Question: 6. In order to solve one-dimensional steady-state heat transfer problem, one element with thre nodes is used. The shape functions and the conductivity matrix before

6. In order to solve one-dimensional steady-state heat transfer problem, one element with thre nodes is used. The shape functions and the conductivity matrix before applying boundary cc ditions are given.

' Ni(x) = 1 — 3x + 2x2 f 1 —2 1 "

< iV2 {x) = 4x — 4x2 , [Kr] = —2 4 —2 _ N3 (x) = —x + 2x2 1 ~2 2

(a) When the temperature at Node 1 is equal to 40oC and the heat flux of 80 W is provided Node 3, calculate the temperature at x = 1 /4 m.

(b) When the temperature at node 1 is equal to 40oC and the convection boundary condition applied at node 3 with /j = 4 W/m2/°C, = 100oC, calculate the temperature x = l/4m.

(c) Instead of the previous boundary conditions, heat fluxes at Nodes 1 and 3 are given as Q\ a

<23, respectively. Can this problem be solved for the nodal temperatures? Explain your answ

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Systems Analysis And Design Using MATLAB Questions!

A novelty scale for measuring a persons weight by having the person stand on a piston connected to a water reservoir and stand pipe is shown in the diagram. The level of the water in the stand pipe...

In order to solve a 1D steadystate heat transfer problem, one element with 3nodes is used. The shape functions and the conductivity matrix before applying boundary conditions are given. a. When the...

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

Question 1 Netflix could be considered an impure public good sometimes because: Group of answer choices it is both rival and excludable we do not have enough information to answer this question it is...

(9 A can be described by the expression the case of chemical reaction is a solid surface the Mux for (A) N = dit v N + NA NI (B) N = J(N, NO N (C) N 1 + y (N+ 2N-IN) (D) None of the above 2. Mass...

1. Situation In this section of the case analysis, you will focus on identifying situational aspects that have led to the situation being reported in the case. These aspects should include relevant...

please help thank you Consider an ordinary annuity that pays out over 6 as well as an annuity due that also pays out over 6 periods. Assume that each of these annuities has the same interest rate....

Time Value of Money: Single Cash Flows Introduction Time value of money (TVM) is the foundation of mathematical finance. This assignment is designed to show you how the TVM concept can be applied to...

Creating the Clock Instructions: 1) Create a title for your clock. 2) Fill in the blanks using the given numbers in each problem. 3) Six of your numbers on the clock must be one-step equations, where...

10:51 Back Day Pro's Dilemma Founded in 1915, Day Pro has regularly managed to make a profits from Currently, company management plans to develop a packaging machine for electronic products. The...

Instructions Using the equation below, enter the three numerical constants and select the correct mathematical operators for the missing blocks also shown below in order to solve it correctly in...

A manufacturer of industrial equipment has a standard costing system based on machine hours (MHs) as the measure of activity. Data from the company's flexible budget for manufacturing overhead are...

When you scale up an object to 3 times its linear size, the surface area increases by (a) 3 and the volume by 9. (b) 3 and the volume by 27. (c) 9 and the volume by 27. (d) 4 and the volume by 8.

Will a possible change in tax rates this year require a re - evaluation of the deferred tax account?

The lack of innovation and entrepreneurial focus at American Express (AmEx) may be because of hubris, inertia, and a lack of capability. The firms performance in 2014 was not, by any means, what...

For a rectangular element shown in the figure, displacements at four nodes are given by $\left\{u_{1}, v_{1}, u_{2}, v_{2}, u_{3}, v_{3}, u_{4}, v_{4}ight\}=\{0.0,0.0,1.0,0.0,2.0,1.0,0.0,2.0\}$....

A beam problem under the pure bending moment is solved using CST finite elements, as shown in the figure. Assume $E=200 \mathrm{GPa}$ and $v=0.3$. The thickness of the beam is \(0.01...

A $2 \times 2 \times 1 \mathrm{~mm}^{3}$ square plate with $E=70 \mathrm{GPa}$ and $v=0.3$ is subjected to a uniformly distributed load as shown in the left figure. Due to symmetry, it is...

Which of the following statements relating to preference shareholders is incorrect? O Their dividend right is normally cumulative O They have a right to a fixed rate of dividend O They are normally...

On January 1, 2021, the Merit Group issued to its bank a $50 million, five-year installment note to be paid in five equal payments at the end of each year. Installment payments of $11.870 million...

1) Identify and explain purposes of external users of accounting information. (10 marks) 2) Explain how an accountant deals with carriage in and carriage out when preparing income statement. 115...