearly all assumptions and develop a corresponding model of the heat transfer problem. Assuming that the casting is aluminum, the mold is diatomaceous earth and the gap is filled with air, see if you can arrive at and summarize some insight into the effect of the gap and its size on the heat transfer process.
2) Design a chain link (meaning find its diameter) made out of a ductile cast iron which needs to operate in a furnace that is used to fire ceramic bricks. The chain will be used for five years at 600°C with an applied load of 5000 lbs. Below is a diagram of the chain link and the Larson-Miller parameter graph for this particular cast iron. Be sure to use the specific equation for the Larson-Miller parameter provided on the x-axis of the graph. Furthermore, for your calculations assume a Safety Factor of 2. Stress (psi) 20,000 10,000 8,000 6,000 4,000 2,000 1,000 32 34 36 Larson-Miller parameter = 30 38 40 42 (36+0.78 ln 1) T(K) 1000 1200 dis SH ER
Figure Q2 shows discrete locations of sampled soil electrical conductivity (dS/m). Estimate the magnitude of electrical conductivity at points P, R and T using inverse distance weighting 24 24 Estimate the accuracy of the estimation based on R² if the actual values at P is 5.2 dS/m, at 11 dS/m, and 6.9 dS/m at R 21 12 18 15 12 11 9 6 3 3 1.5 23 R 0 3 6 9 50 17 T 12 12 15 18 Figure Q2 24 21 24
1. Suppose you have a 4-foot metal rod, made out of steel which has a thermal conductive factor of a = 4 Assume the temperature on the ends of the rod is always 0 degrees. a) Filling in the numerical parameters mentioned above in the problem, write down the general solution to this heat equation, which should include some unknown coefficients (c,'s), in addition to t's and x's.
One-dimensional, steady-state conduction with uniform internal energy generation occurs in a plane wall which is subject to convection on the left side at x = 0 and being well-insulated on the other.a) Specify the mathematical model defining T(x): provide a governing differential equation and appropriate boundary conditions. Express your answer in terms of defined variables rather than numerical values with units. b) Solve for the temperature profile T(x) referencing the x-origin as shown on the left surface (again expressing your answer in terms of defined variables rather than numericalvalues.) c) Find the maximum temperature in the wall and the wall surface temperature if the volumetric generation is qdot = 1 MW/m^3 with the remaining parameters as specified in the figure.
The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, a²T ²T + a²x a²y If the plate is represented by a series of nodes as illustrated in Figure, centered finite-divided differences can be substituted for the second derivatives, which results in a system of linear algebraic equations. Use the Gauss-Seidel method to solve for the temperatures of the nodes in Figure. 0= Submission date: 09/01/2024 25°C T12 T₂2 250°C # T₁1 T₂1 250 CO 75°C 25°C 75°C 0°C 0°C

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS