Calculate the temperature gradient at center of each element

Assignment Help Mechanical Engineering

Reference no: EM132313323

Finite Element Methods in Engineering Assignment - FE modelling of temperature distribution in a steel plate

Project Description: This project aims to solve a 2D steady state heat transfer in a plate which subjects to different boundary conditions by manually calculation and ANSYS software.

Problem: Consider steady two-dimensional heat transfer in a steel thin plate whose cross section is given in the following figure. There is no heat generation; the temperature difference through the plate thickness is negligible. The thermal conductivity of the steel plate is 50 W/(m·^oC). The entire top surface 'AD' is subjected to constant heat flux q'' = 2000W/ m². The bottom surface 'BC' is maintained at 150^oC. The left side surface 'AB' of the body is insulated; the right side surface 'CD' of the body is under convection with ambient air at T_f = 20^oC with a convection coefficient of h = 75 W/(m²·^oC). The mesh size is Δx = 0.15m, Δy = 0.2m for manual calculation.

(1) Use the finite element method to determine the temperature for each node. You are requested to manually construct the global stiffness matrix and global load matrix.

In the report, you need to show the procedure to determine the stiffness and load matrix of each element, and how to construct of global stiffness and load matrix.

(Tips: As solving node temperature by global stiffness and load matrix is too difficult by hand, Matlab is recommended. The other program or excel also can be used for this purpose. The matlab code or excel file needs to be attached.)

(2) You are also requested to manually calculate the temperature gradient at center of each element.

In the report, you need to show the procedure how to manually calculate the temperature gradient at center of each element.

(3) You are requested construct a 2D model in ANSYS, and use ANSYS to solve the question in Item 1 and compare it with your manual calculation.

In the report, you need to show the geometry of the body, mesh of the model, boundary conditions, temperature and/or heat flux results. The comparison of manual calculation and ANSYS solution is requested.

(Tips: The mesh size in ANSYS can be different with manual calculation. But you need to determine the temperature for the locations in Item 1 for comparison).

(4) Use ANSYS to determine average reaction heat transfer rate acting on the bottom surface 'BC' and right surface 'CD'. You also need to manually determine the heat transfer rate at the top surface 'AD' and left surface 'AB'. Then you are requested to discuss the energy balance of the system.

(Tips: In ANSYS, you can use reaction probe shows the Heat transfer rate).

(5) Plot the temperatures along the line A and E for three convection coefficients acting on the right side 'CD', 10 W/(m²·^oC), 75 W/(m²·^oC) and 150 W/(m²·^oC), and discuss the results.

(Tips: You can solve the results for h = 10 W/(m²·^oC) and h = 150 W/(m²·^oC) either manually or using ANSYS).

Reference no: EM132313323

Questions Cloud

Market structure monopolistic competition : Briefly discuss any two differences in the market structure that Coles belongs to with the market structure Monopolistic Competition.

Community help to curtail minors breaking the law : What you found in your law research. Remember to connect to theory to back up your opinion. How can we as a community help to curtail minors breaking the law.

Explain why the government grants to the taxpayer : For Taxation purposes, is James a resident of Australia? What is the source of his salary from Sails International - would he be entitled to the main residence

Describe the new strategy that coles : What is the term used to describe the new strategy that Coles is adopting to increase market share?

Calculate the temperature gradient at center of each element : MECH 419 Finite Element Methods in Engineering Assignment - FE modelling of temperature distribution in a steel plate, University of Wollongong, Australia

Difference between extrinsic and intrinsic motivation : What is the difference between extrinsic and intrinsic motivation? Explain and What is the connection between value system and motivation? Explain

Definition of theme is often abridged to the main idea : The definition of Theme is often abridged to "the main idea." However, Theme is more involved than that. Essentially, a theme is the author's message

Sales manager in your organization : Employability and Self-development - To which extent can HARD HR approach be taken by an organization - Application for Employent as a sales manager

Reviews

len2313323

5/29/2019 12:26:33 AM

The assignment may be completed individually or by a group up to 2 students. The group formation is your own responsibility. Members may be from the same or different tutorial groups. No collaboration between groups permitted. The assignment should be submitted to Central of EIS using then barcoded sheet. Late submission will incur penalty as described in the subject outline. If the assignment is completed by group, statement indicating the effort or contribution to the assignment by each member and signed by all members must be included in the beginning of the report, or all students agree that they have contributed equally to the report –add a statement at the front of the report, signed by all members. The assignment must be submitted as a formal typed report. You need to include the analysis of the problem, the procedure for FEM solution, and discussion of the results.

Write a Review

Required(*) Message

User Account

All Pages