2. Solve the following ODE in space using finite difference method based on central differences with errorO(h). Use a five node grid.4u" - 25u0(0)=0(1)=2Solve analytically and compare the solution values at the nodes.

Calculation of constants:We get;now location wise , finding functional…

Solve the following ODE in space using finite difference method based on central differences with error O(h2). Use a five node grid. 4u" u(0) = 0 25u0 (1)=2 Solve analytically and compare the solution values at the nodes.

Solve the following ODE in space using finite difference method based on central differences with error O(h2). Use a five node grid. 4u" u(0) = 0 25u0 (1)=2 Solve analytically and compare the solution values at the nodes.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.7P

See similar textbooks

Related questions

Q: Not Ai generated answers, I need to understand please show all steps.

A: Please refer below page.If you have any questions feel free to ask.Explanation:

Q: What are the main factors influencing the flow velocity in an open channel? Explain how each factor…

A: The flow in river or canal is the examples of open channel flow. The average velocity of open…

Q: A 0.5 m-long metal composite shaft AB consists of a steel rod (radius r=25 mm), the outer surface of…

A: Answer and explanation are given below.Explanation: Please let me know if there are any further…

Q: For the offset slider crank shown in the figure below, the crank AB is rotating at constant speed of…

A: The value are The angle are The angular velocity of AB is

Q: If all of the words in the image shown below are supposed to have a common theme, then which of the…

A: Given:The diagram of the problem is given below;

Q: Locate all the instantaneous centers of the mechanism shown below: OB₂ = 20 cm, 020₁ = 15 cm, OC =…

A: The solution is given below.Explanation:Approach to solving the question: Detailed…

Q: An 75 N crate slides with constant speed a distance of 7.8 m downward along a rough slope that makes…

Q: Consider the two-dimensional velocity field given by V = (5+ a₁x + b₁y)₁ + (4+ a2x + b₂y)ĵ, where…

A: For the flow to be incompressible the divergence should be zero.

Q: A syringe, containing an incompressible fluid, is oriented vertically and the plunger is slowly…

Q: A 4-lb weight is attached to a spring having a stiffness k = 10 lb/ft The weight is drawn downward…

Q: For a bolted assembly with 8 bolts, the stiffness of each bolt is k_b = 1.1 N/mm and the stiffness…

A: Question is solved below Explanation:To find the maximum safe working load for the bolted assembly,…

Q: To test the strength of a 625 x 500-mm suitcase, forces are applied as shown. Take P = 116 N. 212 N…

Q: Beam ABC is subjected to the loading shown, where PB = 75.0 kN. The measurement corresponding to the…

A: To findDraw a free-body diagram.Determine the maximum shear force in beam ABC.GivenLoad, Length,

Q: solve, show assumptions and full solutions

A: The refrigeration capacity of the system is 7285 W.The pressure drop across the tube bank is 391.6…

Q: Problem 06.021 - Shearing stress in a beam having a non-symmetrical cross-se Consider the beam and…

A: The value of applied load is

Q: 2. A rectangular swimming pool is 1.5 m deep, 15 m wide, and 25 m long. Assume the bottom and sides…

Q: a. Number of Links: L= Number of joints: J₁= Number of half Joints: J₂= Mobility= b. Number of…

A: The mobility of the mechanism also known as degree of freedom is the number of motions a mechanism…

Q: For the beam and loading shown, use discontinuity functions to compute: (a) the slope of the beam at…

A: w = 6.8 kips/ftL = 20.8EI = 296000 kip-ft2

Q: Explain the concept of entropy and its significance in the second law of thermodynamics. Discuss how…

A: The solution is provided below.

Q: By this theory, all else being equal, a doubling of the pressure difference corresponds to increase…

Q: 5/7 The homogeneous slender rod has a uniform cross sec- tion and is bent into a circular arc of…

A: The objective of the question is to find the x and y coordinates of the mass center of a slender rod…

Q: A motor driving a solid circular steel shaft transmits 40 kW of power at 500 rpm. If the diameter of…

Q: For the following mechanism, Given: . • Lengths: O₂A=4 in., O;B-8 in, BC=5 in., O₂O3-4 in. and…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: what is its speed at time t?

Q: 6.127 The press shown is used to emboss a small seal at E. Knowing that P = 250 N, determine (a) the…

Q: The mechanism shown in (Figure 1) is used in a riveting machine. It consists of a driving piston A,…

A: Given:To find:Velocity of D.

Q: By using the expression for the shear stress derived in class (and in BSL), show that the shear…

A: The objective of the question is to demonstrate that the shear force on a sphere spinning at a…

Q: Identify the number of links, full joints and half joints, and then determine the degree of freedom…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: This is not a quiz question. It is part of a review packet. Free Body Diagram and Kinetic Free…

A: To solve this problem, we first need to analyze the forces acting on the carriage and then use the…

Q: A particular thermodynamic cycle acting on a monatomic ideal gas (y = 1.67) includes an isobaric…

Q: Water is discharging through a circular orifice plate 25mm in diameter in the vertical side of the…

A: See an attachment for the solution. Explanation:

Q: Determine the force in member FE of the truss below. Indicate as positive if the member is in…

A: Determine the force in member FE of the truss below. Indicate as positive if the member is in…

Q: A rigid ball of weight 100 N is suspended with the help of a string. The ball is pulled by a…

A: Given data:Weight of the ball, W = 100 N.Draw the labeled diagram for the system,Apply Lami's…

Q: If a 200 N force F1 is applied to the piston with the 4 cm diameter, what is the magnitude of the…

A: Given data:find:Force resisted by piston F2

Q: Calculate the reactions at A and B due to the given point load in Fig

A: RA = 70kNRB = 150kNExplanation:

Q: The energy flux associated with solar radiation incident on the outer surface of the earth's…

Q: Q1: A refrigerator operates on an ideal vapor compression refrigeration cycle ( with R-134 a) as a…

Q: An ammonia vapour-compression refrigerator operates between an evaporator pressure of 2.077 bar and…

A: The objective of the question is to calculate the Coefficient of Performance (COPrer) and the…

Q: Consider the pin jointed truss structure depicted in the accompanying figure and determine the force…

Q: A BMW vehicle consumes 2.5 gallons of gasoline in 60 minutes while operating at3000 RPM. Calculate…

Q: Hi can you please help me at this point with C and D here?

A: To calculate the angle of twist at B, and determine the maximum shear stress of the segments AB and…

Q: B 120 mm C 240 mm 240 mm PROBLEM 16.87 A 4-kg slender rod is welded to the edge of a 3-kg uniform…

A: The mass of disc is The mass of rod is The angular velocity is (CCW)The angular acceleration is…

Q: A pipe is buried underground during summer 20°C. Winter kicks in suddenly, and air at Too the ground…

Q: Water stored in a large, well-insulated storage tank at 210C, an from this tank by a pump at the…

Q: (b) Determine the effect of flushing of the toilet on the flow rate through the shower head. Take…

Q: Two portions of member AB are glued together along a plane forming an angle with the horizontal.…

A: The ultimate stress (tension) is The ultimate shear stress is The force applied is The minimum…

Q: For the compressor shown in the following figure, find the position of the piston with respect to O.…

A: ..

Q: An element of a material is subjected to plane stresses as shown in the figure. Calculate the unit…

Q: What is the diameter of a #10 twist drill?

A: Here is the solution of your question:-Explanation:A #10 twist drill typically refers to a drill bit…

Q: *4-12. Determine the angle (0° 0≤ 180°) of the force F so that it produces a maximum moment and a…

Concept explainers

Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.

Question

2. Solve the following ODE in space using finite difference method based on central differences with error
O(h). Use a five node grid.
4u" - 25u0
(0)=0
(1)=2
Solve analytically and compare the solution values at the nodes.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Analytical calculation

VIEW

Step 2: Numerical Approch

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 9 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

2. Answer the question completely and write down the given, required and formula that had been used. Provide graph and accurate/comple solution. The value are: V- 1 X- 5 W- 7 Y- 6 Z- 8
6 108 polynomial is used to approximate v8, the answer is: dy 13. of the parametric equations x: 2-3t 3+2t and y =- is dx Use the following information for Questions 14 and 15: 1+t 1+t Using the Newton-Raphson method to determine the critical co-ordinate of the graph y=f(x)=(x)*an (*) (in words x to the power of tan (x)), you will be required to determine f'(x) 14. The expression for f'(x) is: The following tools were required in determining an expression for f'(x): Application of the natural logarithm 15. I. II. The product rule III. Implicit differentiation
(3) For the given boundary value problem, the exact solution is given as = 3x - 7y. (a) Based on the exact solution, find the values on all sides, (b) discretize the domain into 16 elements and 15 evenly spaced nodes. Run poisson.m and check if the finite element approximation and exact solution matches, (c) plot the D values from step (b) using topo.m. y Side 3 Side 1 8.0 (4) The temperature distribution in a flat slab needs to be studied under the conditions shown i the table. The ? in table indicates insulated boundary and Q is the distributed heat source. I all cases assume the upper and lower boundaries are insulated. Assume that the units of length energy, and temperature for the values shown are consistent with a unit value for the coefficier of thermal conductivity. Boundary Temperatures 6 Case A C D. D. 00 LEGION Side 4 z epis
Use a step size of 0.1 and round your answers to five decimal places if needed. Use Euler's method to approximate the solution x10 for the IVP y' 8y, y(0) 1. The Euler approximation for x10 is
3. Using the trial function uh(x) = a sin(x) and weighting function wh(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx - 2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx - 2 = 0 u(0) = 1 u(1) = 0
x^2-5x^(1/3)+1=0 Has a root between 2 and 2.5 use bisection method to three iterations by hand.
Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown. Don’t forget to include direction when called for by a vector variable 12) The air conditioner removes 2.7 kJ of heat from inside a house with 450 m3 of air in it. At a typical air density of 1.3 kg/m3 that means 585 kg of air. If the specific heat of air is 1.01 kJ/(kg oC), by how much would this cool the house if no heat got in through the rest of the house during that time?
Some US census population data is given in the following table. Year yeatr 1980 1990 2000 population(y) 227 249 281 Here population is given in millions. 1. Fit a second degree polynomial passing through these points. 2. Use it to predict population in year 2010 and 2020. Note: Develop the linear system of equations from the above theory and solve the system by LU Decomposition Method. (linear algebra)
Please answer with The Network Simplex Method
3. Using the trial function u¹(x) = a sin(x) and weighting function w¹(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx -2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx-2 = 0 u(0) = 1 u(1) = 0
Determine if the system is consistent or inconsistent. Justify your answer and find all solutions to the system of linear equations. Justification should be written on your solution paper. Transform the matrix into ROW ECHELON FORM (REF) using row operations. 2x +8y+ 6z = 20 4x+2y-2z =-2 3x-y+z = 11 Enter final answer: (x, y, z) =(
A webassign.net/web/Student/Assignment-Responses/last?dep=28040811 Consider the following. Z = 2 Sketch a graph of the plane. 10 10 0. 5. 5. 10 10 10 10 10 10 rz 0. 5. 10 10 10 10 O Type here to search